1.(A) Can you complete the following language equations?

7 D in a W

A S has 4 S

20,000 L U the S

9 P in the S S

1760 Y in a M

1.(B) What number comes next in this sequence:

0 10 1110 3110 132110 1113122110 ?

1.(C) What is represented by this BrainBat?

E E

YY

E E

D D

1.(D) One day Kerry celebrated her birthday. Two days later her older twin brother, Terry, celebrated his birthday. How could this be?

1.(E) Trouble with Sons: A woman had two sons who were born on the same hour of the same day of the same year. But they were not twins. How could this be so?

1.(F) A man builds a house rectangular in shape. All sides have southern exposure. A big bear walks by, what color is the bear? Why?

1.(G)A clerk in the butcher shop is 5' 10'' tall. What does he weigh?

1.(H) What fruit has its seeds on the outside?

1.(I) At the annual dancer's ball a number of very experienced dancers performed their favourite dance with their favourite partners. Alan danced the tango, whilst Becky watched the waltz. James and Charlotte were fantastic together. Keith was magnificent during his foxtrot and Simon excelled at the rumba. Jessica danced with Alan, but Laura did not dance with Simon. Can you determine who danced with whom and which dance they each enjoyed?

1.(J) Last week I spent half of my money on a new jacket and then I spent half of that amount on some new trousers. I was left with £32.94. How much did I spend?

1.(K) What number comes next in this sequence:

1 3 5 7 11 ?

1.(L) What well known saying is represented by:

Initiate a cursory perusal prior to vaulting.

1.(M) What is it that when you need it, you can't buy it and when you can buy it, you don't need it?

1.(N) Find two words, which are anagrams of each other, which complete this sentence:

Due to a recent outbreak of a ==?== infection in the zebra house, the local zoo had to ==?== their electron microscope correctly, to ensure rapid detection.

1.(O) Recently, Snow White's seven dwarfs met up with three of their friends and went to the cinema to see Bambi. From the clues below, can you determine the order in which they stood in the ticket queue?

Grumpy was in front of Dopey. Stumpy was behind Sneezy and Doc. Doc was in front of Droopy and Happy. Sleepy was behind Stumpy, Smelly and Happy. Happy was in front of Sleepy, Smelly and Bashful. Bashful was behind Smelly, Droopy and Sleepy. Sneezy was in front of Dopey. Smelly was in front of Grumpy, Stumpy and Sneezy. Dopey was in front of Droopy. Sleepy was in front of Grumpy and Bashful. Dopey was behind Sneezy, Doc and Sleepy. Stumpy was in front of Dopey. Smelly was behind Doc.

1.(P) Which pair of letters comes next in this sequence:

on et wo th re ef ou

1.(Q) Which letter is missing from this sequence:

B C D G P T V

1.(R) Below are seven countries, whose letters have been scrambled. Once you have unscrambled the letters, the first letters of each of the countries can then be scrambled to make another country. Can you find this country?

AADNORR AEHIIOPT

CEEEGR AAAACDGMRS

ANORWY AAIMNOR

EEMNY

1.(S) What number is three quarters of eight ninths of one half of 2001?

1.(T) What letter comes next in this sequence:

Y Y H L Y E Y T ?

1.(U) Find 19 creatures in this narrative:

Kneel in the kayak grasping the boat, but don't wrench the bullion or scowl at the chart. Behind the taped and sealed planter is a benevolent collier. The foxglove is in the bath.

1.(V) A weightless and perfectly flexible rope is hung over a weightless, frictionless pulley attached to the roof of a building. At one end is a weight, which exactly counterbalances a monkey at the other end. If the monkey begins to climb, what will happen to the weight - will it remain stationary, will it rise or will it fall?

1.(W) What number comes next in this sequence:

1 23 124 1251 26127 128129 ?

1.(X) At the local play group for babies and toddlers, I was asking the mothers about the number of teddies each of their children has. The four children are aged 1, 2, 3 and 4. Remarkably, the children have one, two, three and four teddies, although not necessarily respectively. Darren has more teddies that his age. John is older than Matthew. Curiously only one child has the same number of teddies as their age. Paul has less teddies than John and the child aged 3 has two teddies. Paul is the youngest. Give the age and the number of teddies each child has?

1.(Y) Below are ten everyday words, each of which has had some letters removed. The letters removed form either a boy's or a girl's name. Can you determine the original words..?

DEMI****

***PLE

ABSOR***T

HE***CHE

SC****R

****IONAIRE

BREAK***CE

MONOG***

*****INCENSE

S***LY

.(A) Can you complete the following language equations?

8 D in a W

A S has 4 S

20,000 L U the S

10 P in the S S

1761 Y in a M

1.(B) What number comes next in this sequence:

0 10 1110 3110 132110 1113122110 ?

1.(C) What is represented by this BrainBat?

E E

YY

E E

D D

1.(D) One day Kerry celebrated her birthday. Two days later her older twin brother, Terry, celebrated his birthday. How could this be?

1.(E) Trouble with Sons: A woman had two sons who were born on the same hour of the same day of the same year. But they were not twins. How could this be so?

1.(F) A man builds a house rectangular in shape. All sides have southern exposure. A big bear walks by, what color is the bear? Why?

1.(G)A clerk in the butcher shop is 5' 10'' tall. What does he weigh?

1.(H) What fruit has its seeds on the outside?

1.(I) At the annual dancer's ball a number of very experienced dancers performed their favourite dance with their favourite partners. Alan danced the tango, whilst Becky watched the waltz. James and Charlotte were fantastic together. Keith was magnificent during his foxtrot and Simon excelled at the rumba. Jessica danced with Alan, but Laura did not dance with Simon. Can you determine who danced with whom and which dance they each enjoyed?

1.(J) Last week I spent half of my money on a new jacket and then I spent half of that amount on some new trousers. I was left with £32.94. How much did I spend?

1.(K) What number comes next in this sequence:

1 3 5 7 11 ?

1.(L) What well known saying is represented by:

Initiate a cursory perusal prior to vaulting.

1.(M) What is it that when you need it, you can't buy it and when you can buy it, you don't need it?

1.(N) Find two words, which are anagrams of each other, which complete this sentence:

Due to a recent outbreak of a ==?== infection in the zebra house, the local zoo had to ==?== their electron microscope correctly, to ensure rapid detection.

1.(O) Recently, Snow White's seven dwarfs met up with three of their friends and went to the cinema to see Bambi. From the clues below, can you determine the order in which they stood in the ticket queue?

Grumpy was in front of Dopey. Stumpy was behind Sneezy and Doc. Doc was in front of Droopy and Happy. Sleepy was behind Stumpy, Smelly and Happy. Happy was in front of Sleepy, Smelly and Bashful. Bashful was behind Smelly, Droopy and Sleepy. Sneezy was in front of Dopey. Smelly was in front of Grumpy, Stumpy and Sneezy. Dopey was in front of Droopy. Sleepy was in front of Grumpy and Bashful. Dopey was behind Sneezy, Doc and Sleepy. Stumpy was in front of Dopey. Smelly was behind Doc.

1.(P) Which pair of letters comes next in this sequence:

on et wo th re ef ou

1.(Q) Which letter is missing from this sequence:

B C D G P T V

1.(R) Below are seven countries, whose letters have been scrambled. Once you have unscrambled the letters, the first letters of each of the countries can then be scrambled to make another country. Can you find this country?

AADNORR AEHIIOPT

CEEEGR AAAACDGMRS

ANORWY AAIMNOR

EEMNY

1.(S) What number is three quarters of eight ninths of one half of 2001?

1.(T) What letter comes next in this sequence:

Y Y H L Y E Y T ?

1.(U) Find 19 creatures in this narrative:

Kneel in the kayak grasping the boat, but don't wrench the bullion or scowl at the chart. Behind the taped and sealed planter is a benevolent collier. The foxglove is in the bath.

1.(V) A weightless and perfectly flexible rope is hung over a weightless, frictionless pulley attached to the roof of a building. At one end is a weight, which exactly counterbalances a monkey at the other end. If the monkey begins to climb, what will happen to the weight - will it remain stationary, will it rise or will it fall?

1.(W) What number comes next in this sequence:

1 23 124 1251 26127 128129 ?

1.(X) At the local play group for babies and toddlers, I was asking the mothers about the number of teddies each of their children has. The four children are aged 1, 2, 3 and 4. Remarkably, the children have one, two, three and four teddies, although not necessarily respectively. Darren has more teddies that his age. John is older than Matthew. Curiously only one child has the same number of teddies as their age. Paul has less teddies than John and the child aged 3 has two teddies. Paul is the youngest. Give the age and the number of teddies each child has?

1.(Y) Below are ten everyday words, each of which has had some letters removed. The letters removed form either a boy's or a girl's name. Can you determine the original words..?

DEMI****

***PLE

ABSOR***T

HE***CHE

SC****R

****IONAIRE

BREAK***CE

MONOG***

*****INCENSE

S***LY

2.(A) Insert the missing letter

V S O L H ?

2.(B) Insert the missing letter

B 4 J 2 N 3 ?

2.(C) Insert the word that completes the first word and starts the second. PR(…..)UAL

2.(D) Insert the missing letter .

M N L P H ?

2.(E) Insert the word that completes the first word and starts the second.

PRO(….)ILE

2.(F) Insert the missing letter

B E ? Q Z

2.(G) A starts business with a capital of Rs.1400. Five months later B joins and a further two months later C joins them. What amount of capital are put in by C and B if at the end of the year their shares of profit are as 4:3:2?

2.(H) Generation = 95 Television = ?

2.(I) An escalator is descending at constant speed. A walks down and takes 50 steps to reach the bottom. B runs down and takes 90 steps in the same time as A takes 10 steps. How many steps are visible when the escalator is not operating?

2.(J) Every day a cyclist meets a train at a particular crossing. The road is straight before the crossing and both are traveling in the same direction. The cyclist travels with a speed of 10 km/h. One day the cyclist comes late by 25 min. and meets the train 5km before the crossing. What is the speed of the train?

2.(K) There are five persons with surnames Mukherjee, Misra, Iyer, Patil and Sharma. There are 4 persons having first or middle name of kumar, 3 persons with Mohan, 2 persons with Dev and 1 Anil. Either mukherjee and Patil have a first or middle name of Dev or Misra and Iyer have their first or middle name of Dev. Of Mukherkjee and Misra, either both of them have a first or middle name of Mohan or neither have a first or middle name of Mohan. Either Iyer or Sharma has a first or middle name of Kumar but not both. Who has the first or middle name of Anil?

2.(L) Sometime after 10:00 PM a murder took place. A witness claimed that the clock must have stopped at the time of the shooting. It was later found that the position of both the hands were the same but their positions had interchanged. Tell the time of the shooting (both actual and claimed).

2.(M) Next number in the series is

1 , 2 , 4 , 13 , 31 , 112 , ?

2.(N) Two twins have certain peculiar characteristics. One of them always lies on Monday, Wednesday, Friday. The other always lies on Tuesdays, Thursdays and Saturdays.

On the other days they tell the truth. You are given a conversation.

Person A-- today is Sunday my name is Anil

Person B -- today is Tuesday, my name is Bill

What day is today?

2.(O) There is a safe with a 5 digit number as the key. The 4th digit is 4 greater than second digit, while 3rd digit is 3 less than 2nd digit. The 1st digit is thrice the last digit. There are 3 pairs whose sum is 11. Find the number.

2.(P) If a clock takes 7seconds to strike 7, how long will the same clock take to strike 10?

2.(Q) AB is a unique and interesting 2 digit number. If you multiply it by any digit from 1 to 9 you get a number whose last two digits are consecutive. Can you identify AB?

2.(R) A hotel has 10 storeys. Which floor is above the floor below the floor, below the floor above the floor, below the floor above the fifth?

2.(S) Seven members sat around a table for three days for a conference. The member's names were Abhishek, Amol, Ankur, Anurag,Bhuwan, vasu and Vikram. The meetings were chaired by Vikram. On the first evening members sat around the table alphabetically. On the following two nights, Vikram arranged the seating so that he could have Abhishek as near to him as possible and absent minded Vasu as far away as he could.

On no evening did any person have sitting next to him a person who had previously been his neighbour. How did Vikram manage to seat everybody to the best advantage on the second and third evenings?

2.(T) Complete the series:

5, 20, 24, 6, 2, 8, ?

2.(U) Three friends divided some bullets equally. After all of them shot 4 bullets the total number of bullets remaining is equal to the bullets each had after division. Find the original number divided.

2.(V) There are 3 societies A, B, C. A Lent cars to B and C as many as they had already. After some time B gave as many tractors to A and C as many as they have. After sometime c did the same thing. At the end of this transaction each one of them had 24. Find the cars each originally had.

2.(W) Given that April 1 is Tuesday.

A, B, C are 3 persons told that their farewell party was on

A - May 8, Thursday

9 B - May 10,Tuesday

10 C - June 5, Friday

Out of A, B, C only one made a completely true statement concerning date, day and month. Of the rest one told the day right and the other the date right. What are correct date, month, and day?

2.(X) The Bulls, Pacers, Lakers and Jazz ran for a contest.

Anup, Sujit, John made the following statements regarding results.

11 Anup said either Bulls or Jazz will definitely win

Sujit said he is confident that Bulls will not win

12 John said he is confident that neither Jazz nor Lakers will win

When the result came it was found that only one of the above three had made a correct statement.

Who has made the correct statement and who has won the contest?

2.(Y) Fifty minutes ago if it was four times as many minutes past three o'clock, how many minutes is it to six o'clock?

3.(A) Bill and Mary run two laps around a track. Mary runs at the same speed all the way. Bill lets her get ahead by running for one lap at her speed less “x” and then shows off by running the second lap at her speed plus “x”. Who wins the race?

3.(B) An Oarsman leaves his boat house on the river and rows upstream at a steady rate. After two kilometers, he passes a log floating down the river. He continues on for another hour and then turns around and rows back downstream. He overtakes the log just as he reaches the boathouse. What is the flow velocity of the river?

3.(C) In Bill’s sock drawer, are eight pairs of white socks and six pairs of red socks (He is a snappy dresser). How many socks does he have to pick at random to be sure he has a matched pair?

3.(D) James beat Kidd in a set of tennis 6-3. Five of the games were won by the receiver. Who served first?

3.(E) Find the words whose initials are on the right side of the equations below.

26 = L of the A. 88 = K on a P.

7 = W of the A W. 13 = S on the A F.

32 = D F at which W F. 1001 = A N.

12 = S of the Z. 54 = C in a D.

3.(F) A light weight boat is floating in calm water. A man walks from one end of boat to the other. Does the boat move while he is walking and then stop; continue moving; or not move at all?

3.(G) When an airplane recently flew from Los Angeles to San Francisco with a moderate headwind, its average speed was 380 mph. On the return trip with the wind, its average speed was 420 mph. What was the average speed for the round trip?

3.(H) Two teams play series of baseball matches. To win, a team needs to win four games first (before the other wins four). Before start, probability that team A wins is 0.5. Team A wins game one. What is the probability now of winning the series? What will be the probability that it wins the series, if it wins game two? What if it wins game three?

3.(I) If a meteorite drifts slowly into earth’s gravitational field, how fast will it be moving, when it reaches earth’s atmosphere, at a height of about 200 km?

3.(J) Which is larger; e^pi or pi^e ?(don’t use calculator. use analytical methods)

3.(K) What is the ratio of height to base diameter of a cylindrical can that encloses a given volume with minimum area of metal? Why don’t the cans on the grocery store shelves have this ratio?

3.(L) Each alphabet stands for one digit in the following multiplication.

T H I S

x I S

---------

X F X X

X X U X

------------

X X N X X

------------

What is the maximum value T can take?

3.(M) The music stopped. The woman dies. Why?

3.(N) A horse is tied to a five meter rope, six meters away from

It was a bail of hay. Without breaking the rope, the horse

Was able to get to the bail of hay. How is this possible?

3.(O) What gets harder to catch, the faster you run?

3.(P) It's more powerful than God.

It's more evil than the devil.

The poor have it.

The rich need it.

If you eat it, you'll die.

What am I?

3.(Q) A man decides to quit his job, so he turns off the lights, and walks out of the room, and 200 people die. Why do 200 people die?

3.(R) As I was walked my dog to the market I met an elderly couple going in the opposite direction with their 3 sons and 3 daughters. Each son had 2 dogs of his own and each dog had 3 fleas. Each daughter had 2 cats and each cat had 2 fleas. In total, how many persons, animals and insects were going to the market?

3.(S) I live above a star that does not burn, I have 11 friends that do not turn. My initials are PRS.

3.(T) Shortly after leaving Sdrac, a wolf like creature emerged from a cave. While our hero was deciding what he should do, he sized up the creature. Its body was four times as long as its head, & its head was a third of the length of its tail. The creature was 5 1/3 feet in length, from the top of its head to the end of its tail, so how long was its tail?

3.(U) The records in a certain town indicate that a man had a brother who died. Other records indicate that the man who died had no brother. Neither report was false. What is the most plausible reason for this?

3.(V) Pick the odd man out in the following two series:

S D F G H J T L

D V O N A S W

3.(W) What sentence is concealed below?

IOEAESMGVL

What famous theatric quotation does this series of letters conceal?

OERTOETSEN

3.(X) My last three letters are hard & cold. Remove my first two letters, & you have a word meaning 'minutely accurate.' I am a city. What am I?

3.(Y) In a perfectly circular arena, I walk from the edge directly to the center. I then turn directly to my left, & walk in a straight line to the edge of the arena. I then turn to the right & follow along the edge for a total of 500 meters until I arrive at the point that I started from. What is the circumference of the inner edge of the arena?

4.(A) What do the following words have in common?

13 IRISH MASTER ROUSE

CHAMPION VIOLENT

4.(B) What is the next number in this series?

149, 162, 536, 496, 481, ...

4.(C) Complete these words by inserting the same three letters in each.

B---LE R---ENT L---UE

4.(D) Rearrange these letters to form the title of a Clint Eastwood movie:

MAYOR'S FILM TYPE

4.(E) What do the following words have in common?

ROW RACK RAGE GAIN KING

4.(F) Rearrange these letters to form two different eight-letter words:

B F H I L O S W

4.(G) A hand of cards consists of one Queen, two Diamonds, three Aces, and four Spades. What is the minimum number of cards the hand could contain?

4.(H) The word FACETIOUSLY contains the vowels A, E, I, O and U, plus Y, in alphabetical order. Can you think of another English word that does the same?

4.(I) Beth is 16 years younger than Jo. In 10 years time Jo will be twice as old as Beth. How old are they now?

4.(J) What is the lowest number which, when written out in words, requires the five vowels A, E, I, O and U, once each, in its spelling.

4.(K) Rearrange the following letters to form two different eight-letter words.

C E L N O O S S

4.(L) Replace the missing vowels to find five animals.

GRLL GZLL CHTH LND

4.(M) Rearrange the following letters to form a well-known proverb.

THINKER HITS OIL OTHERWISE

4.(N) Three fish have a total weight of 15 pounds. The lightest is one quarter the weight of the other two together, and the heaviest is one pound less than the weight of the other two together. How much does each fish weigh?

4.(O) What do the following words have in common?

DATE AGE GROVE DRAKE GO

4.(P) What do the following words have in common?

MELLOW SLACK CLUE GROWN

4.(Q) The difference between the squares of two consecutive positive whole numbers is 25. What are the two numbers?

4.(R) Rearrange the following letters to form the title of a 1980 movie.

VAMPIRE IN JET BAN

4.(S) Complete these words by inserting the same three letters in each.

RO---T DISA---E AM---H

4.(T) What do the following words have in common?

RED ROSE WORM COTTON BRUSH

4.(U) Rearrange the following letters to form a single word.

MAN USES METER

4.(V) What number gives the same result when it is added to five as when it is multiplied by five?

4.(W) Rearrange these letters to give four different 6-letter words:

B E L S T U

4.(X) Rearrange these letters to give the name of a famous jazz musician:

ROUSING MORTALS

4.(Y) A driver sets out on a 20-mile trip. When he has gone halfway he finds he has averaged 25 mph. At what speed must he travel the rest of the way to make his overall average speed for the trip 40 mph?

5.(A) what is the missing number in the series? 16 21 26 26 12 ? 19

5.(B) If 7^33 is divided by 10 , what will the remainder be?

5.(C) If one type of weight can balance either 5 gold coins or 4 silver coins , then 10 weights of the same type can balance 20 gold coins and how many silver coins in the same scale pan?

5.(D) Imagine a 3 * 3 * 3 –inch opaque cube divided into 27

1-inch cubes. Quickly, what is the maximum no. of

1-inch cubes that can be seen by one person from any

Point from space?

5.(E) Find the value of : CXVI + XIII +VI + CCLXV.

5.(F) A line of soldiers is numbered 1,2,3,4, and so on from one end of the line to the other. Those numbered one take three paces forwards, those numbered two take two paces backwards, those numbered three take one pace forwards, and those numbered four take four paces backwards. How many paces will separate the line of one’s from the line of four’s?

5.(G) What is the next letter in this series?

A B D O P Q ?

5.(H) In the city of Xville, the streets which run from north to south are called avenues. While those running from east to west are called roads. The house on the east and north sides of the street are odd numbered. My friend lives at 119, brick road. What direction does his house face?

5.(I) What is the next number in the sequence?

1,2,6,12,60,60,420,840,….

5.(J) I have a chain of 23 paper clips. If I remove 2 of them, then I can make a chain of any length from 1 to 23 out of the five pieces. Which two should I remove?

5.(K) While cleaning out his basement, a man noticed that one corner is quite perfect. All surfaces are flat and meet at 90 degree. He dusts off a perfectly spherical croquet ball and pushes it into the corner. A little later, he comes across a spherical beach ball and pushes it into the same corner. To his surprise, it touches all the three flat surfaces and the other ball. What is the ratio of the diameters of the two balls?

5.(L) How can you measure the internal resistance of a battery? Explain that at least one way that won’t discharge the battery quickly.

5.(M) How many people do you need to have in a group to be 50% sure that at least two of them have the same birthday? Don’t care for birthdays on February 29.

5.(N) Give an anagram to the word “NEW DOOR”.

5.(O) An ardent cyclist makes a long journey, maintaining a even pace throughout. When he reaches a point after covering one fifth of the total distance, the time is 2 minutes past ten. At half way, the time is 10:50. What will be the time when he reaches his destination?

5.(P) Of a certain distance a man has to travel, he walks on one tenth of the way at 3 mph, runs one sixth at 6 mph, cycles one fifth at

12 mph and completes the remaining 16 miles by car at 24 mph. How long does the journey take him?

5.(Q) In this word pyramid, each figure represents a letter, and each row across spells a word. The same figure represent the same letter throughout. Complete the pyramid.

3

3 1

1 5 3

4 3 1 5

6 1 5 3 4

1 2 3 4 5 6

5.(R) Ten books, all of the same size are placed side by side on a book shelf. Each one is 2 inches thick. How far is the front page of the second volume from the last page of the ninth volume?

5.(S) On a Sunny day, a man, 6 feet tall, has his shadow measuring 10 feet. There is a village church, one end of which is a square tower with 30 feet sides on the top of which is perched a steeple. With a view to calculating the height of the steeple, he measures the shadow and finds it is exactly 170 feet from the inner tower wall to the top of the steeple. Can you tell him the height?

5.(T) From a vessel, 1/3rd of the liquid evaporates on the first day. On the second day 3/4th of the remaining liquid evaporates. What fraction of the volume is present at the end of the second day?

5.(U) An orange glass has orange juice and white glass has apple juice both of equal volumes. 50ml of the orange juice is taken and poured into the apple juice. 50ml from the white glass is poured into the orange glass. Of the two quantities, the amount of apple juice in the orange glass and the amount of orange juice in the white glass, which one is greater and by how much?

5.(V) There is a 4 inch cube painted on all sides. This is cut down into of 1-inch cubes. What is the no of cubes, which have no pointed sides?

5.(W) Sam and Mala have a conversation. Sam says I am certainly not over 40. Mala says I am 38 and you are at least 5 years older than I am.

Now Sam says you are at least 39. All the statements by the two are false. How old are they really?

5.(X) In a railway station, there are two trains going. One in the harbor line and one in the main line, each having a frequency of 10 minutes. The main line service starts at 5 o'clock and the harbor line starts at 5.02A.M. A man goes to the station every day to catch the first train that comes. What is the probability of the man catching the first train?

5.(Y) A family X went for a vacation. Unfortunately it rained for 13 days when they were there. But whenever it rained in the mornings, they had clear afternoons and vice versa. In all they enjoyed 11 mornings and 12 afternoons. How many days did they stay there totally?

6.(A) Primal series : Decide what the next five figures in the series should be ?

0110101000101000101000

6.(B) Everyday in his business a merchant had to weigh amounts from

1Kg to 121Kgs, to the nearest Kg. What are the minimum number of

weights required and how heavy they should be ?

6.(C) What are the next two numbers in this series ?

34,58,56,60,42,52,65,? ,?

6.(D) What are the next two numbers in the series ?

1 4 1 5 9 2 ? ?

6.(E) What is the remainder left after dividing by 7

(1!+2!+3!+………………………….100!)

6.(F) At what time between 5 and 6 o’ clock are the hands of clock

coincident ?

6.(G) Find the remainder of (2^n )/n ?

6.(H) One of Mr. Bajaj , his wife , their son and Mr.Bajaj `s mother

is an engineer and another is a doctor.

• If the doctor is a male then the engineer is a male.

• If the engineer is younger than the doctor , then the engineer

and the doctor are not blood relatives .

• If the engineer is female then she and the doctor are blood

relatives.

Can you tell who is the doctor and the engineer .

6.(I) Mani only tells truth in the morning and only lies in the

afternoon . Mohan only lies in the morning and only tells

truth in the afternoon.A says that B is Mani. Tell if it is morning or afternoon and who is A- Mani or Mohan.

6.(J) I bought a car with a peculiar 5 digit numbered license plate

which on reversing could still be read . On reversing values

increased by 78633. What is the original number if all the digits are different?

6.(K) How can 1,000,000,000 be written as a product of two factors

not containing zeros?

6.(L) An enemy agent wanted to create panic in the town of Zadun

and decided to do it by spreading a rumour. “The town`s water supply has been poisoned!”he shouted of 2 labourers,and sped away on his motorcycle.The 2 men rushed away to warn their friends.It was exactly 6a.m. Later it was found that every man who heard the rumour, beginning with the 2 labourers,informed two other people every 15 minutes.By 8.45 that same morning, there were only 999 people in Zadun who had not heard the rumour.From this data, can you calculate the total poplution of the town.

6.(M) Said the moon to the sun, “Is the daylight begun?”

Said the sun to the moon, “Not a minute too soon.”

“You are a Full Moon,”said he. She replied with a frown, “well,I never did see so rude a clown!”Why was the moon so angry?

6.(N) The king of an impoverished kingdom decided to get rid of his odd advisors to save money.Some of these advisors were totally blind,some were blind in only one eye and the rest were sighted.But the king had to be guided by tradition which required that king’s advisors include a minimum of 7 men in blind in both eyes; 10 unable to see with one eye; 5 who could see with both eyes; 9 who could see with one eye.The king wanted to keep the minimum number of advisors without breaking tradition.How many men did he keep?

6.(O) A crocodile snatched a baby from its mother on the banks of the nile.The mother begged the crocodile the return the baby to her.The crocodile said he would return the baby if the mother could correctly guess what he intended to do with it-devour it or leave it ashore.

“if you are wrong,I will devour it”,warned the crocodile.

“You intend to devour my child”,said the mother.

“Now I cannot return you baby to you”,said the crocodile, “because if I do, you will be proved wrong.And did I not say I would devour the baby if you guessed wrong?”

What did the mother say next?She managed to save the baby.

6.(P) A spy in ancient rome managed to escape from his cell in the dungeon and was looking for a way out of it when he came across three iron doors.he looked up and saw a guard peering at him from a grating.“so,you

have got out”, sneered the guard. “well here is your chance to escape .All three doors lead to freedom but you have to open the right one or you are done for.On the other side of the first door there is a bottomless pit.You have to walk along a narrow path to get to the other side .unfortunately the path has a tendency to collapse under a person’s weight.the second door conceals They will cut you to pieces,but sometimes they are asleep.The thirddoor will bring you to the midst of a pride of lions.They have not eaten for a year.Choose your door but once you have chosen,you have to go through it.now go!”.

Which of the doors would be safest for the spy to escape?

6.(Q) There are two lengths of rope.Each one can burn in exactly one hour.They are not necessarily of the same length or width as each other.They also are not of uniform width (may be wider in middle than on the end), thus burning half of the rope is not necessarily 1/2 hour.By burning the ropes, how do you measure exactly 45 minutes worth of time?

6.(R) How many times do the hands of a clock coincide a day?

6.(S) How many times do the hands of a clock at right angles in

a day?

6.(T) Using four 3’s & arithmetic operations write no.s from 0-9.

6.(U) Use 15 matchsticks to form 8 complete squares all of same size.

No matchsticks are overlapped or broken & no square may be

formed inside.

6.(V) Drop a coin and small piece of paper at a same time from a height of 4 feet and have paper drop with same speed as the coin?

6.(W) One day,Billy went to town and came home with large money.

Billy was paid by cheque every Thursday .Banks were open

on Tuesdays, Fridays and Saturdays. The barber was always closed on Saturday. The lodge was not open on Thursday or

Friday. Using the above facts determine on which day he went to the town?

6.(X) There were 2 grandfathers, 2 grandmothers, 3 fathers, 3 mothers

3 sons, 3 daughters, 2 mothers-in-law, 2 fathers-in-law, 1 son-in-law, 1 daughter-in-law, 2 brothers and 2 sisters. Find the total

family members?

6.(Y) If 10 men can reap a field in 8 days, then 8 men can reap the field

in ?

7.(A) Take the letters ERGRO. Put three letters in front of it, and the same three letters behind to form a common English word.

7.(B) What number gives the same result when it is added to 1.5 as when it is multiplied by 1.5?

7.(C) What do the words below have in common?

ADAM CLAIM GALL BUOY FOND RAMP

7.(D) Which of the following words is the odd-one-out?

IBIS IBEX ORYX SIKA ZEBU

7.(E) Which of these numbers is the odd-one-out?

43 26 50 37 17 82

7.(F) Rearrange the letters of the following phrase to give the name of a U.S. state: VIEWING A STIR

7.(G) Here is a quotation with all the spaces and vowels removed. What is the quotation?

MNCNNTBTCRFLNTHCHCFHSNMS

7.(H)The following number has a rather special characteristic. What makes it unique?

8 549 176 320

7.(I) Here are the names of four flowers with the vowels removed. What are the four flowers?

GRNM GRDN CLMBN CLNDN

7.(J) What do the following words have in common?

HOUSE SHANK WOOD FLY HORN

7.(K) What is the next number in this series?

5 25 61 113 181 ...

7.(L) Rearrange the following letters to give the name of a famous singer.

WESTERN VIDEO

7.(M) What do the following words have in common?

9 FAST THROUGH DOWN AWAY WATER NECK

7.(N) Arrange the following words into suitable pairs.

MAN HERO HIGH RAIN

MOON NOON LOCAL PAPER

7.(O) Rearrange the following letters to give the title of a popular song.

ECHO IN MUDDY LANE

7.(P) What do the following words have in common?

WORK HOBBY WAR SEA RACE

7.(Q) What do the following names have in common?

Donald Arnold Nevada Tiberius Tweedledum

7.(R)Peter picked one pepper more than Paul. Pat picked one pepper more than Pam. Peter and Paul picked 10 more peppers than Pat and Pam. Peter, Paul, Pat and Pam picked 60 peppers. How many peppers did Peter pick?

7.(S) Supply the missing vowels to give six 6-letter names of countries.

BLZ CND KWT MLW MXC PNM

7.(T) Rearrange the following letters in three different ways to give three different 8-letter words.

A A E L N P R T

7.(U) What three letters can be placed in front of each of these words to form a new word?

Sport Sword Sage Sable Time

7.(V) A man died, leaving $10,000,000 for his widow, 5 sons and 4 daughters. Each daughter received an equal amount, each son received twice as much as a daughter, and the widow received three times as much as a son. How much did the widow receive?

7.(W) If this sum is correct, what digits do A and M represent?

MA + A = AM

7.(X) Rearrange the following letters to give two different 9-letter words.

A C C E H I M N S

7.(Y) There was an old woman who lived in a shoe, and the only food she had for her ten children was six potatoes. How did she make sure that each child had an equal share?

8.(A) If solving word puzzles if one of the things at which you are proficient, see if you can think of a 9-letter word that contains only one vowel.

8.(B) What do the following words have in common?

PIG PONY BOB

DOVE SWALLOW COTTON

8.(C) A certain number consists of two digits. The number is equal to five times the sum of its digits. If you add 9 to the number, the order of its digits is reversed. What is the number?

8.(D) Rearrange the following letters to give the name of a popular movie:

IF TUNES DO SO MUCH

8.(E) Complete these words by inserting the same three letters in each one.

ANA___Y CO___NE PRO___UE S___AN

8.(F) Rearrange the letters of the following phrase to give the title of a 1975 movie.

EIGHTEEN ACTORS IN

8.(G) There is a logical pattern to the following series of numbers. What are the next three numbers in the series?

15 21 25 27 33 35 39 ?

8.(H) What do the following words have in common?

BEAGLE BROOK STEAL SCOOT STERN

8.(I) Here are the names of four modern playwrights with vowels, spaces and punctuation removed. Who are they?

HRLDPNTR NLSMN GNNLL JRTN

8.(J) Rearrange the following letters to give two different 11-letter words.

ACDEEINORST

8.(K) Replace the asterisks by the correct mathematical signs to make the expression equal to 99.

16 * 12 * 2 * 3 = 99

8.(L) What do the following words have in common?

TO BACK OFF SQUARE SAIL

8.(M) Complete these words by inserting the same three letters in each.

TE---ER S---ET EAR---E

8.(N) Rearrange the following letters to give the title of a 1979 movie.

OWN COSY APPEAL

8.(O) How much more available capacity is there is in twenty four-gallon cans that are half full than in twenty-four gallon cans that are half empty?

8.(P) What do the following words have in common?

MASTER PIECE BAND LAND STAND

8.(Q) Complete these words by inserting the same three letters in each.

M---EW M---ER EV---OER

8.(R) Rearrange each of these girl’s names to give a boy’s name.

DOLLY DIANA IRENE LYNNE

8.(S) What should the tenth number in this series be?

3, 3, 5, 4, 4, 3, 5, 5, 4, ?

8.(T) A man, when asked by his niece how old he was, replied, “My age is now four times yours, but five years ago it was five times yours.” How old was he?

8.(U) Complete these words by inserting the same three letters in each.

A---BIC CON---N VI---OY

8.(V) What do the following words have in common?

BACK BREAK DISH RAIN UNDER

8.(W) Rearrange these letters to form five different 8-letter words:

A E G I L N R T

8.(X) What do the following words have in common?

STURDY THIRSTY CALMNESS

DEFORMED INOPERATIVE

8.(Y) I have five letters and five addressed envelopes. If I place the letters in the envelopes at random, what are the chances that only four letters are in their correct envelopes?

10.(A) It is estimated that the width of the human hair is 3/1000 inch. About how many hairs placed side by side would measure an inch?

10.(B) A three digit number consists of 9,5 and one more number. When these digits are reversed and then subtracted from the original number the answer yielded will be consisting of the same digits arranged yet in a different order. What is the other digit?

10.(C) What are the three integers in arithmetic sequence whose product is prime?

10.(D) A team has nine players. How many possible batting orders are there?

10.(E) How many edges has a hexagonal pencil?

10.(F) What is the geometric shape associated with an open pantograph?

10.(G) A regular chess board has 8/8 squares. How many individual rectangles can you identify?

10.(H) A ship was sailing. The tide was rising at the rate of 16 inches per hour. Four rungs were ready below the water. Each rung was 1 ½ inches thick and there was a gap of eight inches between rungs. After 5 ½ hours later how many rungs of the ladder would have been submerged?

10.(I) The yatch club recently held a boat race. The captain had some difficulty deciding the order of rowing in the boat for his crew. Three of his crew were strokeside oarsmen only and two of them were bowside oarsmen only. Weights and personal references were not important really. In how many ways the captain would have arranged his eight men to form the crew?

10.(J) Supposing you had 5 billion rupees and you gave away a Rs.500 note every minute, how long would it take you to give away all your money?

10.(K) ‘To disrupt a play room is commonly a practice of children’ and

‘It enables a num skull to memorize quality of numerals!’

These two pieces of pneumonic signify a certain mathematical term to 9 places of decimals. What is the term?

10.(L) In Great Britain some years back the first three letters of a telephone number used to indicate the name of the exchange. How many such arrangements of three letters is possible to devise from the 26 letters of the alphabet?

10.(M) What are the next three terms to the series:

1+3+7+15+31+63+…

10.(N) What are the next two terms of the sequence?

1,1,5,17,61,217,…

10.(O) I love to mix drinks. When I have one glass orangeade and one glass lemonade each glass contains the same amount.

I take two ounces full of the orangeade and mix it with the lemonade and then I take two ounces full of this mixture and put it back in the orangeade. What do you think of the resulting mixture? Do you think there is more orangeade in the lemonade or more lemonade in the orangeade?

10.(P) Two creepers, one jasmine and the other rose, are both climbing up and round a cylindrical tree trunk. The jasmine twists clockwise and the rose anticlockwise and they both start at the same point on the ground. Before they reach the first branch on the tree the jasmine had made 5 complete twists and the rose 3 twists. Not counting the bottom and the top how many times do they cross?

10.(Q) Sound is said to travel in air at about 1100 feet per second. A man hears an axe strike the tree 11/5 seconds after he sees it strike the tree. How far would you say the man is from the wood chopper?

10.(R) A farmer has 6 baskets full of chicken and duck eggs. Basket A has 29 eggs and basket B has 14 eggs, basket C has 23 eggs, basket D has 6 eggs, basket E has 5 eggs and basket F has 12 eggs. The farmer points to a particular basket and says, ‘If I sell all the eggs in this basket, I shall have twice as many chicken eggs left as duck eggs’. Which was the basket he was pointing at?

10.(S) A chess board has 64 squares. In how many different positions can you arrange two draughts on the board?

10.(T) A goldsmith was given a chain to be repaired. The chain was torn into 5 equal sections of 3 links each. The goldsmith began to wonder how many links he would have to open up and the solder. After some thinking he decided that it would be 4. What do you think? Could he have done this job with opening up a fewer links and then soldered?

10.(U) A heavy safe is to be moved. Two cylindrical steel bars of diameter 7cms are used as rollers. When the rollers have made one revolution, how far will the safe have moved forward?

10.(V) Rajiv , Sanjiv and Vijay were playing a game of billiards. Rajiv can give sanjiv 10 points in 50, and sanjiv can give Vijay 10 points in 50. How many points in 50 must Rajiv give Sanjiv to make an even game?

10.(W) Can you name the greatest and the least of the following:

log(2+4), (log2+log4), log(6-3) and (log6-log3)

10.(X) If you wished to plant some trees so that each was equidistant from every other tree, what is the largest number you could plant?

10.(Y) Rajiv , Sanjiv and vijay join a running race. The distance is 1500 metres. Rajiv beats Sanjiv by 30 metres

and Vijay by 100 metres. By how much could Sanjiv beat Vijay over the full distance if they both ran as before?

13.(A) Tell a number which is three times the sum of its digits. Find the number.

13.(B) Make 2 squares , 4 right angled triangles using only 8 straight lines.

13.(C) Can you place 10 coins in such a way that they lie in 5 straight lines and on each line there are 4 coins?

13.(D) Can you bring 31 using only the number 3, five times?

13.(E) There are two whole numbers whose difference of their squares is a cube and the difference of their cubes is square . These are the smallest possible numbers. Find the numbers.

13.(F) Which is the only number other than 0 and 1 whose square root is equal to the sum of its digits?

13.(G) There are 10 biscuits packets each having 10 biscuits .each biscuit weighs 10 grams . By manufacturing defect , one biscuit packet contains biscuits each weighing 11 grams. You are provided with a digital weighing machine. By weighing in it only once ,you should detect the bag. HOW?

13.(H) One-Fourth of One-third of Two-Fifth of a number is 15. what is the 40% of the number?

13.(I) A trader allows two successive discounts of 20% and 10% . If he sells an article for Rs.108 , then the marked price of the article is?

13.(J) If a commission of 10% is given on the written price of an article, then the gain is 20%. If the commission is increased to 20%, then the gain is?

13.(K) A person bought an article and sold it at a loss of 10%. If

He had bought it for 20% less and sold it for Rs.55 more, he would have had a profit of 40% . The C.P. of the article is ?

13.(L) A bought a radio set and spent Rs. 110 on its repairs. He then

sold it to B at 20% profit, B sold it to C at a loss of 10% and C sold it for Rs.1188 at a profit of 10%. What is the amount for which A bought the radio set?

13.(M) Gokul purchased 120 reams of paper at Rs.80 per ream . He spent rupees 280 on transportation, paid octroi at a rate of 40 paise per ream and paid Rs.72 to the coolie. If he wants to have a gain of 8% . What must be the selling price per ream?

13.(N) Arjun bought 15 kg of Dhal at rate of Rs.14.5 per kg and 10kg at rate of Rs.13 per kg . He mixed the two and sold at the rate of Rs. 15 per kg. What was his total gain in his transaction?

13.(O) A producer of tea blends two varieties of tea from two tea gardens ,one costing Rs.18 per kg and another Rs.20 per kg in the ratio of 5:3. If he sells the blended variety of Rs.21 per kg, then the gain percent is?

13.(P) A horse and a cow were sold for Rs.12000 each. The horse was sold at a loss of 20% and the cow at a gain of 20%. The entire

transaction will result in?

13.(Q) A certain number of men can finish a piece of work in 100 days. If however, there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?

13.(R) If it takes 10 days to dig a trench 100m long ,50m broad and

10m deep. What length of trench 25m broad and 15m deep can be dug in 30 days?

13.(S) If 9 examiners can examine a certain number of answer books in 12 days by working 5 hours a day; for how many hours a day would four examiners have to work in order to examine twice the number of answer books in 30 days?

13.(T) If x men working x hours per day can do x units of a work in x days, then y men working y hours per day would be able to complete how many units of work in y days.

13.(U) In a certain shop, 9 oranges cost as much as 5 apples , 5 apples cost as much as 9 lemons. If 3 lemons cost 48 paisa, the price of orange is?

13.(V) Two trains each of 120m in length, run in opposite directions with a velocity of 40 m/s and 20 m/s. How long will it take for the tail end of two trains to meet each other during the course of travel?

13.(W) A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the beginning and 100 more after 35 days and completes the work in the stipulated time. If he had not engaged the additional men, how many days behind schedule would it be finished?

13.(X) The difference between the compound interests on Rs.1600 for one year at 20% per annum, when compounded half yearly and quarterly is ?

13.(Y) The difference between compound interest and simple interest on a sum for 2 years at 10% per annum, when the interest is compounded annually is Rs.16. If the interest is compounded Half-yearly,the difference in interest would be?

15.(A) A train overtakes two persons who are walking in the same direction in which the train is going at the rate of

2 km/hr. and 4 km/hr. and passes them completely in 9 and 10 seconds respectively. What is the length of the train?

15.(B) A man can row 40 km upstream and 55 km downstream in 13 hours. Also he can row 30 km upstream and 44 km downstream in 10 hours. Find the speed of the man in the still water and the speed of the water current?

15.(C) It was Mammy’s birthday and I decided to buy for her some sweets. There was an old woman in the candy shop. I noticed something very strange, while she was weighing out the sweets. She had just six weights and a balance scale. With these she was able to weigh any unit number of ounces of candy from 1 to 364. Can you say what the six weights were?

15.(D) You have a brick of regular size. It weighs 4 kg. How much do you think a similar brick, 4 times smaller but made of the same material weigh?

15.(E) If you were to count one number per second and counted 7 hours per day, how long would it take to count a billion?

15.(F) A man is walking at a speed of 4km/h crosses a square field in 3 minutes. What is the area of the field?

15.(G) A woman is seated and is writing. There is a thunderstorm outside and she dies as a consequence. How did she die?

15.(H) A married couple was speeding into town when their sedan ran out of gas. The man went for help after making sure his wife closed the windows and locked the doors of the car. Upon his return, he found his wife dead and a stranger in the car. The windows were still closed, the doors were still locked, and no damage was done to the car. How did the woman die, and what was the stranger doing?

15.(I) In a mixture, R is 2 parts, S is 1 part. In order to make S to 25%of the mixture, how much R is to be added?

15.(J) Find out the five digit number whose first digit is three times that of it's fifth digit, the fourth digit is four more than the second digit, the third digit is three less than the second digit, and there are 3 pairs of digits such that each sum is 11?

15.(K) There are 5 burglars and once went to a bakery to rob it. Obviously the first guy ate 1/2 of the total bread and 1/2 of the bread. The second guy ate 1/2 of the remaining and 1/2 of the bread. The third guy, fourth guy and fifth guy did the same. After fifth guy there is no bread left out. How many bread are there?

15.(L)The main line train starts at 5.00AM and the harbor line train starts at 5.02AM.Each train has the frequency of 10 minutes. If a guy goes in the morning at a random time, what is the probability of he getting main line train?

15.(M)A farmer has C chickens. A sack of feed comes for 9 days. As the feed cost is increasing the farmer sells some chickens and retains 12 chicken. If he reduces the feed quantity by 10%, then he observes that the feed comes for 30 days. What is C?

15.(N)A person walking takes 26 steps to come down on a escalator and it takes 30 seconds for him for walking. The same person while running takes 18 second and 34 steps. How many steps are there in the escalator?

15.(O) A boy multiplied a number with 10 and got 100,instead of dividing it . If he divided it what would be the answer?

15.(P) The average salary of three employee is Rs.95 per week.

If one employee earns 115 and other earns 65 rupees, how much will third be earned?

15.(Q) During a given week a programmer spend 1/4 of his time preparing charts, 3/8 of his time for coding, rest of his time, for debugging the programs. If he had 48 hrs during the week, how many hours did he spend debugging the program?

15.(R) A 16 storey building has 12000ft on each floor. Company A rents 7 floors and company B rents 4 floors. What is the number of square feet of unrented floor space?

15.(S) A computer printer produces 176400 lines in a given day. If the printer was in operation for 7hrs during the day how many lines did it print per minute?

15.(T)12 children take 16 days to complete a work which can be completed by 8 adults in 12 days. 16 adults started the work and after 3 days 10 adults left and 4 children joined them. How many days will it take them to complete the remaining work?

15.(U) 45 men can complete a work in 16 days. After 6 days of commencement of work with 45 men, 30 more men joined them. How many days will it take to complete the remaining work?

15.(V) Calculate the Hall voltage produced across the specimen for a magnetic field of flux density 0.05 wb/m^2 and a current of 0.4 mA, the specimen thickness is 0.8 mm and Hall coefficient is –0.089 m^3/C.

15.(W) A and B undertake a piece of work for Rs. 600. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C they finish within 3 days. Find the share of each?

15.(X) Two pipes can fill a cistern in 14 hours and 16 hours respectively. The pipes are opened simultaneously and it is found that due to the leakage in the bottom, 32 minutes more time is taken for the cistern to be filled up. When the cistern is full, in what time will the leak empty it?

15.(Y) A car travels a distance of 715 km. at a uniform speed. If the speed of the car is 10 km/hr. more, it takes 2 hours less to cover the same distance. What is the original speed?

16(A) A snail can move ‘I’ inches in ‘m’ minutes.At this rate,how many feet can it move in ‘h’ hours?

16(B) What is the smallest number which when divided by10 leaves a remainder of 9,which when divided by 9 leaves a remainder of 8 and so on?

16(C) What is the units digit of the result 1to the power 89 into 6 to the power 89?

16(D) Complete the sequence:

0,2,24,252,?

16(E) Find the next number.

6,24,60,120,210,336.

16(F) What is the one digit that you should add to the left and right of 1000000 to make it divisible by 36?

16(G) Two men starting at the same point ,walk in opposite directions for 3 metres,turn left and walk for another 2 metres.Now they turn 45 degrees to their right and they walk for sqrt (2) metres.What is the distance between them?

16(H) “I was n years old in the year ( n square )”,said Smith in 1971.When was he born?

16(I) Asha borrowed 100 wine glasses from me for a party sent them through Harish.I offered him 3 paise for every glass if delivered safely and threatened to forfeit 9 paise for every glass he broke. He received Rs.2.4 from me. How many glasses did he break?

16(J) A boy paid for the book 60 Rupees plus 1/5 of it’s cost when the book was available at 20% discount.How much money did he pay for the book?

16(K)What is the temperature that corresponds to the same reading on both the centigrade and Fahrenheit scales?

16(L) What is the next pair of numbers in the given series? 2,4,36,48,150,180.

16(M) In a survey conducted in a hostel,it was found that 65% of the students watch sports channels,40% watch news channels,35% watch Doordarshan and 25% of the students watch all the 3 channels.But the number of people watching any 2 channels only was zero.What percent of the students do not watch any channel?

16(N) Obtain 24 using 2 zeroes.

16(O) A clock strikes '6' in 5 seconds. How long does it take to strike '12'?

16(P) There are four man standing in front of a firing-squad. Two of them (nr.1 & 3) wear a black hat and two of them (nr.2 & 4) wear a white hat. They are all facing the same direction and between nr.3 and nr.4 stands a brick wall (see picture). So nr.1 can see nr.2 & 3, nr.2 sees nr.3, nr.3 sees only the wall and nr.4 doesn't see a thing. The men know that there are two white and two black hats.

The commander of the firing-squad is willing to let the men go if one of them can say what color hat he is wearing. The men are not allowed to talk. The only thing they may say is "I'm wearing a white/black hat". If one of the men knows which hat he is wearing he must tell it and all men will be free.

Which man knows 100% sure what color hat he's wearing?

=>

I I I | I

1 2 3 4

16(Q) A farmer is standing on one side of the river and with him are a wolf, a goat and a box with cabbages. In the river there is a small boat. The farmer wants to cross the river with all the three items who are with him. There are no bridges and in the boat there is only room for the farmer and one item. But if he leaves the goat with the cabbages alone on one side of the river the goat will eat the cabbages. If he leaves the wolf and the goat on one side the wolf will eat the goat. Only the farmer can seperate the wolf from the goat and the goat from the cabbage.

16(R) How can the farmer cross the river with all three items, without one eating the other ?

You are lost in a forest. The forest is between two villages. In village A live only liars, they always lie. In village B people always tell the truth. You want to go to village B. Then you see a man from village A or B. You can ask him only one question.

Which question will you ask him to know for sure where village B is ?

16(S) A butcher goes to the market with $100 cash. He has to buy exactly 100 animals. There are cows, geese and chicken for sale. A cow costs $15, a goose is $1 and a chicken costs $0.25. He has to buy at least one of each animal and has to spend all his money.

What does the butcher buy?

16(T) A fool wants to tie a rope around the earth. So he buys a rope of 40,000 KM and ties it around the world. His neighbour, also a fool, wants to do the same only he wants the rope on sticks 1 meter above the ground.

How much more rope does he need?

And how much more rope do you need when you use a tennis ball instead of the earth?

16(U) A mother is four times as old as her daughter. In 20 years she will be twice as old as her daughter.

How old are mother and daughter now?

16(V) Achmed and Ali are camel-drivers and on one day they decided to quit their job. They wanted to become shepherds. So they went to the market and sold all their camels. The amount of money(dinars) they received for each camel is the same as the total of camels they owned. For that money they bought as many sheep as possible at 10 dinars a sheep. For the money that was left they bought a goat.

On their way home they got in a fight and decided to split up. When they divided the sheep there was one sheep left. So Ali said to Achmed "I take the last sheep and you can get the goat". "That's not fair" said Achmed, "a goat costs lesser than a sheep". "Ok", Ali said "then I will give you one of my dogs and then we are even". And Achmed agreed.

What costs a dog?

16(W) With a field of five for the west wessex marathon race, there was little to interest the bettors. So, Peter Piper opened one of his ingeneous books where he accepts multiple bets at high odds. To place a multiple bet, you must bet on two propositions, and you will win only if you are wholly successful. Peter Piper is now on an extended vacation because of the bettors who lost these bets:

1) A will not win the gold, nor B the silver.

2) C will win a medal, and D will not.

3) D and E will both win medals.

4) D will not win the silver, nor E the bronze.

5) A will win a medal, and C will not

Who won which of the medals?

16(X) U2 has a concert that starts in 17 minutes and they must all cross a bridge to get there. All four men begin on the same side of the bridge. You must help them across to the other side. It is night. There is one flashlight. A maximum of two people can cross at one time. Any party who crosses, either 1 or 2 people, must have the flashlight with them. The flashlight must be walked back and forth, it cannot be thrown, etc. Each band member walks at a different speed. A pair must walk together at the rate of the slower man's pace:

Bono:- 1 minute to cross

Edge:- 2 minutes to cross

Adam:- 5 minutes to cross

Larry:- 10 minutes to cross

For example: if Bono and Larry walk across first, 10 minutes have elapsed when they get to the other side of the bridge. If Larry then returns with the flashlight, a total of 20 minutes have passed and you have failed the mission.

Can you get them across in 17 minutes?

16(Y) You have fifty bags, each with approximately one hundred balls inside. You have a weighing machine with a digital readout, with 3 places of decimals on the display, calibrated in grams, it is capable of weighing an infinite amount (but it won't have to).

All of the balls in all of the bags weigh 1 gram, except in one bag in which all of the balls weigh 1.001 grams.

You cannot tell by look or feel which bag has the heavier balls.

How do you determine which bag contains the heavier balls? You can use the weighing machine only once (which means you can obtain only one reading from it before it self destructs).

19.(A) A boat covers 24 km upstream and 36 km downstream in 6 hours. While it covers 36 km upstream and 24 km downstream in six and half-hours. Find the velocity of water current?

19.(B) The difference in compound interest and simple interest on a certain amount at 10% per annum at the end of three years is Rs. 620. What is the principal amount?

19.(C) A sum of money placed at compound interest doubles itself in 5 years. How long will it take to increase itself by 8 times?

19.(D) A room is half as long again as its broad. The cost of carpeting the room at Rs.5 per sq.m is Rs.270 and the cost of papering the four walls at Rs.10 per sq.m is Rs.1720. If a door and two windows occupy 8 sq.m. Find the dimensions of the room?

19.(E) The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of the correct time. How much a day, does the clock gain or lose?

19.(F) Find the income derived from 88 shares of Rs.25 each at 5 premium, brokerage being ¼ per share and the rate of dividend being seven and half percent per annum. Also find the rate of interest on the investment?

19.(G) An enemy agent wanted to create a panic in a town and decided to do it by spreading a rumour. “The town’s water supply has been poisoned!” he shouted to two labourers, and sped away on his motor cycle. The two men rushed away to warn their friends. It was exactly 6 a.m. Later it was found that every man who heard the rumour, beginning with the two labourers, informed two other people every 15 minutes. By 8:45 that same morning, there were only 999 people in the town who had not heard the rumour. From this data, can you calculate the total population of the town?

19.(H) Change the first word into second in the following sets

SICK to WELL in 4 moves

BIRD to NEST in 5 moves

PIG to STY in 5 moves

MINE to COAL in 6 moves

CITY to FARM in 6 moves

Change one letter at a time and each move should produce a new word.

19.(I) What comes next in the following series of numbers

1 4 3 ?

19.(J) How many different triangles can you find in this figure ?

19.(K) In a 1-mile horse race horse A made the run 2.5 times faster than horse B and beat it by 6 mins. How long did each horse take to complete race?

19.(L) There is a square piece of cloth of any size. Cut into several pieces to form smaller squares. U can make only 2 straight cut across the cloth .Finally 1 of these squares is to be formed by sewing 2 of pieces together along 1 edge of material .

19.(M) Decipher the following coded messages discussed by two secret agents

A: Captain BBBB arrived in the DWDEDSDTD today with his CCCC.

B: Captain BBBB mission a bust .NAR EH HE RAN across the island, like EDalienEN, finding 023456789.

19.(N) Calvin, Wylie, Emmet and Quentin went fishing. Altogether they caught 10 fish.

1. Calvin more than Quentin

2. Wylie and Emmet gave her as many fish as Calvin and Quentin.

3. Calvin and Wylie had fewer fish than Emmet and Quentin .

How many fish did each catch?

19.(O) A man sent this message to his book maker after paying up his racing debts . Decode it

FRIENDS SIR, FRIENDS,

STAND YOUR DISPOSITION;

I BEARING A MAN THE WORLD IS

CONTEMPT, WHILST THE

RIDICULE.

ARE

AMBITIOUS

YOUR OBEDIENT SERVANT,

ANNAN.

19.(P) After folding a sheet of paper in half twice along the dotted lines indicated in the figure, it gives 4 thicknesses .

How many pieces of paper will u get when u cut this packet in half ? U must cut it down the center along line parallel to a folded edge.

19.(Q) Find out the maximum number of knights that u can place on the chess board without any 2 being able to attack one another .

19.(R) Rearrange the 4 figures in the math problem so that they equal 100 . U can add + or - signs if u wish.

19.(S) ”One-third of twelve if u divide,

By one- fifth of seven,

The true result (it has been tried )

Exactly is eleven?”

Justify this.

19.(T) With a simple balance scale and 4 different iron weights ,if u can weigh any weight from 1kg to 40 kg , determine the weight of each of 4 iron weights and demonstrate how to use them .

19.(U) How will u boil a fifteen – minute egg , if you had only two sand timers, one that ran for 11 minutes and another that ran for 7 minutes, to time it with?

19.(V) Use four 4s with arithmetic symbols to form 55.

19.(W) Prove that adding 2 to 191 will give you a number less than 20.

19.(X) There are four cards face-down. They contain all four suits and the values ace, king, queen and jack. There are five clues:

1. The ace is to the right of the spade.

2. The diamond is to the left of the queen.

3. The club is to the right of the queen.

4. The heart is to the left of the jack.

5. The spade is to the right of the jack.

Discover the values of the face down cards.

19.(Y) Use the digits 1, 9, 9, 5 in the given order along with arithmetic signs and square root to form math expressions equal to 1 through 10.

25.(A) What 6 digit number, with 6 different digits, when multiplied by all integers up to 6, circulates its digits through all 6 possible

positions, as follows:

ABCDEF * 1 = ABCDEF

ABCDEF * 3 = BCDEFA

ABCDEF * 2 = CDEFAB

ABCDEF * 6 = DEFABC

ABCDEF * 4 = EFABCD

ABCDEF * 5 = FABCDE

25.(B) 2 is prime, but 12, 22, ..., 92 are not. Similarly, 5 is prime whereas 15, 25, ..., 95 are not. What is the next prime number which is composite when any digit is prefixed?

25.(C ) Is there an integer that has its digits reversed after dividing it by 2?

25.(D) Is it possible to make a number and its square, using the digits from 1 through 9 exactly once?

25.(E) In the middle of a round pool lies a beautiful water-lily. The water-lily doubles in size every day. After exactly 20 days the complete pool will be covered by the lily.

The Question: After how many days will half of the pool be covered by the water-lily?

25.(F) A swimmer jumps from a bridge over a canal and swims 1 kilometer stream up. After that first kilometer, he passes a floating cork. He continues swimming for half an hour and then turns around and swims back to the bridge. The swimmer and the cork arrive at the bridge at the same time. The swimmer has been swimming with constant speed.

The Question: How fast does the water in the canal flow?

25.(G) You are standing next to a well, and you have two jugs. One jug has a content of 3 liters and the other one has a content of 5 liters.

The Question: How can you get just 4 liters of water using only these two jugs?

25.(H) A cable, 16 meters in length, hangs between two pillars that are both 15 meters high. The ends of the cable are attached to the tops of the pillars. At its lowest point, the cable hangs 7 meters above the ground.

The Question: How far are the two pillars apart?

25(I) Four men want to cross a bridge. They all begin on the same side. It is night, and they have only one flashlight with them. At most two men can cross the bridge at a time, and any party who crosses, either one or two people, must have the flashlight with them.

The flashlight must be walked back and forth: it cannot be thrown, etc. Each man walks at a different speed. A pair must walk together at the speed of the slower man. Man 1 needs 1 minute to cross the bridge, man 2 needs 2 minutes, man 3 needs 5 minutes, and man 4 needs 10 minutes. For example, if man 1 and man 3 walk across together, they need 5 minutes.

The Question: How can all four men cross the bridge in 17 minutes?

25(J) Three people check into a hotel. They pay $30 to the manager and go to their room. The manager finds out that the room rate is $25 and gives $5 to the bellboy to return. On the way to the room the bellboy reasons that $5 would be difficult to share among three people so he pockets $2 and gives $1 to each person. Now each person paid $10 and got back $1. So they paid $9 each, totalling $27. The bellboy has $2, totalling $29. Where is the remaining dollar?

25(K) A bookworm eats from the first page of an encyclopedia to the last page. The bookworm eats in a straight line. The encyclopedia consists of ten 1000-page volumes and is sitting on a bookshelf in the usual order. Not counting covers, title pages, etc., how many pages does the bookworm eat through?

25(L) How many flowers do I have if all of them are roses except two, all of them are tulips except two, and all of them are daisies except two?

25(M) Two fifty foot ropes are suspended from a forty foot ceiling, about twenty feet apart. Armed with only a knife, how much of the rope can you steal?

25(N) Cathy has six pairs of black gloves and six pairs of brown gloves in her drawer. In complete darkness, how many gloves must she take from the drawer in order to be sure to get a pair that match? Think carefully!!

25(O) Mom, Dad, and 2 kids have come to a river, and they find a boat. It is small and can only carry one adult or 2 kids at a time. Both kids are good rowers, but how can the whole family reach the other side of the river?

25(P) Why can't you take a picture of a Indian woman with hair curlers?

25(Q) What is the largest possible number you can write using only 2 digits?

25(R) Before Mt. Everest was discovered, what was the tallest mountain in the world?

25(S) Because cigars cannot be entirely smoked, a hobo who collects cigar butts can make a cigar to smoke out of every 5 butts that he finds. Today, he has collected 25 cigar butts. How many cigars will he be able to smoke?

25(T) Jenn is facetious. She is also abstemious. She gets pneumonia. Given those clues, what is the only American tree she will like?

25(U) How many birth days does the average man have?

25(V) Someone at a party introduces you to your mother's only sister's husband's sister in law. He has no brothers. What do you call this lady?

25(W) Which weighs more, a pound of feathers or a pound of silver?

25(X) Two planes take off at the same exact moment. They are flying across the Atlantic. One leaves New York and is flying to Paris at 500 miles per hour. The other leaves Paris and is flying to New York at only 450 miles per hour ( because of a strong head wind ). Which one will be closer to Paris when they meet?

25(Y) A carpenter was in a terrible hurry. He had to work as quickly as possible to cut a very heavy 10 foot plank into 10 equal sections. If it takes 1 minute per cut, how long will it take him to get the 10 equal pieces?

30.(A) Complete the word inside the brackets that means the same as the words outside the brackets.

BEAR (B____) STREAM

30.(B) Rearrange these letters to give the title of a 1970 movie:

BILL MET GIANT

30.(C) What time is it when the number of minutes since midnight is nine times the number of minutes before noon?

30.(D) Complete these words by inserting the same three letters in each.

EL---SE HE---AD

CA---H S---PER

30.(E)What do the following words have in common?

FALL FLOWER PIPE

LASS SHIELD SOCK

30.(F) Rearrange these letters to give the title of a classic 19th century novel:

EXOTIC AGE PATTERNS

30.(G) What do these words have in common?

HOLSTER BACHELOR BLISSFUL RAVELING

30.(H) In a game of chess, how many different choices do you have for your first move?

30.(I) Complete these words by inserting the same three letters in each.

RH---ME HOR---N SCH---ID

30.(J) Rearrange these letters to give the title of a 1987 movie:

MEREST PLETHORA

30.(K) What do these words have in common?

ELBOWS BALANCED GRIMACES

SHAKESPEARE CROSSWORDS

30.(L) Seven men arrive at a meeting, and each of them shakes hands once with each of the others. How many handshakes does that make?

30.(M) Complete these words by inserting the same three letters in each.

IM---EL EX---SE S---GLE

30.(N) Rearrange these letters to give the title of a Clint Eastwood movie:

GIRLISH PATHFINDER

30.(O) Rearrange these letters to give the name of a popular singer:

HEAR INFANT LARK

30.(P)Five kids were sharing out a box of candies. Alex took one-third, Bobby took one-quarter, Cass took one-fifth, and Danny took one-sixth. That left six candies as Emily's share. How many candies were there altogether?

30.(Q) Complete the word inside the brackets that means the same as the words outside the brackets.

REAR (S____) SEVERE

30.(R) What do the following words have in common?

BALL WAY BROW

TAIL ROAD LIGHT

30.(S) A pound of apples and a pound of bananas cost $3.65, a pound of bananas and a pound of cherries cost $4.95, and a pound of apples and a pound of cherries cost $6.10. What is the price per pound of each fruit?

30.(T) Rearrange these letters to form four different six-letter words:

E E N R U T

30.(U) Complete these words by inserting the same thre letters in each:

S---GH F---RISH C---DY

30.(V) The time is twenty-six minutes to one in the afternoon. The year is 1978, and the date is May 6th. What is the significance of this?

30.(W) What do the following numbers - and only these numbers - have in common?

3 7 10 11 12

30.(X)Rearrange the letters of the following phrase to form the name of a capital building.

ONE OLD FORT NOW

30.(Y) Here is a quotation with all the spaces and vowels removed. What is the quotation?

TRRSHMNTFRGVDVN

31.(A) Tom is 40, Jerry is 13. How many years ago was Tom four times as old as Jerry?

31.(B) What do the following words have in common?

CHILDHOOD HAND NATURE WIND FIDDLE

31.(C) Rearrange the letters of the following phrase to form the name of a well-known film director.

COLD POPCORN AFFAIRS

31.(D) Complete the following words by inserting the same three letters in each.

B---ON C---TER G---TY ME---ED

31.(E) By what name is the famous 15th Century Italian painter Antonio Pisano also known?

31.(F) What did the Knights of the Round Table quest for?

31.(G) Who starred in the movie Twelve Monkeys?

31.(H) In what year did the Titanic sink?

31.(I) Who wrote A Clockwork Orange?

31.(J) What is a parallelepiped?

31.(K) What was L.L. Cool J's 1984 debut single?

31.(L) The Declaration of Paris was issued in

31.(M) Thus Spoke Zarathustra was written by

31.(N) Who was the first female vice-presidential nominee of a major U.S. party?

31.(O) The State University of Utrecht was founded in which century?

31.(P) Which volcano erupted in 1980?

31.(Q) Which of the following families is the radish a member of?

31.(R) What is the first name of the individual the Pulitzer Prizes are named for?

31.(S) Who conceived the social philosophy of objectivism?

31.(T) A Leyden Jar is an early form of

31.(U) Duke Ellington is best known as a

31.(V) Chinese Boxing is better known as

31.(W) What was Mozart's first name?

31.(X) What fictional detective talked about the "little gray cells"?

31.(Y) . If each letter in the following equations represents a number from 1 through 9, determine what number each letter represents.

A. A+A+B+C = 13

B. A+B+C+D = 14

C. B+B+C+D = 13

32.(A) Remove my last three letters & you have a group of ships. I am impermanent. __________

32.(B) I am a type of family member. Remove one of my letters & you have something annoying. __________

32.(C) Remove my first two letters & you have a subject taught in many schools. A metallic character in a children's story both lacked & sought me. __________

32.(D) I mean the opposite of 'good,' but if you change my first letter, you have a religious leader. __________

32.(E) My last half is a color, & my first half often contains fluid. __________

32.(F) I am a crowning achievement for someone entering a position of high authority. My last six letters mean the same as 'country.' __________

32.(G) My last half means 'impolite,' & I mean to 'stick out.' ___________

32.(H) I am the title of a movie. Remove my first two letters & you have the plural form of a parasitic insect. __________

32.(I) I am a wanton leader from long ago. Remove my first letter & read me backward & you will find something that is mined. __________

32.(J) My first half read backward means 'dull,' & I am a period of each day. __________

32.(K) I am a student of a certain scientific discipline. My last four letters are a cloud of water droplets. __________

32.(L) Remove my first two letters & you have the name of a certain body of water. I am a mythical creature found in folklore. __________

32.(M) My last three letters are a vehicle. Remove my first two letters & change my next to last letter & you have a type of bird. __________

32.(N) Remove my first three letters & read me backward & you have an animal. I am the text of a musical composition. ___________

32.(O) My last four letters denote a conservative. I am an 'established record.' __________

32.(P) I was a famous poet. Remove one of my letters & you have something often held by candlelight. __________

32.(Q) Remove my first three letters & you have a flower. I am an extremely unfortunate occurrence. __________

32.(R) Remove my first & last letter & you have a synonym for 'mouth.' Remove my second letter & you have a type of mallet. __________

32.(S) I am a musical instrument. Change my fourth letter, then read me backward, & you have a member of a race of people. __________

32.(T) I am a type of pipe. My last five letters, when made plural, have been used to punish. __________

32.(U) I am a musical instrument. I rhyme with a word meaning the same as 'shrivel.' __________

32.(V) I am a mythical character. Remove my first three letters, then read me backward, & you have something that was discussed by a man whose name denotes a type of leader for singers. __________

32.(W) I am the immature form of certain creatures. Remove my middle letter & you have something very hot. __________

32.(X) My last four letters denote a crazy person. I can be used for decoration, or, in some cases, transportation. __________

32.(Y) Some singers can be described by my last four letters. I am a piece of glass or enamel. __________

33.(A) A poor man wanted to smoke cigarettes, but did not have enough money to buy them. He found that if he collected cigarette butts, he could make a cigarette from every 5 butts found. He found 25 butts, so how many cigarettes could he smoke?

33.(B) Having just picked some apples from my tree, I placed them in a basket, & took them around to my friends. I ate one, & then gave a third of the remaining apples to my friend Mike. I then drove to Joe's home, but ate two apples along the way. I gave Joe half of the remaining apples. After Joe's I met Christy, & gave her 10 of the remaining apples, which left one apple. I ate this one later. How many apples started out in the basket?

33.(C) A man and his son were in an automobile accident. The man died in the accident, but his son was rushed to the hospital. Fortunately, the boy was saved by the doctor who operated on him. The boy was the doctor's son. How is this possible?

33.(D) In a certain lottery, thirty balls, each one numbered 1, 2, 3......30 are placed in a basket. The basket is shaken, and 5 of the balls are randomly drawn from the basket, and set side by side. The result is a set of numbers in a particular order, such as 14, 26, 2, 9, and 17. If you purchased a ticket that had 5 such numbers in random order, what chance would you have of winning the lottery?

33.(E) Andy, Brian, Cedric, and Dave are an architect, a barber, a caseworker, and a dentist, but not necessarily in that order. Given the following facts, determine what each man's occupation is:

A. At least one, but not all of the men's names begin with the same first letter as their occupation.

B. The architect's name does not contain an r.

C. The barber and dentist each have names that share exactly one letter.

33.(F) The puzzle consist of two words on opposite sides of some blank lines. The number of blanks indicates the number of letters in the word that is the solution to the puzzle. The words on either side of the word in question are both related to it.

EXAMPLE: Guide ---- Pencil The answer would be LEAD.

Basket ------- Helium

33.(G) The puzzle consist of two words on opposite sides of some blank lines. The number of blanks indicates the number of letters in the word that is the solution to the puzzle. The words on either side of the word in question are both related to it.

EXAMPLE: Guide ---- Pencil The answer would be LEAD.

Exhaust ---- Wheel

33.(H) The puzzle consist of two words on opposite sides of some blank lines. The number of blanks indicates the number of letters in the word that is the solution to the puzzle. The words on either side of the word in question are both related to it.

EXAMPLE: Guide ---- Pencil The answer would be LEAD.

Theseus --------- Bowie

33.(I) The puzzle consist of two words on opposite sides of some blank lines. The number of blanks indicates the number of letters in the word that is the solution to the puzzle. The words on either side of the word in question are both related to it.

EXAMPLE: Guide ---- Pencil The answer would be LEAD.

Gasoline ----- Egg

33.(J) Remove my first three letters & you have an island. My first half is a circular object. __________

33.(K) I am often found in salads. You can perform my last four letters from a certain type of board. __________

33.(L) My last half backward is sometimes found on floors. Change my fifth letter, then remove my first letter, & you have an emotion. __________

33.(M) My last half means 'deceased,' & I am an action that shows affection. __________

33.(N) My last four letters backward denote something made of metal. I am a word related to the wind. __________

33.(O) You have 8 marbles that weigh 1 ounce each, & 1 marble that weighs 1.5 ounces. You are unable to determine which is the heavier marble by looking at them. You have a weighing scale that consists of 2 pans, but the scale is only good for 2 total weighings. How can you determine which marble is the heaviest 1 using the scale, & in 2 weighings?

33.(P) A group of 4 people, Andy, Brenda, Carl, & Dana, arrive in a car near a friend's house, who is having a large party. It is raining heavily, & the group was forced to park around the block from the house because of the lack of available parking spaces due to the large number of people at the party. The group has only 1 umbrella, & agrees to share it by having Andy, the fastest, walk with each person into the house, & then return each time. It takes Andy 1 minute to walk each way, 2 minutes for Brenda, 5 minutes for Carl, & 10 minutes for Dana. It thus appears that it will take a total of 19 minutes to get everyone into the house. However, Dana indicates that everyone can get into the house in 17 minutes by a different method. How? The individuals must use the umbrella to get to & from the house, & only 2 people can go at a time (& no funny stuff like riding on someone's back, throwing the umbrella, etc.).

33.(Q) You are in a room with 2 doors leading out. Behind 1 door is a coffer overflowing with jewels & gold, along with an exit. Behind the other door is an enormous, hungry lion that will pounce on anyone opening the door. You do not know which door leads to the treasure & exit, & which door leads to the lion. In the room you are in are 2 individuals. The first is a knight, who always tells the truth, & a knave, who always lies. Both of these individuals know what is behind each door. You do not know which individual is the knight, or which one is the knave. You may ask 1 of the individuals exactly 1 question. What should you ask in order to be certain that you will open the door with the coffer behind it, instead of the hungry lion?

33.(R) You & I come across 3 people, & each 1 is a knight, knave, or normal (normals sometimes tell the truth, & sometimes lie). Exactly 1 of them is a knight, 1 of them is a knave, & the other 1 is a normal. They make the following statements:

A. I love cats.

B. C always tells the truth.

C. A hates cats.

If I bet you $20 that you could not correctly identify which 1 of these people is a knight, which 'horse' would you be wisest to bet on?

33.(S) Four individuals made the following statements, & each 1 is a knight or a knave. Which ones are knaves, if any?

A. Hydroponics is a science that deals with fisheries.

B. D always tells the truth.

C. The primary colors in the spectrum are red, yellow, & blue.

D. C always tells the truth.

33.(T) If you added together the number of 2's in each of the following sets of numbers, which set would contain the most 2's: 1-333, 334-666, or 667-999?

33.(U) You have 3 baskets, & each 1 contains exactly 4 balls, each of which is of the same size. Each ball is either red, black, white, or purple, & there is 1 of each color in each basket. If you were blindfolded, & lightly shook each basket so that the balls would be randomly distributed, & then took 1 ball from each basket, what chance is there that you would have exactly 2 red balls?

33.(V) 8 kips & 14 ligs can build 510 tors in 10 hours, & 13 kips & 6 ligs can build 492 tors in 12 hours. At what rates do kips & ligs build tors? Express your answers in tors per hour.

33.(W) If a juggler juggles 4 objects, how many total throws must he or she make before the objects are returned to their original positions (i.e. the original 2 objects in each hand)? The juggler starts out with 2 objects in each hand, & throws 1 object from 1 hand, then another object from the second hand, then the remaining object from the first hand, & so on. Except for the first throw for each hand, there is a moment where the throwing hand no longer holds anything after each throw. You may wish to draw a diagram for this one.

33.(X) I am a 12 letter word.

A. My 2, 9, 10, 11, 12, 8 is a word that means the same as the word that is the name of a very well known search engine.

B. My 7, 5, 6, 4 is a famous philosopher.

C. My 10, 11, 3, 1, 8 is the snow leopard of Asia.

What am I?

33.(Y) You have 1,432 feet of fence that must be strung out in a straight line. A fence post must be placed for every 4 feet of fence, so how many fence posts will be needed?

37.(A) If A = 2 and B + P + F =24, what are the values of Q and S ? Consider whole numbers only.

A + B = Z

Z + P = T

T + A = F

F + S = Q

Q – T = 7

37.(B) Your boss has asked you to purchase three different types of ball point pens. The first costs 50$ , the second $5.50 , the third $9.5 . He has given $100 to you and told you to purchase 100 pens in any combination as long as you spend exactly 100$ for 100 pens. Just one solution is possible.Find it.

37.(C) Mary has placed 2 chocolates cup cakes in one drawer of her kitchen. In another drawer,she has placed a chocolate and a vanilla cup cake and in a third drawer,2 vanilla cup cakes.Her brother knows the arrangement of the cup cakes,but deosnot know which drawers contain each arrangement.Mary opens one of the drawers, pulls out a chocolate cup cake, and says to her brother, “If you can tell me what the chances are that the other cupcake in this drawer is chocolate, I will let you have any cupcake you like”.What are the chances that the other cupcake is chocolate?

37(D) A team of cryptologists is in the process of developing a 4 digit code that can never be broken. They know that if the code begins with 0 , 5 or 7, it can be cracked. What is the greatest number of 4 digits code the team can use that won’t be broken?

37(E) Assuming that P,Q and R have values other than those already used, what number,excluding 0 , is it impossible for R to be ?

2 P 4

Q 5

+ R 7

----------

4 0 6

37(F) If 7 power 33 is divided by 10, what wil the remainder be? You may get the wrong answer if you try to solve this on some calculators.

37(G) While reading a certain newspaper, you notice that four pages of one section are missing. One of the missing pages is 13. The back page of this section is 40. What are the other three missing pages?

37(H) In a strange, distant land, they have a slightly different number system than ours. For instance, 4 * 6 = 30 and 4 * 7 =34. Based on this, what is the value of 5 * 4 * 7 in this land ? [ Hint: Remember this is a number system.]

37(I) Ann, Boobie,Cathy, and Dave are at their monthly business meeting. Their occupations are author, biologist, chemist, and doctor, but not necessarily in that order. Dave just told the biologist that Cathy was on her way with doughnuts. Ann is sitting across from the doctor and next to the chemist. The doctor was thinking that Boobie was a goofy name for parents to choose, but did not say anything. What is each person’s occupation?

37(J) The French Open Tennis Tournament has seven rounds of single elimination of its men’s singles competition. This includes the championship match, and there are no byes. How many men’s single splayers originally enter when play begins?

37(K) The sum of the infinite series ½ + ¼ + 1/8 + 1/16 ……… equals 1. What is the sum of the infinite series ¼ + 1/16 + 1/64 + 1/256……..?

37(L) Seventy-eight percent of all people are gum chewers, and 35 percent of all people are under the age of fifteen. Given that a person has been selected at random,what is the probability that the person is not a gum chewer and above age fifteen?

37(M) John’s mother told him to go to the river and bring back exactly 9 gallons of water in one trip. She gave him a six-gallon bucket and a five-gallon bucket to complete his task. Of course, John’s mother told him she’d bake his favourite cake if he came back with the 9 gallons. John had his cake and ate it, too. Can you?

37(N) Nine men and seven women pick as much corn in five days as seven men and eleven women pick in four days. Who are the better corn pickers and by how much?

37(O) 1881: 1961 , 6009: ??

37(P) What is the next number in this series ?

1 2 4 13 31 112 ???

37(Q) Guess the next number in the series ?

1 4 2 8 5 7 ???

37(R ) What is the missing number in this series ?

9 3 15 7 12 ?? 13 5 17 11

37(S) What is the next number in this series ?

0 2 4 6 8 12 20 16 ???

37(T) What is the missing number in this series ?

16 21 26 26 12 ?? 19

37(U) What is the next number in this series ?

3 4 11 16 27 36 ??

37(V) If one type of weight can balance either 5 gold coins or 4 silver coins, then 10 weights of same type can balance 20 gold coins and how many silver coins in the same scale pan ?

37(W) No puzzle book would be complete without atleast one anagram. Here is a phrase that, when unscrambled, spells the name of a famous person. The phrase gives a

small hint relating to the person’s identity.

BEEN IN STAR NITE

37(X) Nitram Rendrag, the world’s most renowned puzzle creator, often rents a private dining car on the Charlotte-Greensboro-Charlotte turn-around shuttle. The railroad charges Rendrag $120 for the trip. On a recent trip, the conductor informed Rendrag that there were two students at the Franklin station who wished to go from Franklin to Greensboro and back to Franklin. Franklin is halfway between Charlotte and Greensboro. Rendrag asked the conductor to let the students ride with him.

When the students boarded Rendrag’s car , he said , “If you can tell me the mathematically correct prize you should pay for your portion of the trip, I will let you ride for free. Remember , your answer has to be mathematically equitable for all of us.” How much should the students pay for their journey ?

37(Y) Priya is Ravi’s daughter’s aunt’s daughter’s sister. What is the relationship between Priya and Ravi ?

49.(A) If log 2=0.30103 , find the no. of the digits in 256.

49.(B) 1/logxy(xyz)+1/logyz(xyz)+1/logzx(xyz)=?

49.(C) If log2[log3(log2x)]=1, then find the value of x?

49.(D) 1/[(logabc)+1]+1/[(logbca)+1]+1/[(logcab)+1]=?

49.(E) 16log45=?

49.(F) The year next to 2002 having the same calendar as that of

2002 is?

49.(G) What was the of the week on 28-2-1995?

49.(H) The day on 10th march of a year is the same day on

what date of the same year?

49.(I) The 26th January of 1950 is what day?

49.(J) If the first day of the year 1991 was Tuesday ,what day

of the week must have been on 1st January 1998 ?

49.(K) In a 100m race ,A covers the distance in 36sec and B in

in 45sec. In this race A beats B by _______ meters.

49.(L) A and B takes part in a 100m race. A runs at 5km/hr. A

gives B a start of 8m and still beats him in 8sec. what is the speed of B?

49.(M) At a game of billiards, A can give B 15pts in 60 and A

can give C 20 in 60. How many B can give C in a game of

90?

49.(N) A runs 5/3 times as fast as B. If A gives B a start of 80m,

how far must winning post be so that A and B might

reach it the same time?

49.(O) In a 300m race A beats B by 22.5m or 6sec. B’s time over

the course is __ sec.

49.(P) In a 200m race A beats B by 35m or 7sec. A’s time over

the course is __ sec.

49.(Q) A,B,C are 3 contestants in a Km race. If A can give B a

start of 40m and A can give C a start of 64m, how many

meter’s start can B give C?

49.(R) A cone of height 7cm and base radius 3cm is carved from

a rectangular block of wood 10cm*5cm*2cm. What is the

% of wood wasted?

49.(S) A cylindrical tub of radius 12cm contains water upto a

depth of 20cm. A spherical iron ball is dropped into the

tub and thus the level of water is raised by 6.75cm. what

is the radius of the ball?

49.(T) Water flows at a rate of 10m/min from a cylindrical pipe

5mm in dia. How long will it take to fill up a conical

vessel whose dia at the base is 40cm and depth 24cm?

49.(U) A cylindrical vessel 32cm high and 18cm as the radius

of base is filled with sand. This is emptied on the

ground and a conical heap of the sand is formed. If the height

of the conical heap is 24cm, find the radius of its base?

49.(V) Ten pipes through which water flows at the same rate can fill a

tank in 28 minutes. If three pipes go out of order, how long will the remaining pipes take to fill the tank?

49.(W) A clock is set right at 8:00 am. The clock gains 10min in 24hrs

What will be the true time when the clock indicates 1:00pm

On the following day?

49.(X) A man buys Rs. 25 shares in a company which pays 9% dividend. The money invested is such that it gives 10% on

investment. At what price did he buy the shares?

49.(y) A man sees a train passing over a bridge 1km long. The length

of the train is half that of the bridge. If the train clears the bridge

in 2min, the speed of the train is?

ANSWERS

1.(A) 7 Days in the Week.

A Square has 4 Sides.

20,000 Leagues Under the Sea.

9 Planets in the Solar System.

1760 Yards in a Mile.

1.(B) 311311222110; each terms describes the previous one. We start with 0, which is one zero = 10. 10 is one one, one zero = 1110. 1110 is three ones, one zero = 3110, etc.

1.(C) Cross eyed.

1.(D) At the time she went into labor, the mother of the twins was traveling by boat. The older twin, Terry, was born first, early on March 1st.The boat then crossed the International Date line and Kerry, the younger twin was born on February the 28th.In a leap year the younger twin celebrates her birthday two days before her older brother.

1.(E) They were two of a set of triplets (or quadruplets etc.)

1.(F) White -- because a house with southern exposures on all 4 sides must be at the North Pole, where they only have Polar Bears.

1.(G) He weighs MEAT!

1.(H) Strawberry.

1.(I) Alan and Jessica performed the tango. Keith and Laura performed the foxtrot. James and Charlotte performed the waltz. Simon and Becky performed the rumba.

1.(J) £98.82.

1.(K) 15; odd numbers expressed in octal (base 8), 11 in octal is 15.

1.(L) Look before you leap.

1.(M) A coffin.

1.(N) Doc was at the front, followed by Happy, Smelly, Sneezy, Stumpy, Sleepy, Grumpy, Dopey, Droopy and finally Bashful.

1.(O) Bacterial and calibrate.

1.(P) rf; this sequence spells out the numbers one two three four five etc.

1.(Q) E; These are letters which all sound the same, bee, see, dee, ee, etc. All depending on how you pronounce Z (zee or zed), you can include this.

1.(R) Andorra, Ethiopia, Greece, Madagascar, Norway, Romania, Yemen. The final answer is Germany.

1.(S) 667

1.(T) R; the last letter of September.

1.(U) Eel, yak, asp, boa, wren, bull, cow, hart, hind, ape, seal, ant, vole, collie, fox, bat, ox, lion, owl.

1.(V) As the monkey climbs, the weight will rise by the same amount.

1.(W) 1301311; the sequence 123, 124, 125, 126, 127, etc has been broken into chunks of 1, 2, 3, 4, etc.

1.(X) Matthew is 3 and has two teddies.

Paul is 1 and has one teddies.

John is 4 and has three teddies.

Darren is 2 and has four teddies.

1.(Y) Demijohn, sample, absorbent, headache, scanner, billionaire, break dance, monogamy, frankincense, smelly.

2.(A) E (we go backward with alternate difference of 2,3,2,3,2)

2.(B) T (each letter is twice the no. of steps removed from the preceding letter as indicated by the no. Between the letters)

2.(C) EVENT

2.(D) V (each letter jumps alternatively forwards and backwards always doubling the no. Of letters jumped i.e. 1,2,4,16)

2.(E) DUCT

2.(F) J (numbered consecutively the letters are 2,5,10,17 and 26 ;these nos. are squares of the 1st 5 nos. with 1 added each time)

2.(G) C= Rs. 1680,B=Rs.1800. capitals invested by A,B,C for a period of 12 ,7,5 months &their shares in the profit are in the ratio 4:3:2.since A invests Rs1400 for 12 months, let B invests Rs. x for 7 months.

1400*12:x*7 :: 4:3. X=Rs.1800

2.(H) 89.

2.(I) 150 steps.

2.(J) 60 km/h.

2.(K) Kumar Misra Dev , Mohan Iyer Dev, Kumar Patil Mohan, Mohan Sharma Kumar

2.(L) Time of shooting = 11:54 PM

Claimed Time = 10:59 PM

2.(M) 224. No number has digits more than 4. All of them are 1 , 2, 4, 8 , 16 , 32 , 64 converted to numbers in base 5.

2.(N) Today is Tuesday.

2.(O) 65292.

2.(P) The clock strikes for the first time at the start and takes 7 seconds for 6 intervals-thus for one interval time taken=7/6.

Therefore, for 10 seconds there are 9 intervals and time taken is 9*7/6=10 and 1/2 seconds.

2.(Q) 89.

2.(R) the sixth floor.

2.(S) Second evening:Vikram,Ankur,Abhishek,Amol,Vasu,Anurag and Bhuwan. Third evening :Vikram,Anurag,Abhishek,Vasu,Bhuwan,Ankur,Amol

2.(T) 12 (as 5*4=20, 20+4=24, 24/4=6, 6-4=2, 2*4=8, 8+4=12).

2.(U) 18

Initially . x x x

Now x-4 x-4 x-4

Equation is 3x-12 = x

2.(V) A had 39 cars, B had 21 cars & C had 12 cars

2.(W) B - (May 10) SUNDAY. C - June 6 (Friday).

2.(X) Sujith; Lakers

2.(Y) 26 minutes.

3.(A) Mary wins. If the distance around one lap is “d” and Mary’s is “v”, her time is (2d/v). Bill’s time is d / (v-x) + d / (v+x) = 2d/ (v-({x^2}/v)), which is slower.

3.(B) The Oarsman’s velocity relative to the water is constant. Since he rowed away from the log upstream for an hour, he rowed down stream for an hour before he returned to it. During those two hours the log moved 2 km, so its velocity relative to the land was 1 km/hr.

3.(C) Bill’s sock drawer contains 2 different colors of socks, he has to pick only three socks to make sure of getting a matched pair.

3.(D) Who ever serves first ,he served 5 games .If he won “x” of these , he lost

5-x.If the other player lost “y” games while serving, the total lost by the servers is

5-x +y=5.

3.(E) Letters of the alphabet . Keys on a piano.

Wonders of the ancient world. Stripes on the American flag.

Degree Fahrenheit at which water freezes. Arabian nights.

Sign of the zodiac. Cards in a deck.

3.(F) When a man walks from one end of a light weight boat to the other , the center of gravity of the man and boat system remains fixed as no external force acts on it so when the man moves one way the boat moves the other .When the man stops, the boat stops.

3.(G) If the distance from Los Angeles to San Francisco is “D”, the total time for the round trip was

D/380 +D/420 = D/199.5

The average speed for the round trip was 2D/ (D/199.5) =399 m/hr, not 400 m/hr.

3.(H) If team “A” wins game one ,it must win three of the next six games to win the series. Number of ways for that is 6C3=20.

Team B must win 4 of the next 6 games to win the series. Number of ways it can be done is 6C4 = 15.

Out of 35 outcomes, 20 produce win for team A. Probability of winning = 20/35.

If it wins game 2, then probability of series win =5C2/ (5C2 + 5C4) = 2/3.

If it wins game 3, then p = 4C1 / (4C1 + 4C4) = 4/5.

3.(I) If a meteorite is at distance “y” from center of the earth and approaches with a velocity “v”, its acceleration is dv / dt = -g r^2 / y^2. r is the radius of the earth.

dv/dy = (dv/dt)/v; vdv = (dv/dt) dy = -g r^2 (dy/y^2)

v^2 = gr^2/y + constant.

v=0 when y=infinity => c=0.

v=sqrt((2g r^2)/y). Substitute y=r=200km. Answer = 11 km/s.

3.(J) Assume e^pi > pi^e => pi>e ln pi => pi / ln pi > e (=e / ln e).

For any “x”, (d/dx)(x / ln x) = (ln x -1)/((ln x)^2) which is positive for any x > e .

Since pi > e, the inequality is true. Thus, e^pi is larger.

e^pi = 23.14 pi^e = 22.46.

3.(K) V = pi * d * d * h/4 A = pi * d * h + pi * d * d /2.

Hold V constant. Solve for d in terms of V and substitute in equation of V to eliminate d. then differentiate A with respect to h, and find h for minimum value of A.

Alternately, eliminate h and differentiate A with respect to d or hold A constant and maximize V. Result is h=d.

Reason: Why cans are actually made with the ratio h/d>1 is to make them look larger.

3.(L) Maximum value of T = 4.

3.(M) The woman is a blindfolded tightrope walker at a circus. The music ended a little early, and she knew that she reached the ends, so she lost balance and fell to her death.

3.(N) The other end was tied to nothing.

3.(O) Your Breath.

3.(P) The answer is nothing.

3.(Q) The man worked at either a lighthouse or an air control center, and when he turned off the lights, the captain couldn't see and crashed.

3.(R) Just two, My dog and myself.

3.(S) The number 7 on a touch-tone telephone.

3.(T) 2 feet. The creature's body was 2 2/3 feet long, and its head was 2/3 foot long.

3.(U) The man died before his brother was born.

3.(V) T. Look at your keyboard, and you'll see that the letters read right across it, but there is a K instead of a T on your keyboard.

A. It is the only letter that cannot be drawn without touching the same point twice.

3.(W) Take the first letter on the far left, then the farthest letter on the right, the next furthest letter on the far left, the next furthest letter on the right, and so on, and you'll get I LOVE GAMES.

To be, or not to be: that is the question. The letters given in the sequence are the last letters in each of these words.

3.(X) Venice.

3.(Y) 666 2/3 meters. Draw a diagram of the route I took, and then think of it in terms of a pie chart. I walked exactly 3/4 of the way around the arena, so simply multiply the 500 meters I walked by 4/3 to get the answer.

5.(A) 5 ; The numerical equivalent of the corresponding alphabet is given. The word is “PUZZLE”. Equivalent of “E” is 5.

5.(B) 7; 7^1 ends with 7; 7^2 ends with 9; 7^3 ends with 3; 7^4 ends with 1; Again the numbers repeat. Therefore, 7^32 is 1 and 7^33 is 7.

5.(C) 24 silver coins.

5.(D) 19 one inch cubes.

5.(E) 400 in roman letters.

5.(F) Seven paces.

5.(G) R; Those letters that have closed path are made to form the series.

5.(H) South.

5.(I) 1 is the smallest integer divisible by 1.

2 is the smallest integer divisible by 1 & 2. 6 is the smallest integer divisible by 1 ,2&3.

Answer is 2520.it is the smallest no. divisible by 1,2,….,9.

5.(J) Remove 4th and 11th.

5.(K) 3 dimensional visualization. Consider a sphere of unit radius enclosed by a cube. Each edge is two units long, diagonal of each face is 2 sqrt(2), and each internal diagonal is 2 sqrt(3). Thus, distance from corner to center of cube, and of sphere is sqrt(3). Let “R1” be the radius of the small sphere. Distance from starting corner to outer intersection of sphere and diagonal, the tangent spot is (1+sqrt(3))*R1. Taking R2 as radius of larger sphere, distance from starting corner to inner intersection, the other tangent spot is sqrt(3)-1. Therefore, the desired ratio R2/R1 = (sqrt(3)+1)/(sqrt(3)-1). Approximately 3.73205. This is almost sqrt(3)+2.

5.(L) Divide OC voltage by SC current. But measuring SC current would discharge battery quickly. Measure OC voltage and then connect known resistance R1 across battery terminals. Then measure V1. Internal resistance R = (V/V1-1)*R1.

If there is a potentiometer for R1, adjust it to make V1 half of V. Then R1=R.

If there is an ammeter, measure current through R1.

R=V/I-R1.

5.(M) The prob. that two people have different birthdays is 364/365. The prob. that three people have different birthdays is (364/365)*(363/365).

The prob. that “n” people have diff. Birthdays is

P=(364/365)(363/365)…..((366-n)/365).

When n=23, P=0.493. So for a group of 23 people, the prob. (1-P) that at least two have same birthday is slightly higher than 0.5.

5.(N) ONE WORD.

5.(O) The time will be 12:10 p.m.

5.(P) He covers 30 miles exactly in 3 hours.

5.(Q) A AT TEA DATE STEAD TRADES

5.(R) 16 inches.

5.(S) Height of the steeple is 102 feet.

5.(T) 50%.

5.(U) The two quantities are equal.

5.(V) 8.

5.(W) Mala = 38 years.

Sam = 41 years.

5.(X) 0.8.

5.(Y) 18.

6.(A) 10000 (prime numbers are given the value one and non

prime numbers are given the value zero.)

6.(B) 1,3,9,27,81 Kgs. (the minimum number is five)

6.(C) 49,42.(actually the alphabets of 1,2,3…… are given the

corresponding values .For ex: one = 15+14+5=34. )

6.(D) 6 5 (PI = 3.14159265 )

6.(E) 5.

6.(F) Blue colour box and the maximum amount is Rs. 40,000.

(since one of the given three statement is true and the

maximum amount corresponds to that box ,we have to

assume each one statement to be true and the maximum

amount condition is verified to the corresponding box.

On assuming so ,for blue box statement we get

Red box = 10000+15000=35000

Green box =10000+15000=25000

Blue box =15000+25000=40000

For the other coloured box statements the maximum

amount condition does not hold .)

6.(G) If n is a power of 2 the remainder is zero.

If n is prime the remainder is 2.

For all other values of n the remainder is not well defined

and depends only on n.

6.(H) Mr. Bajaj is the engineer and either his wife or his son is

the doctor.

6.(I) It is afternoon and A can be Mani or Mohan.

6.(J) 10968.( Only they can be read in the reverse manner)

6.(K) 2^9* 5^9.

10.(A) About 330.

10.(B) Let the digit unknown be n. The given number is 900+50+n=950+n. When reversed the new number is 100n+50+9=59+100n. Subtracting these two numbers we get 891-99n. The digits can be arranged in three ways or six ways. We have already investigated 2 of these ways. Now the remaining 4 ways. One of these is n95

100n+90+5=891-99n. n=4.

10.(C) -3,-1,1

10.(D) 91 or 362880

10.(E) No. A hexagonal pencil does not have 6 edges it has 8, if not sharpened-6faces and 2 small bases.

10.(F) Parallelogram

10.(G) In a regular chess board, there are 1296 rectangles altogether including 8/8 outer square.

10.(H) Four rungs only. Boat rises with the tide.

10.(I) The fourth oarsman can be chosen from the three who can row on either side in three ways. And so when this fourth oarsman is chosen, the four stroke side oarsman can be arranged 4! Ways. There are 3*4! Ways of arranging the stroke side.

Consider the bowside oarsmen. There is no choice of men here, as there are two bowside oarsman and the two can row on either side. These two men can be arranged in 4! Ways. Because, for each stroke side arrangement, any of the bowside arrangements is possible.

Therefore the total number of arrangements is 3*4!*4!=1728.

10.(J) Approximately 19 years.

10.(K) 0 to 9 places of decimals 2.71828 1828

10.(L) 26*25*4=15600. It is the result of dividing factorial 26 by (26-3)!

Generally speaking the number of permutations of n things if only r are taken at any one time is or n! divided by factorial (n-r)nPr

10.(M) 127, 255, 511.

This series is being built up according to the order where the actual term is equal to (2 ^n)-1, n being the number of terms.

10.(N) 773, 2753.

In this sequence we have to try all the combinations of mathematical operations we know until we find the order which satisfies this sequence. The order in this case is

Tn = 3Tn-1+2Tn-2

T7= 3(217) + 2(61)=773

10.(O) Neither. There is same amount in each.

a = amount of orangeade in glass at start

b = amount of orangeade first transferred

c = amount of orangeade second transferred

d = amount of lemonade transferred to orangeade

To show d= b-c

Time Amount of orangeade in glass

Start a

First transfer a-b

Second transfer (a-b)+(c+d)

Therefore a must equal the final amount after the second transfer

a= (a-b)+(c+d)

d = b-c

10.(P) 7. Make a vertical cut in the tree trunk and peel off the trunk to form a long rectangle. Across the rectangle draw 5 parallel lines to represent the jasmine and another parallel line for the rose. Now you will see 7 crossing positions.

10.(Q) 2420 feet

1100 feet/1sec = x feet/(11/5)sec

then x is 2420

10.(R) The farmer was pointing at the basket with 29 eggs. Chicken eggs were in the basket marked 23, 12 and 5. Duck eggs were in the basket marked 14 and 6.

23+12+5+40 chicken eggsw after the transaction and 14+6= duck eggs.

There were twice as many as chicken eggs as duck eggs, as the problem said.

10.(S) The first piee can be placed in any of the 64 squares. Now remains 63 squares for the second piece, that is to any one of the 64 positions of the first piece we can add the 63 positions to the second.

There are 64*63= 4032 different positions in which the two pieces may be placed on a draught board.

10.(T) This job can be done simply by opening up three links – the llinks of one section, aand joining the ends of the other four sections with them.

10.(U) 44cms

The safe moves forward twice the length of the circumference of one of the steel bars. This distance is (2*22*7)/7= 44cms.

(a) The motion forward caused by one revolution of the rollers if they were rolling off the ground.

(b) The motion forward of the centers of the rollers as they themselves roll forward on the ground.

The motion is 22cms in both the cases. Therefore total motion = 44cms

10.(V) 18- Rajiv scores 50 while Sanjiv scores 40, Sanjiv scores 50 while Vijay scores 40. Sanjivs scores 40 while Vijay scores (40*40)/50= 32.

Rajiv scores 50 while Sanjiv scores 40 and while vijay scores 32.

Therefore Rajiv can give 18 points to Vijay.

10.(W) Greatest: log2+log4

smallest log6-log3

10.(X) 4. Most people think the answer is 3 because it is easy to create an equilateral triangle with a tree planted on each corner. But of the land had just the right contours, a fourth tree might be planted in a valley or on a hill, forming a pyramid shape above or below the center of the triangle in a spot that would maintain the equidistance.

10.(Y) 71.4 metres. Sanjiv runs 1470 metres while Vijay runs 1400 metres. At the same rate Sanjiv runs 1500 metres while Vijay runs

(1500*1400)/1470= 1428.6 metres.

Hence Sanjiv should beat Vijay by 71.4 metres.

16(0) 11 seconds

There is an interval of 1 second between each stroke. If the clock strikes 6, there are 5 intervals. If the clock strikes 12 there are 11 intervals.

16(P) Nr.1 sees a white and a black hat in front of him. He cannot tell what hat he is wearing, so he keeps his mouth shut. If nr.1 saw two black hats, he would know that he was wearing a white hat. Because nr.1 does not say anything nr.2 knows that nr.1 must see a black and a white hat. Nr.2 sees a black hat and therefor he knows that he himself wears a white hat.

16(Q) First the farmer takes the goat across the river. He goes back to pick up the wolf. When he is across he leaves the wolf and takes back the goat. Back on the other side he leaves the goat and takes the cabbages with him. Then he picks up the goat and all three items are on the other side.

16(R) Ask the man which city he lives in. He will always point to village B.

16(S)3 cows, 41 geese and 56 chicken.

16(T) 6 meters 28 centimeters.

The outline of a circle is 2*PI*r. If you want a rope that is one meter above the ground rnew=r+1. So you need 2*PI*(r+1)-2*PI*r more rope.

So,

x=2*PI*(r+1)-2*PI*r

x=2*PI*r+2*PI-2*PI*r

x=2*PI

x=6.28

It does not matter what the radius of the circle is. You always need 2*pi more rope.

16(U) Mother is 40 daughter is 10

16(V) 1 sheep - 1 dog = 1 goat + 1 dog

1 sheep - 1 goat = 2 dogs

A sheep is 10 dinars, but what costs a goat?

The money they received for their camels is a square. And the decade of this square is odd (total money / 10 dinars), because they could not divide the sheep equally.

Now the interesting thing is that all squares with an odd decade ends on a 6. (162 = 256, 242 = 576). So a goat costs always 6 dinars.

10 - 6 = 2 dogs

So a dog costs 2 dinars.

16(W) A wins Gold

D wins Silver

C wins Bronze

16(X) First Bono and Edge = 2 minutes

Bono goes back = 3 minutes

Larry and Adam = 13 minutes

Edge goes back = 15 minutes

Edge and Bono cross again = 17 minutes

16(Y) Make a collection of marbles taking one from the first bag, two from the second bag, three from the third, and so on and so forth. Weigh the new collection and the weight in hundredths of a gram will tell what bag the heavier balls came from.

25(A) ABCDEF=142857 (the digits of the expansion of 1/7).

25(B) 149

25(C ) Assume there's such a positive integer x such that x/2=y and y is the reverse of x.

Then x=2y. Let x = a...b, then y = b...a, and:

b...a (y)

x 2

--------

a...b (x)

From the last digit b of x, we have b = 2a (mod 10), the possible values for b are 2, 4, 6, 8 and hence possible values for (a, b) are (1,2), (6,2), (2,4), (7,4), (3,6), (8,6), (4,8), (9,8). From the first digit a of x, we have a = 2b or a = 2b+1. None of the above pairs satisfy this condition. A contradiction. Hence there's no such integer.

25(D) Yes, there are two such pairs: (567, 567^2=321489) and (854,854^2=729316).

25(E) Because the water-lily doubles its size every day and the complete pool is covered after 20 days, half of the pool will be covered one day before that, after 19 days.

Conclusion: After 19 days half of the pool will be covered by the water-lily

25(F) It is obvious that the cork does not move relatively to the water (i.e. has the same speed as the water). So if the swimmer is swimming away from the cork for half an hour (up stream), it will take him another half hour to swim back to the cork again (down stream, where he reaches the cork at the moment it is passing the bridge). So in that one hour time, the cork has floated from 1 kilometer up stream to the bridge.

Conclusion: The water in the canal flows at a speed of 1 km/h.

25(G) Solution 1:

Fill the 5 liter jug. Then fill the 3 liter jug to the top with water from the 5 liter jug. Now you have 2 liters of water in the 5 liter jug. Dump out the 3 liter jug and pour what's in the 5 liter jug into the 3 liter jug. Then refill the 5 liter jug, and fill up the 3 liter jug to the top. Since there were already 2 liters of water in the 3 liter jug, 1 liter is removed from the 5 liter jug, leaving 4 liters of water in the 5 liter jug.

Solution 2:

Fill the 3 liter jug and pour it into the 5 liter jug. Then refill the 3 liter jug and fill up the 5 liter jug to the top. Since there were already 3 liters of water in the 5 liter jug, 2 liters of water are removed from the 3 liter jug, leaving 1 liter of water in the 3 liter jug. Then dump out the 5 liter jug and pour what's in the 3 liter jug into the 5 liter jug. Refill the 3 liter jug and pour it into the 5 liter jug. Now you have 4 liters of water in the 5 liter jug.

25(H) Note that it is a kind of trick question: the pillars stand next to each other. Which means that the cable goes 8 meters straight down and 8 meters straight up.

Conclusion: The distance between the pillars is zero meter.

25(I) First man 1 and man 2 walk across the bridge. This takes 2 minutes.

After this, man 1 walks back with the flashlight. This takes 1 minute.

Then man 3 and man 4 walk across the bridge. This takes 10 minutes.

After this, man 2 walks back with the flashlight. This takes 2 minutes.

Then man 1 and man 2 walk across the bridge. This takes 2 minutes as before.

In total: 2+1+10+2+2=17 minutes.

25(J) Each person paid $9, totalling $27. The manager has $25 and the bellboy $2. The bellboy's $2 should be added to the manager's $25 or subtracted from the tenants' $27, not added to the tenants' $27.

25(K) On a book shelf the first page of the first volume is on the "inside"

__ __

B| | | |F

A|1 |...........................|10|R

C| | | |O

K| | | |N

| | | |T

----------------------------------

so the bookworm eats only through the cover of the first volume, then 8 times 1000 pages of Volumes 2 - 9, then through the cover to the 1st page of Vol 10. He eats 8,000 pages.

If the bookworm ate the first page and the last page, it ate 8,004 pages.

25(L) THREE FLOWERS:

rose, tulip, daisy

25(M) Almost all of it. Tie the ropes together. Climb up one of them. Tie a loop in it as close as possible to the ceiling. Cut it below the loop. Run the rope through the loop and tie it to your waist. Climb the other rope (this may involve some swinging action). Pull the rope going through the loop tight and cut the other rope as close as possible to the ceiling. You will swing down on the rope through the loop. Lower yourself to the ground by letting out rope. Pull the rope through the loop. You will have nearly all the rope.

25(N) 13. She could possibly take out 6 black left hand gloves and then 6 brown left hand gloves, the next one would have to be either the right hand or left hand match.

25(O) The kids row across. One comes back. An adult goes over, and the kid comes back. Both kids row across again, and one comes back. The other adult rows across and the kid comes back. Both kids row across again.

25(P) You can't take a picture with hair curlers you need a camera!

25(Q) 99, this is 9x9x9x9x9x9x9x9x9 or 387,420,489.

25(R) Mount Everest has always been the tallest mountain, even before being discovered!

25(S) 6, he makes 5 originals from the 25 butts he found, and after he smokes them he has 5 butts left for another cigar.

25(T ) The Sequoia. She only likes words with all 5 vowels in them. The Sequoia is the only American tree that contains all 5 vowels.

25(U) One, he may have many Birthdays, but only one birth day!

25(V) Mother, or Mom, or whatever you call your maternal relative.

25(W) They weigh the same. A pound is a pound.

25(X) They will both be the same distance from Paris when they meet!!

25(Y) 9 minutes. It only takes 9 cuts to get 10 equal sections.

31.(E) Pisanello

31.(F) grail

31.(G) Willis

31.(H) 1912

31.(I) Burgess

31.(J) polyhedron

31.(K) I Need a Beat

31.(L) 1856

31.(M) Nietzsche

31.(N) Ferraro

31.(O) 17th

31.(P) Mount Saint Helens

31.(Q) Mustard

31.(R) Joseph

31.(S) Rand

31.(T) capacitor

31.(U) musician

31.(V) Kung Fu

31.(W) Wolfgang

31.(X) Poirot

31.(Y) A=3, B=2, C=5, and D=4. An alternate answer is A=2, B=1, C=8, and D=3, which was found by Jill (no last name specified) & by Sharon Kienzle. Ms. Kienzle also found A=4, B=3, C=2, & D=5.

32.(A) fleeting

32.(B) brother or aunt

32.(C) heart

32.(D) sinister

32.(E) sacred

32.(F) coronation

32.(G) protrude

32.(H) Malice

32.(I) Nero

32.(J) midday

32.(K) anatomist (there are other acceptable 'mist' answers)

32.(L) faerie

32.(M) caravan

32.(N) libretto

32.(O) history

32.(P) Virgil

32.(Q) disaster

32.(R) gravel

32.(S) organ

32.(T) penstock or pipestone

32.(U) zither

32.(V) Orestes (sets were discussed by Cantor)

32.(W) larva

32.(X) balloon

32.(Y) smalto

33.(A) 6. The man made 5 cigarettes from the 25 butts, smoked them, and then made an additional cigarette from the 5 butts that were left from the 5 that he made.

33.(B) 37.

33.(C) The doctor was the boy's mother.

33.(D) You have 1 chance in 17,100,720. The answer can be found by muliplying the chance of the first ball being any particular number, 1/30, by the chance of the second ball being any particular number, 1/29 (since one ball has already been removed from the basket), & then by 1/28, 1/27, & 1/26.

33.(E) The architect is Andy, the barber is Dave, the caseworker is Cedric, and the dentist is Brian.

33.(F) BALLOON. Some balloons contain helium, while a hot air balloon (used for transportation) carries a basket.

33.(G) TIRE. Exhaust & tire are synonyms, & a tire (this problem disadvantages the British, who use tyre) can be found on a wheel.

33.(H) LABYRINTH. Theseus slew the Minotaur in the Labyrinth, & David Bowie was in a movie called the Labyrinth.

33.(I) SHELL. Gasoline is sold by a company with the name Shell, & an egg has a shell.

33.(J) discrete

33.(K) endive

33.(L) langur or hangar

33.(M) osculate (an unintended acceptable answer: copulate)

33.(N) eolian

33.(O) This answer is for 2 weighings. The problem I originally had posted here was for 3 weighings, but since you can complete the problem with 2 weighings, I list only the most efficient method. Place 3 marbles on each pan. If they balance, remove the marbles from the pans, & place 2 of the remaining unweighed marbles on the pans, 1 on each pan. If 1 is heavier, it is the heavier marble, but if they balance, the remaining unweighed marble is the heavier 1. If your first weighing does not balance, remove the marbles from the lighter pan, & place 1 marble on each pan from the heavier pan. The heavier 1 is the 1.5 ounce marble, but if they balance, then the marble from the heavy pan from the first weighing that was not weighed in the second weighing is the heavy 1.

33.(P) There are 2 possible answers, both of which are almost the same:

Answer 1: Andy & Brenda walk together to the house (2 minutes), & Andy returns (1 minute). Carl & Dana walk to the house (10 minutes), & Brenda returns with the umbrella (2 minutes). Andy & Brenda walk to the house again (2 minutes).

Answer 2: Andy & Brenda walk together to the house (2 minutes), & Brenda returns (2 minutes). Carl & Dana walk to the house (10 minutes), & Andy returns with the umbrella (1 minute). Andy & Brenda walk to the house again (2 minutes).

33.(Q) There are 2 possible answers for this puzzle:

Answer 1: You ask 1 of the individuals what the other 1 would say if you asked him or her which door you should open to get to the coffer. In this case, you would open the other door.

Answer 2: You ask 1 of the individuals what the other 1 would say if you asked him or her which door is holding back the hungry lion. In this case, you would open this door.

33.(R) For the chart below, assume A = knave, I = knight, & O = normal.

A B C

A I O

A O I

I A O

I O A

O A I

O I A

The first condition & the last 2 conditions cannot occur because contradictions would occur. In 2 of the second, third, & fourth possibilities, the knight is A, the person who claims to love cats. You would be wisest to bet on A, as there is better than a 66% chance that that individual is a knight.

33.(S) All 4 individuals are knaves. The primary colors are red, yellow & blue for pigments, but for the spectrum they are red, green & blue. This was a tough puzzle if you didn't use reference aids - not many people know these things!

33.(T) 1-333. The reason why is because 200-299 each begins with a 2!

33.(U) There are 64 different possible outcomes, & in 9 of these, exactly 2 of the balls will be red. There is thus a slightly better than 14% chance that exactly 2 balls will be red. A much faster way to solve the problem is to look at it this way. There are 3 scenarios where exactly 3 balls are red:

1 2 3

R R X

R X R

X R R

X is any ball that is not red. There is a 4.6875% chance that each of these situations will occur. Take the first 1, for example: 25% chance the first ball is red, multiplied by a 25% chance the second ball is red, multiplied by a 75% chance the third ball is not red. Because there are 3 scenarios where this outcome occurs, you multiply the 4.6875% chance of any 1 occurring by 3, & you get 14.0625%.

33.(V) This problem can be solved algebraically: 10 (8k + 14l) = 510 and 12 (13k + 6l) = 492. You then isolate 1 variable in 1 equation, & substitute it in the other equation. Kips build 2 tors an hour, & ligs build 2.5 tors an hour.

33.(W) Pretend that A & B are the objects in the juggler's first hand, & C & D are the objects in the juggler's second hand. You thus start out as AB CD, & each step shows the result after each throw (note: some of the objects would not actually reach their destination in the steps in which they are shown arriving):

1. B ACD

2. BC AD

3. C ABD

4. CD AB

5. D ABC

6. AD BC

7. A BCD

8. AB CD

It would take a total of 8 throws to get the objects back into their original positions.

33.(X) The answer is CANTANKEROUS:

A. AROUSE (synonym of EXCITE).

B. KANT.

C. OUNCE.

33.(Y) 359. If you answered 358, you must remember that the fence must begin & end with a post, & dividing 1,432 by 4 leaves one end without a post.

## Dec 25, 2008

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