Important Books:

1. Brain Teasers by George summers

2. Brain Teasers- by Ravi Narula

3. G.R.E . Barrons (few analytical questions)

4. PUZZLES TO PUZZLE YOU - By SHAKUNTALA DEVI

Q.No: [2,3,11,12,17,23,27,37,38,45,51,63,66,108,117,124,128,130,145,148]

5. MORE PUZZLES - By SHAKUNTALA DEVI

Q.No: [193,221,244,275]

 

English SECTION:

 

1.Reading comprehension = 5 questions

2.correction of sentences = 5

3.correct verb completion in the sentences=10

4.spellings

5.sentecnes (exact meanings that match the sentence)

 

Sample Puzzles:

 

1)Find the 3 digit no. whose last digit is the square root of the first digit and second digit is the sum of the other two digits.

And that number is divisible by 2,3,6,7.What is that number?

Ans: 462

 

2)Two people are playing with a pair of dies. Instead of numbers, the dies have different colors on their sides. The first person

wins if the same color appears on both the dies and the second person wins if the colors are different. The odds of their winning

are equal. If the first dice has 5 red sides and 1 blue side, find the colour(s) on the second one.

Ans: 3 red,3 blue

Solution : p(r1)=5/6, p(b1)=1/6,Let x sides are red.

Prob. To get both colors are same => [(5/6)(x/6)+(1/6)(6-x)/6] =1/2, After solving x=3

 

3) A car is traveling at a uniform speed. The driver sees a milestone showing a 2-digit number. After traveling for an hour the

driver sees another milestone with the same digits in reverse order. After another hour the driver sees another milestone containing

the same two digits with a zero in between(0). What is the average speed of the driver.

Ans: 45 kmph

 

4) There are three persons A, B, C. one day they set out in different directions and each one steals an animal.The animals are camel,

horse and a mule though not in the order. A CBI officer catches them and on interrogation he has the following statements:

A says: B has stolen a horse

C says: A is telling wrong, B has stolen a mule.

B says: A and C are both telling wrong. I have stolen nothing.

 

The person stealing a camel tells wrong while the person with a horse tells right. So tell which person steal which animal.

Ans: A: Camel B: Mule c: Horse

 

5) There are 3 societies A, B, C. A Lent Tractors 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. This question was bit differently asked with the same thing.

Ans: A had 39 cars, B had 21 cars C had 12 cars

 

6) The quarter of the time from midnight to present time added to the half of the time from the present to

midnight gives the present time. What is the present time?

Ans: 9hrs past 36 minutes AM

 

10) 8 Kigs and 14 Ligs can do 510 tors of work in10days. 13 Kigs and 6 Ligs can do 484 tors of work in 12 days.

Then find work done by Kigs and Ligs individually in tors/hr?

 

11) A boy is playing a game. He took totally 55 blocks and kept like placing some x number on the ground,next one less than that above

those blocks like that till the topmost one is one, how many blocks are there at the base level?

Ans: 10

 

12) A person traveled ? the of a distance by riding horse. He traveled remaining distance by walk. If he took twice the time to walk as he

rode, how many times he rode faster than he walked?

May 2003

 

13) The below are the statements of 3 persons. If the person's speak only two of the three statements correctly, what are their ages?

A: A is 22. B is 1 yr more than A. C is 1 yr less than A.

B: I am not the youngest. There is 3 yrs difference between me and C. C is 25.

C: A is 23 B > A

 

14) A, B, C, D, E were shirts of colours red, blue, green, yellow and orange respectively. They stood on a ladder. Yellow is not the colour at the

tail end of the ladder. Yellow is between those who wore green and red. Green is between those who wore yellow and orange and who is behind blue.

Which color is at the end of the ladder?

 

15) In a business, A invested 3 1/2 times more than B. They wanted to include C by taking an amount of Rs2500 from C. How should that amount be

divided among A and B such that three of them get the same interest?

 

16) One of the arms of a balance is longer than the other. If 1kg is kept on the left pan, it is equal to 8 water melons. If the 1kg is kept on a a right pan,

it is equal to 2 water melons on right. If the weight of all the watermelons are same, what is the weight of the water melon?

 

17) A person has a son. His son's age is five times his daughter's age. His wife's age is 5 times his son's age. His age is twice his wife's age.

The total of all this ages is equal to his son's grandma's age who celebrated her 81st birthday this year. What is his son's age?

 

18) Tom has given some stamps to A. He asked A about them. A said " They were great. B got 3 more than ? of what she would have got if I kept 3 more

than ? of what she got. Tom asked A "How much did u keep?"

A answered "two more than what I gave B". Find the total no of stamps Tom gave A.?

 

19) Two travelers, one with 64 barrels of wine, other with 20 barrels of wine. They don't have enough money to pay duty for the same.

First traveler pays 40 francs and gives his 5 barrels, Second traveler gives his 2 barrels but gets 40 francs in exchange.

What's value of each barrel, and duty for each barrel?

 

20)What is Ann's relation with her husband's mother's only daughter-in-law's sister's husband?

 

21) Some guy holding a glass of wine in his hand looking around in the room says, "This is same as it was four years ago, how old are your two kids now?"

Other guy says "Three now, Pam had one more in the meanwhile." Pam says, "If you multiply their ages, answer is 96 and if you add the ages of

first two kids,

addition is same as our house number." The first guy says, "You are very smart but that doesn't tell me their ages." Pam says, "It's very simple, just think."

What are the ages of three kids?

 

23)There are seven paintings T, U, V, W, X, Y, Z of which she has to select five for the exhibition. Following are the conditions: a. If T is selected,

X cannot be selected If U is selected, Y must be selected If V is selected, X must be selected

Answer following questions: (4 options for each sub-question, Don't remember options exactly)

(i) Find the correct sequence of exhibits from the following:

(ii) If V is selected then which of the following is true?

(iii) Don't remember this question

(iv) If in the selected sequence one exhibit replaces other without violating conditions, which of the following replacement is possible?

 

24) There are three tribes, Abhor, Dravid and Magar.

a. Abhor women can't marry Dravid man

b. Magar man can't marry Dravid woman

c. Son inherits tribe from his father and a daughter from her mother

d. All other combinations are possible e. There's no wedlock

Four sub-questions for this. Don't remember exactly but were like this: Can abhor and magar couple have dravid descendents, magar daughter, etc.

 

25) Three customers want haircut and a shave. In a saloon, two barbers operate at same speed. They take quarter of an hour for the haircut and 5 mins

for the shave. How quickly can they finish the haircut and shave of these three customers?

 

26)A shopkeeper likes to arrange and rearrange his collection of stamps. He arranges them sometimes in pair, sometimes in bundle of three, sometimes in

bundle of fours, occasionally in bundle of fives and sixes. Every time he's left with one stamp in hand after arrangement in bundles. But if he arranges in the

bundle of seven, he's not left with any stamp. How many stamps does a shopkeeper have?

 

27)Three different types of objects in a bucket. How many times does one need to select object from the bucket to get atleast 3 objects of the same type?

 

28) I spent one-sixth of my age as a boy and one-12th in youth, remarked the boss" spent one-seventh and five years in matrimony".

My son born just after that period was elected as a governor 4 years back when he was half of my present age. what is the age of the boss?

Ans:-84

 

29) A girl had several dollars with her. she went out for shopping and spent half of them in shopping mall,being generous she had given 1 dollar to

the beggar. After that she wqent for lunch and spent the half of the remaining and gave 2 dollars as tip to the waiter.Then she went to watch a movie and

spent the half of remaining dollars and gave autorikshaw-wala 3 dollars.This left her with only 1 dollar.How many dollars did she had with her at the beggining.

 

30)couples were there ,B ,E,C. and G, H, M ,Bill,Eds and Cleo husbands and Grace,Helen and Marry wives, not in order.went to play 18 points golf .

1.GHM and E scored 100,102,106 and 94 respectively.

2.B and C either scored 98 and 96 and had written there scores in cards which they lost .but when found them back,they found that the two couples had

the sAME TOTAL.

3.eDS WIFE DEFEATED bILLS WIFE. Tell the combinations?

This is a collection of Infosys questions complied by Yahoo Groups....

 

1. Three neighbors are there. 1st one lends 2nd and 3rd that many no. of tractors that then already each had. After few months, 2nd lends to 1st and 3rd that many tractors then they had. After a few months 3rd lends to 1st and 2nd that many tractors then they had. Now each of them got 24. Find how many they had initially?

 

Ans: 39 21 12

 

2. 3 members expect which will be the elected party among 4 parties namely Flying party, Eatwell, Good sleep, Loosing parties

 

X expects that either f.p or e.w.p will win.

 

Y expects that either f.p or g.s will win

 

Z expects that neither e.w.p nor g.s.p will win

 

One part of each members statement is correct. Which party will win?

 

Ans: F.P

 

3. Three members are hunting in a forest.While crossing a streem cartridges of two of them gets wetted up.Then the third person diviides his cartidges equally. After 4 shots of each person, total cartridges remaining are equal to what each had initially after sharing. How many total cartridges they initially they shared?

 

Ans: 18

 

Y

 

Y/3 Y/3 Y/3

 

Y/3-4 Y/3-4 Y/3-4

 

3(Y/3-4) =Y/3

 

Y=18

 

4. All members belonging to D are members of A

 

do........................E.................D

 

do........................C.................both A&D

 

Some members of A does not belong to D

 

do...............D......................E

 

5 questions are there.

 

5. Boys are allowed to watch football at c.v.Raman auditorium subjected to conditions.

 

1. the boy over age 16 can wear overcoat

 

2. no boy over age 15 can wear cap

 

3. to watch the football either he has to wear overcoat or cap or both

 

4. a boy with an umbrella or above 16 or both cannot wear sweater.

 

5. boys must either not watch football or wear sweater.

 

What is the appearance of the boy who is watching football.

 

Ans:Who are above 15 and below 16 with cap. :

 

1.My neighbor has seven children. Every brother has equal no. of brothers and sisters, but each sister has twice as many brothers as sisters?

 

Ans: 4,3

 

2.There are 11more animals than birds in a pet shop. If there are as many birds as animals and if there are as many animals as birds the no. of legs is 4/5 of the original. How many birds and animals are there?

 

Ans: 22,11

 

3. One soap can be made out of the scraps obtained while preparing 11 soaps.How many soaps can be prepared out of the scrap obtained out of 251 soaps. (Take all possibilities)

 

Ans: 25

 

4. There is a 5digit no. 3 pairs of sum is eleven each.

 

Last digit is 3 times the first one.

 

3 rd digit is 3 less than the second.

 

4 th digit is 4 more than the second one.

 

Find the digit.

 

Ans : 25296.

 

5. 2XX

 

3XX

 

---

 

5XX

 

X4X

 

XX3

 

-------

 

XXXXX

 

-------

 

Find out the X's and seven is not there in the calculation.

 

Ans: 281x332

 

6. 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?

 

Ans:31

 

7. 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?

 

Ans: 0.8

 

8. There is 66x33m rectangular area. Ram is 11/8 times faster than Krishna. Both of them started walking at opposite ends and they met at some point then, Ram said "See you in the other end" Then they continued walking. After some time Ram thought he will have tea so he turned back walked back 15 meters then he changed his mind again and continued walking .How much Krishna has traveled by the time they meet?

 

9. There are some chicken in a poultry. They are fed with corn. One sack of corn will come for 9 days. The farmer decides to sell some chicken and wanted to hold 12 chicken with him. He cuts the feed by 10% and sack of corn comes for 30 days. So initially how many chicken are there?

 

Ans:36

 

10.Escalator Problem. 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?

 

Ans:46

 

1. There are 4 married couples out of which 3 a group is needed . But there should not be his of her spouse. How many groups are possible ?

 

Ans 32

 

2. In the 4 digits 1,2,3,4 how many 4 digested numbers are possible which are divisible by 4? Repetitions are allowed

 

Ans 64

 

3. Two men are going along a track rail in the opposite direction. One goods train crossed the first person in 20 sec. After 10 min the train crossed the other person who is coming in opposite direction in 18 sec .After the train has passed, when the two persons will meet?

 

Approx 72min check it once.

 

4. The no. of children adults . The no .of adults the no .of boys . The no. of boys no. of girls .The no. of girls no. of family conditions

 

1. No family is without a child

 

2. Every girl has at least one brother and sister .

 

Ans cabgf; 9 6 5 4 3 .

 

6. There are 4 boys Anand, Anandya, Madan and Murali with nick names perich, zomie, drummy and madeena not in the same order. Some conditions

 

Ans Anand : Perich

 

Anandya: Drummy

 

Madan : Zombie

 

Murali: Madeena

 

7. There are 2 diamonds, 1 spade and 1 club and 1ace and also 1 king , 1 jack and 1 ace are arranged in a straight line

 

1.The king is at third place

 

2.Theleft of jack is a heart and its right is king

 

3.No two red colors are in consecutive.

 

4.The queens are separated by two cards. Write the order which suits (hearts ,clubs )and names jacks queens etc.)

 

8. Write each statements true or false

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

 

1.The sum of the1st three statements and the 2nd false statement gives the true statement.

 

2.The no. of true statements false statement

 

3. The sum of 2nd true statement and 1st false statement gives the first true statement.

 

4. There are at most 3 false statements

 

5.There is no two consecutive true statements

 

6.If this contains only 1-5 statements, the answer of this is same as the an answer of the following question

 

9.Question on Venn diagram.

 

All handsome are also fair skinned

 

Some muscular are fair skinned

 

Some muscular are also handsome

 

All lean are also muscular

 

Some lean are also fair skinned.

 

All rich man is not fair skinned but all rich man are handsome

 

10 There are 3 piles each contain 10 15 20 stones. There are A,B,C,D,F,G and H persons. One man can catch unto four stones from any pile. The last man who takes will win. If first A starts next B. and so on who will win?

 

Ans May be F

 

Essay writing

 

1 Internet revolution

 

2.Media for youth

 

1. 9 cards are there. u have to arrange them in a 3*3 matrix. cards are of 4 colors. they are red,yellow,blue,green.

 

conditions for arrangement:

 

one red card must be in first row or second row.

 

2 green cards should be in 3rd column.

 

Yellow cards must be in the 3 corners only.

 

Two blue cards must be in the 2nd row.

 

At least one green card in each row.

 

Solution:

 

Yellow Red Green

 

Blue Blue Green

 

Yellow Green Yellow

 

2. 4 cards are placed on a table, each card has two colors. U don't know the color of the back side of each card.4 persons A B C and D are sitting on the table before the cards. They can see Red, Green, Red and blue .Out of the 4 people 2 always lie. They see the color on the reverse side and give the following comment

 

A: Yello/green

 

B: Neither Blue/nor Green

 

C: Blue/Yello

 

D: Blue/ Yello

 

find out the color on the other side of the 4 cards.

 

3. Red and brown tribes [FROM BARRONS GRE] Conditions to get married with each other.

 

4. Venn diagram regarding Rich, muscular, soft-skinned, employed, etc.,( Refer BARRONS GRE GUIDE)

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5

 

1. Two people X & Y walk on the wall of a godown in opposite direction. They meet at a point on one side and then go ahead. X after walking for some time, walks in opposite direction for 15 mtrs. Then again he turns back and walks in the original direction. What distance did Y walk before they met again, if X walks 11 mtrs by the time Y walks 8 mtrs.

 

2. Problem from SAKUNTALA DEVI 'PUZZLES TO PUZZLE U'. Problem no: 23( Walking back to happiness.)

 

The walking time : 55 mins.

 

1. There are twelve consecutive flags at an equal interval of distance. A man passes the 8th flag in 8 seconds. How many more seconds will he take to pass the remaining 4 flags ?

 

2. A person has to cover the fixed distance through his horses. There are five horses in the cart. They ran at the full potential for the 24 hours continuously at constant speed and then two of the horses ran away to some other direction. So he reached the destination 48 hours behind the schedule. If the five horses would have run 50 miles more, then the person would have been only 24 hours late. Find the distance of the destination.

 

3. A boat M leaves shore A and at the same time boat B leaves shore B. They move across the river. They met at 500 yards away from A and after that they met 300 yards away from shore B without halting at shores. Find the distance between the shore A & B.

 

4. A person was going through train from Bombay to Pune. After every five minutes he finds a train coming from opposite direction. Velocity of trains are equal of either direction. If the person reached Pune in one hour then how many trains he saw in the journey ?

 

5. Food grains are to be sent to city from godown. Owner wants to reach the food grains at 11 O' Clock in the city. If a truck travels at a speed of 30km/hr then he will reach the city one hour earlier. If the truck travels at a speed of 20km/h then he will reach the city one hour late. Find the distance between the godown to city. Also with which speed the truck should travel in order to reach at exactly 11 'O clock.

 

6. Praveen, Ranjan, Shiva went to dinner in the city. (There were some conditions given as someone always take tea after dinner where as some take coffee after dinner whereas someones choice is inspired by the choice of others. One question of this type is given given in the MIND TEASURES -By Summers.)

 

Ans: Ranjan & Shiva

 

7. There are five persons A,B,C,D,E whose birthdays occur at the consecutive days. Birthday of A is some days or day before C & birthday of B is exactly the same days or day after E. D is two days older than E. If birth day of C is on Wednesday then find out the birthdays of other.

 

1. Statements given by different family members.

 

1. B is my father's brother

 

2. E is my mother-in-law.

 

3. C is my son-in -law's brother

 

4. A is my brother's wife.

 

A,B,C,D,E are the family members. Who made above statements and give their relations.

 

Ans: A,B are couple.

 

E is B's brother-in-law.

 

D is B's son.

 

C is B's brother

 

Ans: statement Member

 

1 D

 

2 B

 

3 E

 

4 B

 

2. e means belong.

 

All members of E e D.

 

All members of D e A.

 

Not all members of D e E.

 

Not all members of A e D.

 

All members of C e both A and B.

 

some questions are asked about relation. use venn diagram.

 

3. Fill the empty slots. Three FOOTBALL teams are there. Given below the list of matches. you have to fill the blanks at appropriate star symbols

 

played won lost draw Goals for Goals against

 

A 2 2 *0 *0 *7 1

 

B 2 *0 *1 1 2 4

 

C 2 *0 *1 *1 3 7

 

the slots with stars are answers. 4 marks

 

BC drew with 2-2

 

A won on B by 2-0

 

a won on C by 5-1

 

4. Three girls are discussing about the party which they attended in the past.

 

1st girl: Party was on May 8Th , Thursday.

 

2nd girl: Party was on May 10th ,Tuesday.

 

3rd girl: Party was on June 8th Friday.

 

Conditions:

 

1.One girl's statement totally wrong.

 

2.In one girl's statement only one part is correct( means it may be date, year or month).

 

3.In another girl's statement except one part , every thing is true.

 

Find the Day the party held. (5marks).

 

Ans :May 8th Tuesday may be correct) (ans may be MAY 10 SUNDAY. check once again)

 

5. A ship is away from the shore by 180 miles. A plane is traveling at 10 times speed of the ship. How long from the shore will they meet? (200miles) Distance travelled by plane = 1/10 distance traveled by ship + 180

 

6. Every station in N railroad issue every other station's ticket. some stations are added. Now they have to issue 46 more tickets. say the No. of stations after and before added.

 

Ans. let N(N-1) = t;

 

(N+x)(N+x-1) = t+46;

 

trail and error method x=2 and N=11

 

7. 3 persons say these statements.

 

A says either Democratic or liberal wins the elections.

 

B says Democratic wins.C says neither democratic nor liberal wins the election.

 

Of these only one is wrong. who wins the election?

 

8. A clock showing 6 o'clock takes 30 secs to strike 6 times. How long will it take to strike 12 at midnight?

 

Ans.66 secs.

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5

 

1. A software engineer starts from home at 3pm for evening walk. He walks speed of 4kmph on level ground and then at a speed of 3kmph on the uphill and then down the hill at a speed of 6kmph to the level ground and then at a speed of 4kmph to the home

 

If he reaches home at 9pm. What is the distance on the way

 

ans 24 km

 

2. A bag contains certain number of files, Each file is numbered with one digit of 0 to 9. Suppose the person wants to get the number between 1 to 2000(or 7000 check). How many minimum no. of files should be present in the bag.

 

3. A + B + C +D = D + E + F + G = G + H + I =17. If A = 4. What are the values of D and G. Each letter taken only one of the digit from 1 to 9.

 

ans: A = 4 ,B = 2, C =6, D = 5, E = 3, F = 8, G = 1, H = 7, I = 9.

 

4. Six persons A,B,C,D,E &F went to soldier cinema. There are six consecutive seats. A sits in the first seat followed by B, followed by C and so on. If A taken on of the six seats, then B should sit adjacent to A. C should sit adjacent to A or B. D should sit adjacent to A, B or C and so on. How many possibilities are there ?

 

5. Suppose there are four grades A, B, C, D. (A is the best and D is the worst) 4 persons Jack, Jean, Poul and Lucy wrote the final exam and made the statements like this

 

1. Jack: If I will get A then Lucy will get D

 

2. Lucy: If I will get C then Jack will get D. Jack grade is better than Poul grade.

 

3. Jean: If Jean doesn?t get A then Jack will not get A

 

4. Poul: If Jack get A, then Jean will not get B, Lucy will get C, I won?t either A or B

 

If all the above statements are true, then which person will get which grade.

 

6. Each man dances with 3 women, Each women dances with 3 men. Among each pair of men they have exactly two women in common. Find the no. of men and women.

 

Essay.

 

1. Internet Revolution

 

2. Role of Media for young

 

1. A man collects cigarette stubs and makes one full cigarette with every 8 stubs. If he gets 64 stubs how many full cigarettes can he smoke.

 

Ans: 8+1=9

 

2. A soldier looses his way in a thick jungle. At random he walks from his camp but mathematically in an interesting fashion. First he walks one mile East then half mile to North. Then 1/4 mile to West, then 1/8 mile to South and so on making a loop. Finally how far he is from his camp and in which direction.

 

Ans: Distance traveled in north and south directions

 

1/2 - 1/8 + 1/32 - 1/128 + 1/512 - and so on

 

= 1/2/((1-(-1/4))

 

Similarly in east and west directions

 

1- 1/4 + 1/16 - 1/64 + 1/256 - and so on

 

= 1/(( 1- ( - 1/4))

 

Add both the answers

 

3. How can 1000000000 be written as a product of two factors neither of them containing zeros

 

Ans: 2 power 9 x 5 power 9

 

4. Conversation between two mathematicians:

 

First : I have three children. The product of their ages is 36.

 

If you sum their ages, it is exactly same as my neighbor's door number on my left.

 

The second mathematician verifies the door number and says that it is not sufficient.

 

Then the first says " Ok one more clue is that my youngest is really the youngest". Immediately the second mathematician answers .

 

Can you answer the question asked by the first mathematician?

 

What are the children ages?

 

Ans 1,6 and 6

 

5. Light glows for every 13 seconds . How many times did it glow between 1:57:58 and 3:20:47 am.

 

Ans : 383 + 1 = 384

 

6. 500 men are arranged in an array of 10 rows and 50 columns according to their heights.

 

Tallest among each row of all are asked to fall out.

 

And the shortest among them is A.

 

Similarly after resuming that to their original positions that the shortest among each column are asked to fall out.

 

And the tallest among them is B .

 

Now who is taller among A and B ?

 

Ans A

 

7. A person with some money spends1/3 for cloths, 1/5 of the remaining for food and 1/4 of the remaining for travel.

 

He is left with Rs 100/- How much did he have with him in the beginning ?

 

Ans: Rs 250/-

 

8. There are six boxes containing 5 , 7 , 14 , 16 , 18 , 29 balls of either red or blue in color. Some boxes contain only red balls and others contain only blue. One sales man sold one box out of them and then he says

 

" I have the same number of red balls left out as that of blue ".

 

Which box is the one he solds out ?

 

Ans: Total no of balls = 89 and (89-29 /2) = 60/2 = 30 and also 14 + 16 = 5 + 7 + 18 = 30

 

9. A chain is broken into three pieces of equal lengths containing 3 links each. It is taken to a blacksmith to join into a single continuous one. How many links are to to be opened to make it ?

 

Ans : 2.

 

10. Grass in lawn grows equally thick and in a uniform rate. It takes 24 days for 70 cows and 60 days for 30 cows to eat the whole of the grass. How many cows are needed to eat the grass in 96 days.?

 

Ans : 20

 

g - grass at the beginning

 

r - rate at which grass grows, per day

 

y - rate at which one cow eats grass, per day

 

n - no of cows to eat the grass in 96 days

 

g + 24*r = 70 * 24 * y

 

g + 60*r = 30 * 60 * y

 

g + 96*r = n * 96 * y

 

Solving, n = 20.

 

11. There is a certain four digit number whose fourth digit is twice the first digit. Third digit is three more than second digit. Sum of the first and fourth digits twice the third number. What was that number ?

 

ans : 2034 and 4368

 

1. From a vessel on the first day, 1/3rd of the liquid evaporates. On the second day 3/4th of the remaining liquid evaporates. what fraction of the volume is present at the end of the II day. Ans 50%

 

Another similar question

 

X liters of liquid is in a glass. First day 1/3 rd of it was evaporated. II nd day 1/2 of the rest was evaporated. What is the last fraction of liquid. For this answer is 1/3

 

2. An orange glass has orange juice. and white glass has apple juice. Both have equal volume. 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?

 

ans: two quantities are equal

 

3. There is a 4 inch cube painted on all sides. This is cut into no of 1 inch cubes. What is the no of cubes which have no pointed sides.

 

ans: 8

 

4. 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 me. Now Sam says you are at least 39. All the statements by the two are false. How hold are they really.

 

ans: Mala is 38 years. Sam is 41 years.

 

5. Ram singh goes to his office in the city, every day from his suburban house. His driver Mangaram drops him at the railway station in the morning and picks him up in the evening. Every evening Ram singh reaches the station at 5 o'clock. Mangaram also reaches at the same time. one day Ramsingh started early from his office and came to the station at 4 o'clock. Not wanting to wait for the car he starts walking home. Mangaram starts at normal time, picks him up on the way and takes him back house, half an hour early. How much time did Ram singh walk.

 

Ans: 45 minutes

 

6. Some people went for vacation. unfortunately it rained for 13 days when they were there. But whenever it rained in the morning, they had clean afternoon and vice versa. In all they enjoyed 11 morning and 12 afternoons. How many days did they stay there totally

 

ans 18

 

7. A survey was taken among 100 people to find their preference of watching t.v. programmes. There are 3 channels. Given no of

 

people who watch

 

at least channel 1

 

" " 2

 

" " 3

 

no channels at all

 

atleast channels 1and 3

 

" " 1 and 2

 

" " 2 and 3

 

find the no of people who watched all three.

 

8. Albert and Fernandes have two leg swimming race. Both start from opposite and of the pool. On the first leg, the boys pass each other at 18 mt from the deep end of the pool. During the II leg they pass at 10 mt from the shallow end of the pool. Both go at const speed. But one of them is faster. Each boy rests for 4 sec to see at the end of the I leg. What is the length of the pool.

 

9.. T H I S Each alphabet stands for one

 

I S digit, what is the maximum value T

 

-------------- can take

 

X F X X

 

X X U X

 

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

 

X X N X X

 

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

 

ans T max value = 4

 

1. 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.

 

ans: 150 steps

 

2. 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. Cyclist travels with a speed of 10 Kmph. One day the cyclist comes late by 25 min. and meets the train 5km before the crossing. What is the speed of the train.

 

ans: 60 kmph

 

3. Five persons Muckarjee, Misra, Iyer, Patil and Sharma, all take their first or middle names in the full names. There are 4 persons having I or middle name of kumar, 3 persons with Mohan, 2 persons with dev and 1 anil.

 

--Either mukherjee and patil have a I or middle name of dev or misra and iyer have their I 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 of sharma has a I or middle name of kumar hut not both.

 

who has the I or middle name of anil

 

ans: Mukherjee

 

Anil Kumar Mukherjee

 

Kumar Misra dev

 

Mohan Iyer dev

 

kumar Patil mohan

 

Mohan Sharma kumar

 

5. A bird keeper has got P pigeon, M mynas and S sparrows. The keeper goes for lunch leaving his assistant to watch the birds. suppose p=10, m=5, s=8

 

a. when the bird keeper comes back, the assistant informs that x birds have escaped. The bird keeper exclaims oh no! all my sparrows are gone. How many birds flew away.

 

b. when the bird keeper come back, the assistant told him that x birds have escaped. The keeper realised that atleast 2 sparrows have escaped.

 

What is minimum no of birds that can escape.

 

6. Select from the five alternatives A,B,C,D,E

 

At the end of each question , two conditions will be given. The choices are to filled at follows.

 

a. if a definite conclusion can be drawn from condition 1

 

b. if a definite conclusion can be drawn from condition 2

 

c. if a definite conclusion can be drawn from condition 1 and 2

 

d. if a definite conclusion can be drawn from condition 1 or 2

 

e. no conclusion can be drawn using both conditions

 

1. person 1 says N<5

 

person 2 says n>5

 

person 3 says 3N>20

 

person 4 says 3n>10

 

person 5 says N<8

 

what is the value of N

 

a) 1. no of persons who speak false being less than no of persons who tells the truth.

 

2. person 2 is telling the truth.

 

b) 1. no of persong telling the truth is greater than no of persons telling lies

 

2. person 5 is telling the truth.

 

7. There are N coins on a table. There are two players A&B. You can take 1or 2 coins at a time. The person who takes the last coin is the loser. A always starts first

 

--1. if N=7

 

a) A can always win by taking two coins in his first chance

 

b) B can win only if A takes two coins in his first chance.

 

c) B can always win by proper play

 

d) none of the above

 

--2. A can win by proper play if N is equal to

 

a) 13 b) 37 c) 22 d) 34 e) 48 ans. e.

 

--3. B can win by proper play if N is equal to

 

a) 25 b)26 c) 32 d) 41 e) none

 

--4. if N<4, can A win by proper play always

 

8. 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

 

ans: today is tuesday

 

1. There are 4 parties A,B,C,D. There are 3 people x,y,z.

 

X-says A or D will win.

 

Y-says A will not win.

 

Z-says B or D will not win.

 

Only one of them is true. Which party won.

 

2. A gardener has a peculiar way of planting trees. He plants 100 ft. towards east, then he plants 100ft. towards north 100ft. towards west, 98fts towards south. From that 98fts towards east, from that point 96fts towards north. When a man starts walking in the middle of the path outside garden. What is the total distance he traveled to reach the centre.

 

Ans. 5200.

 

3. There is a T-agency in Mangalore and Bangalore. Total time taken in 9hrs. Trucks starts from both points at 6 a.m to 9 a.m in one hr intervals.

 

a. The truck when starts at 6 a.m in the morning mets how many trucks on the way.

 

b. How many trucks a truck which starts at 9 p.m will meet.

 

For a and b Ans.9

 

4. Ramesh has X rupees, on Monday beginning of the month. On every Monday his mother gives 10 rupees as pocket money. He spends half of what he had during that week on the 4th Monday of the month, when his mother gave his pocket Monday, he had 27 1/2 rupees . What was the Money he had in the beginning.

 

Ans. 70/-

 

5. R,S,T,U,V are contesting for a medal. Evaluation is over, sasy English, Maths, Physics, Chemistry and Hindi. Toper will get 5 marks, least will get 1mark. No ties any where. R get 24 and won the overall medal. V-get I st in Chemistry and 3 rd in Hindi, T got consistent scores in 4 subjects. Their final standings where in the alphabetical order. What was the score of S in Chemistry.

 

6. There are 3 types of castes, say A,B,C. A- always tells truth, B- always false, C- alternating.

 

X says --> Z is of C type, I am of A type

 

Y says --> X is a B type.

 

Z says --> X is of B type.

 

Who is of which type.

 

7.. There are two families Sinha and Gupta with 2 children each. Pratap, Praveen, Lalit and Rajesh are 4 children. Each family has 2 children. All the children ages are approx. to the nearest integer. We have to find which all children are in which family and their corresponding ages which are <11.

 

1. Praveen is the eldest one.

 

2. Pratap is 5 years older then the youngest of the family .

 

3. Lalit is 1/2 of the age of the eldest of the Gupta family.

 

8. In a bank there is a Teller, Manager and Cashier says x,s etc.,

 

1. Teller is one who earns least

 

2. X has married S's sister.

 

3. Cashier earns more than manager.

 

Find out who is who.

 

ans. Cashier's wife is manager, X is the cashier, S is sister of the manager.

 

1. There is a robbery and four persons are suspected. Out of them one is actual thief, these are the sentences said by each one of them!

 

A says D had done

 

B says A had done

 

C says i didn?t done

 

D B lied when he said that I am thief

 

out of these only one man is true remaining are false

 

ans: C is thief, D is true!

 

2. How many four digit numbers divisible by four can be formed using 1,2,3,4; repetitions are not allowed!

 

ans: 6

 

3. A vender sold two things at same cost of 12 RS with one item at 25%profit and other at 20%loss,by this transaction he made profit or loss by how much

 

ans: loss - 60paise

 

4. Two friends A,B are running up hill and then to get down! length of road is 440 yards A on his return journey met B going up at 20 yards from top, A has finished the race 5 minutes earlier than B, then how much time A had taken to complete the race.

 

Ans: 6.3 minutes

 

5. Barons question. diagnostic test question 8-12, 5 men and 5 women went for foot ball match.........

 

6. Write a five digit number, which will be having two prime numbers, and some two more conditions, like 1st digit greater than 2nd etc its easy (remember one is not a prime number, most people do mistake taking 1 as prime number)

 

ans 71842

 

7. Two employees were there.

 

Employee one says to employee two, ?your work experience twice as me?

 

Employee 2 says, ?exactly?

 

Employee 1 says, ?but two years before you said that your work experience is thrice as me?

 

Employee 2 says, ?yes its also true?

 

What are their work experience

 

ans 4,8

 

8. Ther are four persons A,B,C,D and four languages english ,french ,german italian, conditions

 

1 only one language is spoken by more than two men

 

2 A dont know english

 

3 a man can speak either french or german but not both

 

4 all man cannot speak in a group(no common language)

 

5 A can mediate when B and C want to speak with each other

 

6 each men can speak two languages

 

ans

 

A french italian

 

B english french

 

C german italian

 

D german italian

 

9. There are 3 women, they are having three jewels, named diamond, emerald and ruby

 

3 women A,B,C

 

3 thiefs D,E,F

 

Each thief had taken one jewel from each of the women following conditions

 

one who had taken diamond is the bachelor and most dangerous

 

D 's brother in law E who is less dangerous than the thief who had stolen emerald (this is the key from this E had stolen ruby)

 

D didn?t stolen from B

 

one more condition is there

 

10. There were five persons out of which two persons hair went white and three persons hair is black. Conditions :

 

If A's hair is white then B's hair is white

 

A?s hair is not blak if C's hair is not black

 

two more conditions but we can easily solve it from first condition

 

ans is Aand B's hair is white

 

Essay

 

In this age of super computer computer will replace man!

 

What is contribution of industry towards human growth

 

Interview questions!

 

1 Two time glases 7,4 how you measure 9

 

2 Four persons have to cross the bridge they are having one torch light four persons take 1,2,5,10 minutes respectively , when two persons are going it will take the time of the slowest person. What?s the time taken to cross all of them

 

ans 17minutes

 

3 A non uniform rope burns for one hour how you will measure half an hour

 

ans lit it from both sides!

 

1. There are two balls touching each other circumferencially. The radius of the big ball is 4 times the diameter of the small

 

ball.The outer small ball rotates in anticlockwise direction circumferencially over the bigger one at the rate of 16 rev/sec.

 

The bigger wheel also rotates anticlockwise at Nrev/sec. what is 'N' for the horizontal line from the centre of small wheel always

 

is horizontal.

 

2. 1 2 3 4

 

+ 3 4 5 5

 

----------

 

4 6 8 9

 

- 2 3 4 5

 

----------

 

2 3 4 4

 

+ 1 2 5 4

 

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

 

3 6 9 8

 

Strike off any digit from each number in seven rows (need not be at same place) and combine the same operations with 3 digit numbers to get the same addition. After this strike off another digit from all and add all the No.s to get the same 2 digit No. perform the same process again with 1 digit No.s. Give the ' no.s in 7 rows at each stage.

 

3. There are 2 guards Bal and Pal walking on the side of a wall of a wearhouse(12m X 11m) in opposite directions. They meet at a point and Bal says to Pal "See you again in the other side". After a few moments of walking Bal decides to go back for a smoke but he changes his direction again to his previous one after 10 minutes of walking in the other (opposite) direction remembering that Pal will be waiting for to meet. If Bal and Pal walk 8 and 11 feet respectively, how much distance they would have traveled before meeting again.

 

4. xxx)xxxxx(xxx

 

3xx

 

-------

 

xxx

 

x3x

 

------

 

xxx

 

3xx

 

------

 

Find the 5 digit No. Hint: 5 is used at least once in the calculation.

 

5. A fly is there 1 feet below the ceiling right across a wall length is 30m at equal distance from both the ends. There is a spider 1 feet above floor right across the long wall equidistant from both the ends. If the width of the room is 12m and 12m, what distance is to be traveled by the spider to catch the fly? if it takes the shortest path.

 

6. Ramesh sit around a round table with some other men. He has one rupee more than his right person and this person in turn has 1 rupee more than the person to his right and so on, Ramesh decided to give 1 rupee to his right & he in turn 2 rupees to his right and 3 rupees to his right & so on. This process went on till a person has 'no money' to give to his right. At this time he has 4 times the

 

money to his right person. How many men are there along with Ramesh and what is the money with poorest fellow.

 

7. Question related to probabilities of removing the red ball from a basket, given that two balls are removed from the basket and the other ball is red. The basket contains blue,red,yellow balls.

 

8. Venkat has 1 boy & 2 daughters. The product of these children age is 72. The sum of their ages give the door number of Venkat. Boy is elder of three. Can you tell the ages of all the three.

 

1. L:says all of my other 4 friends have money

 

M:says that P said that exact one has money

 

N:says that L said that precisely two have money

 

O:says that M said that 3 of others have money.

 

P:Land N said that they have money.

 

All are liers.Who has money & who doesn't have?

 

2. A hotel has two wings, the east wing and the west wing. some east wing rooms but not all have an ocean view(OV).All WW have a harbour view(HV).The charge for all rooms is identical, except as follows

 

* Extra charge for all HV rooms on or above the 3rd floor

 

* Extra charge for all OV rooms except those without balcony

 

* Extra charge for some HV rooms on the first two floor&some EW rooms without OV but having kitchen facilities.

 

Which of the following cannot be determined on the basis of the nformation given:

 

I. Whether there are any rooms without a balcony for which an extra charge is imposed.

 

II. Whether any room without a kitchen or a view involves an extra charge.

 

III. Whether two extra charges are impsed for any room.

 

(A) I only

 

(B) II only

 

(C) III only

 

(D) II and III only

 

(E) I, II and III

 

(This question is from 1999 Barrons GRE Guide model Test 3 - section 6, question 22)

 

ans: A

 

3. Post man has a data of name surname door no.pet name of 4 families. But only one is correct for each family. There are a set of statements & questions.

 

4. 4 couples have a party. Depending on the set of statements, find who insulted whom and who is the host of the party.

 

5. Women given some of their heights(tall,medium,short),hair(long, plainted),studs(Black or Brown), sari,2 medium,2-short.Tall->no sari.Plainted->medium.Answer the combinations.

 

1. A person has to go both Northwards & Southwards in search of a job. He decides to go by the first train he encounters. There are trains for every 15 min both southwards and northwards. First train towards south is at 6:00 A.M. and that towards North is at 6:10 .If the person arrives at any random time, what is the probability that he gets into a train towards North.

 

2. A person has his own coach & whenever he goes to railway station he takes his coach. One day he was supposed to reach the railway station at 5 O'clock. But he finished his work early and reached at 3 O'clock. Then he rung up his residence and asked to send the coach immediately. He came to know that the coach has left just now to the railway station. He thought that he should not waste his time and started moving towards his residence at the speed of 3miles/hr. On the way, he gets the coach and reaches home at 6 o'clock. How far is his residence from railway station.

 

1. Persons A and B. Person A picks a random no. from 1 to 1000.Then person B picks a random no. from 1 to 1000. What is the probability of B getting no. greater then what A has picked.

 

2. Some free body diagram is given

 

3 | 9

 

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

 

2 | 4 |

 

~~~~~~~~~~~~~~~~~ C

 

| 5 | 9

 

15 ~~~~~~~~~~~~~~~~

 

3 | 2 |

 

~~~~~~~~ 80

 

| |

 

A B

 

For equilibrium find values of A,B,and C.

 

3. Three boys and three girls brought up together. Jim, Jane, Tom, Virgina, Dorthy, XXX.

 

They marry among themselves to form three couples. Conditions are :

 

i) Sum of their ages would be the same.

 

ii) Virgina was the oldest.

 

iii) Jim was dorthy's brother.

 

iv) Sum of ages Jane+Jim and Tom+dorthy is same.

 

Give the three couples.

 

4. X^(1/3) - X^(1/9) =60 Solve for X.

 

5. X Z Y+X Y Z = Y Z X Find the three digits.

 

6. Two boats start from opposite banks of river perpendicular to the shore. One is faster then the other. They meet at 720 yards from one of the ends. After reaching opposite ends they rest for 10mins each. After that they start back. This time on the return journey they meet at 400yards from the other end of the river. Calculate the width of the river.

 

7. Basketball Tournament organizers decided that two consecutive defeats will knock out the team. There are 51 teams participating. What is the maximum no. of matches that can be played.

 

8. The Master says to his grandmaster that me and my three cousins have ages in prime nos. only. Summation of our ages is 50. Grandmaster who knows the age of the master instantly tells the ages of the three cousins. Tell the ages of three cousins.( 1 is not considered as prime no.)

 

9. There are two families Alens and smiths. They have two children each. There names are A,B,C,D whose ages are different and ages are less then or equal to 11. The following conditions are given.

 

i) A's age is three years less then his brother's age .

 

ii) B is eldest among the four.

 

iii) C is half the age of the eldest in Alens family.

 

iv) The difference in sum of the ages of Alens children and smiths children is same as that of five years ago. Find the ages of all the children.

 

1. be * be = acb. a,b,c,e are non zero numbers find b,e.

 

ans b=1 e=9

 

2. a,b,c,d,e are having numerical values. There are some conditions given

 

a) a=c <=== b!=e

 

b) difference between a and c as same as difference between c and b

 

as same as difference between a and d

 

c) c

 

Then find a,b,c,d,e

 

3. There are six cards in which it has two king cards. all cards are turned down and two cards are opened

 

a) what is the possibility to get at least one king.

 

b) what is the possibility to get two kings.

 

4. A person went to a shop and asked for change for 1.15paise. but he said that he could not only give change for one rupee, but also for 50p,25p,10p and 5p. what were the coins he had

 

ans 1--50 4---10p 1---25p

 

5. There are 3 nurses and they work altogether only once in a week. no nurse is called to work for 3 consecutive days.

 

nurse 1 is off on tueseday,thursday and sunday.

 

nurse 2 is off on saturday.

 

nurse 3 is off on thursday,sunday.

 

no two nurses are off more than once a week.

 

Find the day on which all the 3 nurses were on work.

 

6. There are 5 persons a,b,c,d,e and each is wearing a block or white cap on his head. a person can see the caps of the remaining 4 but can't see his own cap. a person wearing white says true and who wears block says false.

 

i) a says i see 3 whites and 1 block

 

ii) b says i see 4 blocks

 

iii) e says i see 4 whites

 

iiii) c says i see 3 blocks and 1 white.

 

Now find the caps weared by a,b,c,d and e

 

7. There are two women, kavitha and shamili and two males shyam, aravind who are musicians. out of these four one is a pianist, one flutist, violinist and drummer.

 

i) across aravind beats pianist

 

ii) across shyam is not a flutist

 

iii) kavitha's left is a pianist

 

iiii) shamili's left is not a drummer

 

v) flutist and drummer are married.

 

1. A frog jumps 3 ft comes back 2ft in a day. In how many days it will come out of 30ft deep well

 

ans 28 day

 

2. A-B=C D/E=F G+H=I C.F=I

 

ans A=9,B=5,C=4,F=2.

 

3. When the actual time pass 1hr wall clock is 10 min behind it when 1 hr is shown by wall clock, table clock shows 10 min ahead of it when table clock shows 1 hr the alarm clock goes 5 min behind it,when alarm clock goes 1 hr wrist watch is 5 min ahead of it assuming that all clocks are correct with actual time at 12 noon what will be time shown by wrist watch after 6 hr

 

ans---5:47:32.5

 

(n X 60 )50/60 X 70/60 X 55/60 X 65/60

 

4. One question was about cards. 4 persons play the game of cards. Cards are of 4 colour yellow green blue, red. Find colours of playing cards which are hidden

 

ans remember the sequence yellow,yellow,green,blue

 

5. One very easy question just solve two eq, about ages i remember only

 

ans boy=10yrs or girl =4 yrs or vice versa pl. check it

 

6. There are 2 scales of temp A & B. It was given A 14 to 133, B 36 to 87. Find the temp when temp of A is equal to temp of B

 

ans 52.5

 

1. S: Satch, J:Jute ans

 

person1: Most of us are satch J

 

person2: Most of us are jute S

 

person3: Two of us are satch J

 

person4: Three of us are jute J

 

person5: I am satch J

 

We have to find who is satch and who is jute.

 

2. Four persons are there to cross a bridge. They have one torch light

 

person A can cross in 1 min

 

person B can cross in 2 min

 

person C can cross in 5 min

 

person D can cross in 10 min

 

They have to cross bridge with in 17 min. At a time only two persons can cross.

 

I A&B ----> 2

 

II A <----1

 

III C&D ---->10

 

IV B <----2

 

V A&B ---->2

 

__________

 

Total 17

 

3. 7 hours hour glass. 11 hours hour glass. you have to boil one egg for 15 hours

 

4. What is the maximum number of slices can you obtain by cutting a cake with only 4 cuts?

 

ans: 16

 

5. Three are three boxes ,

 

In one box Two white balls

 

In two box 2 black balls

 

In three box 1white &1 black

 

The labels on the boxes are not correct. Then you have to open one box and to find the color of the balls in all boxes.

 

ans: Open the box labeled black & white. If white balls are there then the box labeled with white balls contain black balls and labeled with black balls contain one black and one white ball and vice versa if two black balls are there.

 

Best of Luck.

 

  Click to download more papers

 

 Click to download more papers

 

INFOSYS