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PUZZLES

PUZZLES

S.S.HARICHANDAN

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PUZZLES

1. One guy has Rs.100/- in hand. He has to buy 100 balls. One football costs Rs.15/-, one Cricket ball costs Re.1/- and one table tennis ball costs Rs.0.25. He spend the whole Rs.100/- to buy the balls. How many of each balls he bought?

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PUZZLES

A farmer built a fence around his 17 cows, in a square shaped region. He used 27 fence poles on each side of the square. How many poles did he need altogether?

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PUZZLES

In a small poultry farm, there were 27 chickens. If there were 4 enclosures and in each enclosure there were an odd number of chickens, how many chickens were there in each enclosure?

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PUZZLES

When a person walked in to a shop he had altogether Rs.140 in purse. When he walked out he did not have a single paisa, instead of a sari, a pair of shoes and a hand bag. If the sari cost Rs.90 more than the hand bag and the sari and the hand bag cost together Rs.120 more than the pair of shoes. How much did he pay for each item?

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PUZZLES

There are 8 spiders and beetles into a little box. When their legs are counted there are altogether 54. How many spiders and beetles are there?

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PUZZLES

A family consists of one grand father, one grand mother, two fathers, two mothers, four children, three grand children, one brother, two sisters, two sons, two daughters, one father-in-law, one mother-in-law, and one daughter-in-law. If altogether there are 7 persons. How many male, female members are there?

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PUZZLES

A little ball is dropped from a height of 8 ft and it bounces back each time to a height which is one-half of the height of the last bounce. How far approximately will the ball have traveled when it comes to rest?

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PUZZLES

Two trains start their journey from Delhi and Hyderabad and proceed towards each other @ 40 and 50 mph respectively. If the distance between Delhi and Hyderabad is 60 miles, then when they meet are they nearer to Delhi or Hyderabad?

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PUZZLES

A rectangular sheet of tin foil 32cm by 20cm form which equal squares are cut out at each of the corners. What will be the maximum volume of a wooden box which can be lined by suitably bending the tin foil to cover the base and sides of the box?

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PUZZLES

The population of rats in a locality increases 24% per year. Observing this, the pest control committee decided to use a special kind of pesticide “Killer” brand which effectively kills 240 rats in 3 months. Just after 2 yrs. What is the net increase or decrease in the population of rats if, initially the population of rats is 3000 and the pesticide is used effectively?

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PUZZLES

1. Three people x, y & z weigh themselves in a particular order. First x, y & z weigh themselves in a particular order. First x, y, z weigh themselves individually & then xy, yz, zx and xyz together respectively. The record weight of the last measure is 210 Kg. The average of the 7 measures is?

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PUZZLES

Answer the questions based on the following information.

Two trains started simultaneously at 8am from A&B towards B&A. Both of them take 12 hrs to reach their respective destinations.

At what time will the two trains meet? If the first train met with an accident at 12pm and there after

travels at half of its original speed when will the two trains meet?

The first train met with an accident traveled at half of its original speed thereafter. If reached the destination 10 hrs late. Find the time when the two trains would meet?

The first train met with an accident & travelled at half of its speed there after & the two trains met at 3pm. Find the time when the accident occurred?

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PUZZLES Answer the questions based on the following

information.

Priyanka was studying at IIM, Ahmedabad. Her father was interested in puzzles. So she sent a note to him asking for money. The note said

NEED

+ MORE

MONEY.

Where each alphabet represents single-digit numbers from 0 to 9 and MONEY is a five-digit number. How much Money did her father send to her? What is the value of NEED? What is the value of MORE?

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PUZZLES Answer the questions based on the following information.There are 2 frogs in a well of depth 100m. one at the top of the well and the other at the bottom of the well. The frog at the top of the well slips down 4m in the first second, climbs 3m in the next second, slips down 4m again and climbs up 3m again. It continues thus till it reaches the bottom of the well. The frog at the bottom of the well climbs 3m and slips 2m every alternate second. After what time from the start are the frogs

separated by exactly 50m? When do the two frogs meet each other?

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PUZZLES Answer the questions based on the

following information.Four sisters- Sonali, Tina, Uma & Vibha are playing a game such that the loser doubles the money of each of the other players from her share. They played four games and each sister lost one game in alphabetical order. At the end of fourth game each sister had Rs.32. How many rupees did Sonali start with? Who started with the lowest amount? Who started with the highest amount? What was the amount with Uma at the end of

the second round?

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PUZZLES Answer the questions based on the information given below.One kiddy bank contains 50-paisa coins and one-rupee coins in the ratio 1:2. Another kiddy bank contains only 50-paisa and one-rupee coins. Half of the amount from the second bank is transferred to the first. The number of one-rupee coins and the number of 50-paisa coins in the first bank are now equal. What is the minimum amount in both the

banks put together? What is the ratio of amount in the two banks?

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PUZZLES Answer the questions based on the following

information.The television companies BPL, Videocon and Aiwa have schemes for purchasing of television. For every BPL television a person gets 8 movie tickets free; with every Videocon television a person gets 6 movie tickets and 2 cassettes free; and for every Aiwa television a person gets 6 movie tickets and one cassette free. A dealer has televisions of all the three companies and a total of 18 televisions. He has a total of 118 free movie tickets and 20 free cassettes. What is the maximum number of television he has

for any of the three companies? What is the number of movie tickets the dealer

gets with the BPL televisions? The dealer has least number of televisions of

which company?

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PUZZLES Answer the questions based on the

following information. One day in the evening a grocer divided all the coins into three groups. If as many coins as there are in the second group are taken from the first group and added to the second group, as many coins as there are in the third group are taken from the second group and added to the third group and as many coins as there are left first group are taken from the third group and added to the first group, all groups will be equal.

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PUZZLES

If the total number of coins is 96, then find the number of coin in the first group in the beginning is :

40 42 44 46 can’t be determined.

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PUZZLES

What is the minimum number of total coins:

18 20 24 30 none of these.

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PUZZLES

If the number of coins in the third group is 18, what is the total number of coins in the second group:

21 24 27 30 none of these.

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PUZZLES

1. In an examination a student got 85 marks out of 100 marks. If his score was calculated by subtracting two times the number of wrong answers from the number of correct answers, how many problems did he solve correctly?

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PUZZLES

Out of a group of boys and girls, if 15 boys leave there remain two girls for each boy & if then 45 girls leave, there remain 5 boys for each girl. How many boys & girls in the group?

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PUZZLES Answer the questions based on the

following information. A, B, C, & D collected one rupee coins following

the

given pattern.

Together they collected 100 coins.

Each of them collected even number of coins.

Each one of them collected at least 10 coins.

No two of them collected the same no. of coins.

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PUZZLES

The maximum no. of coins collected by any one of them cannot exceed: ?

If A collected 54 coins, then the difference in the no. of coins between the one who collected maximum no. of coins and the one who collected the second highest number of coins must be at least: ?

If A collected 54 coins & B collected two more coins twice the no. of coins collected by C, then the no. of coins collected by B could be: ?

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PUZZLES Use the following information:

ABC forms an equilateral triangle in which B is 2 km from A. A person starts walking from B in a direction parallel to AC and stops when he reaches a point D directly east of C. He then, reverses direction and walks till he reaches a point E directly south of C. Thus D is in which direction and how many

kms from A in which direction? The total distance walked by the person

is ?

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PUZZLES Answer the questions based on the following

information.

A, B, C, & D are to be seated in a row. But C and D cannot be together. Also B cannot be at the 3rd place. At which place A will never seat? If A is not at the third place, then C is at

which place?

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PUZZLES Read the text and the statements

carefully and answer the questions:Four people of different nationalities live on the same side of a street in four houses each of different color. Each person has a different drink. The following additional information is also known.

A. The Englishman lives in the red house.B. The Italian drinks tea.C. The Norwegian lives in the first house on the left.D. In the second house from right they drink milk.E. The Norwegian lives adjacent to the blue house.F. The Spaniard drinks fruit juice.G. Tea is drunk in the blue house.H. The white house is to the right of the red house.

Milk is drunk by :? The Norwegian drinks:? The color of Norwegian’s house is :? The color of Englishman's house is :?

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PUZZLES Answer the questions based on the following

information.

Q started to move from point B toward point A exactly an hour after P started from A in the opposite direction. Q’s speed is twice that of P. When P had covered one – sixth of the distance between the points A & B , Q had also covered the same distance . The point where P & Q would meet is :? How many hours would P take to reach B? How many more hours would P (compared to

Q ) take to:?

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PUZZLES

Answer the questions based on the following information.

One day in the evening a grocer divided all the coins into three groups. If as many coins as there are in the second group are taken from the first group and added to the second group, as many coins as there are in the third group are taken from the second group and added to the third group and as many coins as there are left first group are taken from the third group and added to the first group, all groups will be equal.

If the total number of coins is 96, then find the number of coins in the first group in the beginning is :a. 40b. 42c. 44d. 46e. can’t be determined.

What is the minimum number of total coins:a. 18b. 20c. 24d. 30e. none of these.

If the number of coins in the third group is 18, what is the total number of coins in the second group:a. 21b. 24c. 27d. 30e. none of these.

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PUZZLES Answer the questions based on the

following information. The refrigerator companies L.G., Godrej and Alwyn have schemes for purchasing of refrigerator. For every L.G. refrigerator a person gets 8 movie tickets free; with every Godrej refrigerator a person gets 6 movie tickets and 2 cassettes free; and for every Alwyn refrigerator a person gets 6 movie tickets and one cassette free. A dealer has refrigerators of all the three companies and a total of 18 refrigerators. He has a total of 118 free movie tickets and 20 free cassettes.

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PUZZLES

What is the maximum number of refrigerator he has for any of the three companies:

a. 7

b. 8

c. 9

d. 10

e. none of these.

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PUZZLES

What is the number of movie tickets the dealer gets with the L.G. refrigerators:

a. 36

b. 40

c. 42

d. 44

e. none of these.

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PUZZLES

The dealer has least number of refrigerators of which company:

a. LG

b. Godrej

c. Alwyn

d. Can’t say.

e. LG or Godrej.

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PUZZLES

An egg vendor sells half of his eggs and half an egg to the first customer. To the second customer he sells half of what he had left and half an egg, and to the third customer he sells half of what he had then left and half an egg. By the way he didn’t break any eggs. In the end three eggs were remaining. How many did he start out with?

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PUZZLES

There are two friends A & B with having different number of articles. If A gives one of his article to B, then the number of articles of both are same. And if B gives one of his article to A ,then the number of articles of A is twice that of B. Find the number of articles of A & B?

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PUZZLES

Two friends Amit & Rohit were playing cards. The stake was 1 paisa a game. At the end Amit had won 3 games & Rohit had won three paisa. How many games did they play?

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PUZZLES

At a dinner party every two guests used a dish of rice between them. Every three guests used a dish of dhal & every four used a dish of meat between them. If there were altogether 65 dishes, how many guests were present?

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PUZZLES

A circular pipe with an inside diameter of 6 feet can carry a certain amount of water. How many circular pipes with an inside diameter of 1 inch will be needed to carry the same amount of water?

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PUZZLES

A mule & donkey were going to the market laden with wheat. The mule said “if you give me one measure ,I should carry twice as much as you, but if I give you one we should have equal burdens.” What were their burdens?

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PUZZLES

If 24 children arranged themselves in six rows with each row comprising of five then the shape of that figure is :?

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PUZZLES Answer the questions based on

the following information. A ,B ,C,D,E,F,G denote seven flags of five different colors (blue, green, yellow, red and pink). Any one flag is of a different color.

i. No two flags denoted by adjacent letters of alphabet are of the same color.

ii. D,E,F, and G are flags of three different color, while A,B, and C are flags of two different colors.

iii. G is blue if E is pink. Otherwise G is either pink or yellow. CONT>>

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PUZZLES

i. The first letter of the color of B comes later in the alphabet than the first letter of the color of A.

ii. All the flags are of good material.

iii. E is pink or blue or green or red.

iv. A is not red, only if d is not pink or blue or yellow.

v. G is blue only if B & F are of the same color, otherwise G is of the same color as one other flag.

vi. F is green either E or G is red; otherwise it is of a different color.

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PUZZLES

A is :(a) Blue (b) Pink (c) Green (d) Red(e) YellowB is:(a) Green (b) red (c) yellow (d) Pink (e) BlueC is:(a) Red (b) Yellow (c) Pink(d) Blue (e) Green

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PUZZLES

D is :a.Yellowb.Bluec.Greend.Pinke.Red

E is:a.Pink b.Bluec.Greend.Rede.Yellow

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PUZZLES

F is:a.Blueb.Greenc.Pinkd.Yellowe.Red

G is:a.Yellowb.Pinkc.Blued.Rede.Green

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PUZZLES Read the data and answer the following

questions:

Five executives of an international conference met at

Delhi.

Mr. A can speak Spanish and Hindi.

Mr. B speaks Spanish and English.

Mr. C converses in English & Hindi.

Mr. D speaks French & Spanish quite well.

Mr. E a native of India knowing Hindi can also speak French.

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PUZZLES

Which of the following can act as interpreter when Mr. C and Mr. D wish to confer:a. Mr. A onlyb. Mr. B onlyc. Either Mr. A or Mr. Bd. Any of the other 3 executives

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Besides Mr. E which of the following can converse with Mr. D without an interpreter:a.Mr. A onlyb.Mr. B onlyc.Mr. A and Mr. Bd.Mr. C only

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PUZZLES

Which of the following can converse without an interpreter:a.Mr. B and Mr. Eb.Mr. A and Mr. Bc.Mr. A and Mr. Cd.Mr. B and Mr. D

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If a sixth executive is brought in to be understood by the maximum no. of original 5, he should be fluent in:a. English and Frenchb. Hindi and Spanishc. French and Hindid. Hindi and English

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PUZZLES

Of the language spoken at the conference, choose the 2 most common languages:

a.English and Spanish

b.English and Hindi

c.English and French

d.Hindi and Spanish

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PUZZLES Answer the questions based on the following

information.

Four professors A,B,C and D attend a meeting in a hall, which has 4 doors D-1, D-2, D-3, D-4. They enter by different doors and leave by different doors. No one enters and leaves by the same door.

A. A and B do not use D-4.

B. C and D do not use D-1.

C. A and C use D-1, D-2 and D-4.

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PUZZLES

In how many different ways can a professor enter and leave:a. 1b. 2c. 3d. 4e. 5

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PUZZLES

If A enters by D-1 and C leaves by D-4, by what door does D enter and leave:a.D-4, D-1b.D-4, D-3c.D-1, D-2d.D-3, D-1e.D-1, D-3

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PUZZLES

What is / are the door / doors which B and C do not use:a.D-1, D-2b.D-3c.D-4d.D-2, D-3e.Cannot be determined

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PUZZLES

If B enters by D-2 what is/are the doors which B and C do not use:a. D-1b. D-1, D-3c. D-1, D-4d. D-4, D-3e. D-3

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PUZZLES

If conditions given in statement (A), (B) & (C) are ignored, in how many ways can the professors enter and leave:a.432b.256c.192d.64e.128

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PUZZLES Answer the questions based on the following information. A boy is asked to put in a basket on mango when ordered one, one orange when ordered two, one apple when ordered three and asked to take out from basket one mango and an orange when ordered four. A sequence of order is given as:

12332142314223314113234 How many total oranges were in the

basket at the end of the above sequence? How many total fruits will be in the basket

at the end of the above order sequence?

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PUZZLES Answer the questions based on the following

information.

A sales man enters the quantity sold and the price in to the computer. Both the numbers are two-digit numbers. But, by mistake, both the numbers were entered with their digits interchanged. The total sales value remained the same, i.e. Rs.1148/-, but the inventory reduced by 54. What is the actual price per piece? What is the actual quantity sold?

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PUZZLES Answer the questions based on the following information. Amar, on his death bed, keeps half his property for his wife and divides the rest equally among his three sons: Bapi, Carl and Dev. Some years later, Bapi dies leaving his half his property to his widow and half to his brothers Carl and Dev together, sharing equally. When Carl makes his will, he keeps half of his property for his younger brother Dev. When Dev dies some years later, he keeps half his property for his widow and the remaining for his mother. The mother now has Rs.5,75,000/-

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PUZZLES

What was the worth of the total property?

What was Carl’s original share? What was the ratio of the property

owned by the widow of the three sons, in the end?

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PUZZLES Answer the questions based on the

following information.

Two numbers among A,B,C,D,E and F are positive odd integers. Two of these numbers are positive even integers. The remaining two are both equal to zero. The numbers satisfy the following conditions:

i. 5(A+B+C+D+F) is odd.ii. A+C is not even.iii. EC=2AD, but AD is greater than BE.

The two odd numbers are:? The two even numbers are:? The numbers which are both zero are:?

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PUZZLES

Q43: A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but six, all pigeons but six, and all docks but six. How many birds had he in all?

9

18

27

36

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PUZZLES

: What is the smallest number of swans that could swim in this formation –two swans in front of a swan, two swans behind a swan and a swan between two sw2ans?

3

5

7

9

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PUZZLES

There were all sparrows but 6 means that six birds were not sparrows but only pigeons & docks.

Similarly, number of sparrows+ number of docks=6

and number of sparrows+ number of pigeons=6. This is possible when there are 3 sparrows, 3

pigeons & 3 docks i.e. 9 birds in all.

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PUZZLES

Sol 2: It is clear that the smallest such number is 3. S Three swans can be arranged as shown S

along side to satisfy all the three given conditions. S

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PUZZLES

Q 45: Amit cut a cake in to two halves and cuts one half in to smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If he has seven pieces of the cake in all with him, how heavy was the original cake?

(a) 120 grams (b) 140 grams (c) 240 grams (d) 280 grams (e) None of these

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PUZZLES

Sol : The seven pieces consist of 6 smaller equal pieces & one half cake piece.

Weight of each small piece= 20 gm.

So, total weight of the cake=2*(20*6)=240gm.

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PUZZLES

Q 46: First bunch of bananas has ¼ again as many bananas as a second bunch. If the second bunch has 3 bananas less than the first bunch, then the numbers of bananas in the first bunch are(a) 9 (b) 10 (c) 12 (d) 15

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PUZZLES

Sol : Let the number of bananas in the second bunch be x.

Then, number of bananas in the first bunch=x+1/4 x=5/4 x.

So,5/4x-x=3 =>x=12. The number of bananas in first

bunch=(5/4*12)=15

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PUZZLES

Q 48: A placed three sheets with two carbons to get two extra copies of the original. Then he decided to get more carbon copies and folded the paper in such a way that the upper halves of the sheets were on top of the lower half. Then he typed. How many carbon copies did he get?(a) 1 (b) 2 (c) 3 (d) 4

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PUZZLES

Q49: A motorist known four different routes from A to B. From B to C he knows three different routes and from C to D he knows two different routes. How many routes does he knows from A to C?

(a) 4 (b) 8 (c) 12 (d) 24

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PUZZLES

Q50: In a class, there are 18 boys who are over 160 cm tall. If these constitute three- fourth of the boys and the total number of boys is two- thirds of the total number of students in the class, what is the number of girls in the class?

(a) 6 (b) 12 (c) 18 (d) 24

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PUZZLES

Q 51: A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus?

(a) 15 (b) 30 ) 36 (d) 45

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PUZZLES

Q52: I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I can have to pack and distribute?(a) 25 (b) 37 (c) 54 (d) 65

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PUZZLES

Q 53: A says, “If B gives me Rs40, he will have half as much as C, but if C gives me Rs40, then the three of us will have the same amount.” What is the total amount of money that A, B and C have between them?

(a)Rs240 b) Rs320 (c) Rs360 (d) Rs420

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PUZZLES

Q54: A, B, C, D and E play a game of cards. A says to B, “ If you give me three cards you will have as many as E has and if I give you three cards, you will have as many as D has.” A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have?a) 22 (b) 23 (c) 25 (d) 35

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PUZZLES

Q55: In a caravan in addition to 50 hens, there are 45 goats and 8 camels with some keepers. If the total number of feet be 224 more than the number of heads in the caravan, the number of keepers is

a) 5 (b) 8 (c) 10 (d) 15

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PUZZLES

Q56: A certain number of horses and an equal number of men are going some where. Half of the owners are on their horses’ back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 70, how many horses are there?

a) 10 (b) 12 (c) 14 (d) 16

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PUZZLES

Q57: At a firm, there are hens, cows and bullocks, and keepers to look after them. There are 69 heads less than legs; the number of cows is double of that of the bullocks; the number of cows and hens is the same and there is one keeper per ten birds and cattle. The total number of hens plus cows and bullocks and their keepers does not exceed 50. How many cows are there?a) 10 (b) 12 (c) 14 (d) 16

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PUZZLES

Q58: In a certain office, 1/3 of the workers are women, ½ of the women are married and 1/3 of the married women have children. If ¾ of the men are married and 2/3 of the married men have children, what parts of workers are with out children?

a) 5/18 (b) 4/9 (c) 11/18 (d)17/36

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PUZZLES

Q59: In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks, the number of questions he attempted correctly, is

(a) 35 (b) 40 (c) 42 (d) 46

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PUZZLES

Q60:A father tells his son,” I was your present age when you were born.” If the father is 36 now, how old was the boy 5 years back?

(a)13 (b) 15 (c) 17 (d) 20

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PUZZLES

Q61: When Subham was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Subham’s brother is 6 years older than him and his mother is 3 years younger than his father, how old was Subham’s sister when he was born?

(a)7 years (b)10 years (c)14 years (d)19 years

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PUZZLES

Q 62: In a town, 65% people watched the news on television, 40% read a newspaper and watched the news on television also. What percent of the people neither watched the news on television nor read a newspaper?

a)5 (b)10 (c)15 (d)20

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PUZZLES

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

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PUZZLES

Three members are hunting in a forest. While crossing a stream cartridges of two of them gets wetted up. Then the third person divides his cartridges 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

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PUZZLES

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

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PUZZLES

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

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PUZZLES

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

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PUZZLES

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.

4th digit is 4 more than the second one. Find the digit.

Ans : 25296.

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PUZZLES

2XX 3XX - ------ 5XX X4X XX3 --------- XXXXX ------- Find out the X's and seven is not there in the

calculation. Ans: 281x332

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PUZZLES

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

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PUZZLES

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

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PUZZLES

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?

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PUZZLES

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

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PUZZLES

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

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PUZZLES

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

101

PUZZLES

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

102

PUZZLES

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

103

PUZZLES

Two people X & Y walk on the wall of a go down 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 15mtrs. Then again he turns back and walks in the original direction. What distance did Y walk before they met again, if X walks 11mtrs by the time Y walks 8mtrs.

104

PUZZLES

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 ?

105

PUZZLES

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.

106

PUZZLES

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.

107

PUZZLES

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 ?

108

PUZZLES

Food grains are to be sent to city from go down. 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 go down to city. Also with which speed the truck should travel in order to reach at exactly 11 'O clock.

109

PUZZLES

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.

110

PUZZLES

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?

111

PUZZLES

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

112

PUZZLES

A clock showing 6 o'clock takes 30secs to strike 6 times. How long will it take to strike 12 at midnight? Ans.66secs.

113

PUZZLES

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

114

PUZZLES

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.

115

PUZZLES

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.

116

PUZZLES

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

117

PUZZLES

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

118

PUZZLES

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

Ans: 2 power 9 x 5 power 9

119

PUZZLES

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

120

PUZZLES

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 Rs100/- How much did he have with him in the beginning ?

Ans: Rs250/-

121

PUZZLES

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 be opened to make it ?

Ans : 2.

122

PUZZLES

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.

123

PUZZLES

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

124

PUZZLES

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

125

PUZZLES

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

126

PUZZLES

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.

127

PUZZLES

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 Ram Singh 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

128

PUZZLES

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

129

PUZZLES

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.

130

PUZZLES

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

131

PUZZLES

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 10Kmph. 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: 60kmph

132

PUZZLES

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 realized that at least 2 sparrows have escaped. What is minimum no of birds that can escape.

133

PUZZLES

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.

134

PUZZLES

There is a T-agency in Mangalore and Bangalore. Total time taken in 9hrs. Trucks starts from both points at 6a.m to 9a.m in one hr intervals. a. The truck when starts at 6a.m in the morning meets how many trucks on the way. b. How many trucks a truck which starts at 9p.m will meet. For a and b

Ans.9

135

PUZZLES

Rajesh 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/-