Maths Questions Full list

Q1. A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite
direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?

Q2. form 8 digit numbers from by using 1,2,3,4,5 with repetition is allowed and must be divisible by 4?

Q3. 16. If there are 30 cans out of them one is poisoned if a person tastes very little he will die within 14
hours so if there are mice to test and 24 hours to test, how many mices are required to find the
poisoned can?
a) 3 b) 2 c) 6 d) 1

Q4. A man spends half of his salary on household expenses, 1/4th for rent, 1/5th for travel expenses,
the man deposits the rest in a bank. If his monthly deposits in the bank amount 50, what is his monthly
salary?
(a) Rs.500 (b) Rs.1500 (c) Rs.1000 (d) Rs. 900

Q5. A man is standing in front of a painting of a man, and he tells us the following: Brothers and sisters
have I none, but this man's father is my father's son. Who is on the painting?

His father His grandfather His son He himself

Q6. in a class there are less than 500 students . when it is divided by 3 it gives a whole number. similarly
when it is divided by 4,5 or 7 gives a whole number. find the no. of students in the class

Q7. . Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who
gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend
choose from well shuffled set of cards numbered one to six. You check and find that this method works
as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of
picking the cards blindfold and throwing a die. You note that the number shown by the method of
picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would
be likely to appear more often – 8,9 or 10?
a) 8 b) All are equally likely c) 9 d) 10

Q8. The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8.
A certain street in nigiet contains 1000 buildings numbered 1 to 1000 in base 8. How many 3s are used
in numbering these buildings?Express your answer in base 10
a) 54 b) 64 c) 265 d) 192

Q9. If a person moves 15km straight and turns 45 km right and moves 15Km straight then how much
distance he needs to walk to reach starting point??

Q10. A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder
of 21. What is the remainder left, when twice the number is divided by 3D?
a) 13 ,b) cannot be determined ,c) 3 ,d) 42
 Page 2
Q2. 2 oranges, 3 bananas and 4 apples cost Rs.15. 3 oranges, 2 bananas, and 1 apple costs Rs 10. What
is the cost of 3 oranges, 3 bananas and 3 apples?

(a) Rs10 (b) Rs15 (c) Rs20 (d) Rs25

Q3. A man, a woman, and a child can do a piece of work in 6 days. Man only can do it in 24 days.
Woman can do it in 16 days and in how many days child can do the same work?
(a) 8 (b) 14 (c) 16 (d) 18

Q4. A box of 150 packets consists of 1kg packets and 2kg packets. Total weight of box is 264kg. How
many 2kg packets are there?

(a) 100 (b) 114 (c) 200 (d) 208

Q5. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one
litter every hour in A, it gets filled up like 10, 20, 40, 80, 160... in tank B.( At the end of first hour, B has
10 liters , second hour it has 20, and so on). If tank B is 1/32 filled after 21 hours, what is the total
duration required to fill it completely?

a) 26 hrs (b) 25 hrs (c) 5 hrs (d) 27 hrs

Q6. There are 10 reading spots in a room. Each reading spot has a round table. Each round table has 4
chair. If different no of persons are sitting at each reading spot. And if there are 10 persons inside the
room then how many reading spots do not have at least a single reader.

(1) 5 (2) 6 (3) 7 (4) None

Q7. Which is the smallest no divides 2880 and gives a perfect square?
a.1 b.2 c.5 d.6

Q8. 6 persons standing in queue with different age group, after two years their average age will be 43
and seventh person joined with them. Hence the current average age has become 45. Find the age of
seventh person?

(a) 69 (b) 70 (c) 40 (d) 45

Q9. 3, 22, 7, 45, 15, ? , 31

(a) 45 (b) 90 (c) 91 (d) 35

Q10. A man divides Rs.8600 among 5 sons, 4 daughters and 2 nephews. If each daughter receives four
times as much as each nephew, and each son receives five times as much as each nephew, how much
does each daughter receive?

(a) Rs.800 (b) Rs.600 (c) Rs.200 (d) Rs.700

Q11. Two unemployed young men decided to start a business together. They pooled in their savings,
which came to Rs. 2,000. They were both lucky, their business prospered and they were able to increase
their capital by 50 per cent every three years. How much did they have in all at the end of eighteen
years?

(a) Rs. 22,781.25 (b) Rs. 24,150.25 (c) Rs. 28,140.50 (d) Rs. 18,000

Q12. An anthropologist discovers an isolated tribe whose written alphabet contains only six letters (call
the letters A, B, C, D, E and F). The tribe has a taboo against using the same letter twice in the same
word. It's never done.

If each different sequence of letters constitues a different word in the language, what is the maximum
number of six-letter words that the language can employ?

Q13. By using 1,2,3,4,5, how many 12 digit no. can be formed which is divisible by 4, repetition of no. is
allowed?

Q14. ) Smita was makin 1 design,size of larger cube

to be made is 5*5*5 using smaller cubes of 1*1*1. She created solid
larger cube Then she decided to make hollow cube. Then how many 1*1*1
cubes required to make hollow larger cube

Q15. There is a five-digit number. The fifth digit is one fourth of the third digit and one half of the fourth
digit. Third digit is one half of the first digit. Second digit is 5 more than the fifth digit. What is that 5-
digit number? (6 marks)

Q16. 5,6,?,87,412,2185.
find the number that can be put in place of the question mark
(a)13
(b)14
(c)18
(d)20

Q17. 2. A cistern is two-third full of water. Pipe A can fill the remaining part in 12 minutes and pipe B in
8 minutes. Once the cistern is emptied, how much time will they take to fill it together completely?
(A) 12 minutes (B) 12.5 min (C) 14.4 min (D) 10.2 min (E) 14.66 min

Q18. 1. Three terrorists are employed to shoot a renowned person Mr. X. Only one bullet is sufficient to
kill him if it strikes in the head. The probabilities of the terrorists striking Mr. X’s head by their bullets
are 0.2, 0.3, and 0.4. What is the probability that Mr. X is shot dead?
(A) 0.336 (B) 0.9 (C) 0.1 (D) 0.760 (E) 0.664

Q19. 10. A tap can fill a tank in 16 minutes and another can empty it in 8 minutes. If the tank is already
1/2 full and both the taps are opened together, will the tank be filled or emptied? How long will it take
before the tank is either filled completely or emptied completely as the case may be? .
(A) Emptied; 16 mins (B) Filled; 8 mins (C) Emptied; 12 mins (D) Filled; 12 mins (E) None of These
Q20. 9. A car is traveling at uniform speed. The driver sees a milestone showing a two digit number
which is a perfect square, after traveling for an hour the driver sees another milestone with the same
digits in reverse order and after another hour the driver sees another milestone containing the same
two digits as part of a three digit number. What is the speed of the car?
(A) 30 kmph (B) 40 kmph (C) 50 kmph (D) 60 kmph (E) 45 kmph

Q21. == Q10.

Q22. 9. A train starts full of passengers. At the first station, it drops one-third of the passengers and
takes 280 more. At the second station, it drops one-half of the new total and takes 12 more. On arriving
at the third station, it is found to have 248 passengers. Find the number of passengers in the beginning.

(a) 240 (b) 248 (c) 280 (d) 288

Q23. 6. A garrison of 3300 men has provisions for 32 days when supplied at the rate of 850 g per head.
At the end of 7 days, a reinforcement arrives, and it is found that the provisions can last for 17 days
more when supplied at the rate of 825 g per head. What is the strength of the reinforcement?

(a) 1700 (b) 1000 (c) 3000 (d) 2700

Q24. == Q20.

Q25. There were totally 100 men.85 are married.75 have T.V, 85 have radio,70 have A.C. How many
men have T.V, radio, A.C and also married?

Q26. .There was a match to be held.And 100 nations were to participate in that match.It was totally an
elimination match,that is if a team loses a match it must be eliminated.Find out the total number of
matches played to find out the grand winner?

Q27. . A garrison of 3300 men has provisions for 32 days when supplied at the rate of 850 g per head. At
the end of 7 days, a reinforcement arrives, and it is found that the provisions can last for 17 days more
when supplied at the rate of 825 g per head. What is the strength of the reinforcement?

(a) 1700 (b) 1000 (c) 3000 (d) 2700

Q28. There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are
allowed to move the balls between the boxes so that when you choose a box at random and a ball at
random from the chosen box, the probability of getting a red ball is maximized. This maximum
probability is

a)1/2 b)14/19 c)37/38 d)3/4

Q29. . Alok and Bhanu play the following min-max game. Given the expression
N=9+X+Y-Z

Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while
Bhanu
would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes
this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to
substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to
their optimal strategies, the value of N at the end of the game would be

a) 0 b) 27 c) 18 d) 20

Q30. 35. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for
the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the
flight is:

(a) 1 hour (b) 2 hours (c) 3 hours (d) 4 hours

Page 3

Q1. 28. Two trains move in the same direction at 50 kmph and 32 kmph respectively. A man in the
slower train observes the 15 seconds elapse before the faster train completely passes by him. What is
the length of faster train?

(a) 100m (b) 75m (c) 120m (d) 50m

Q2. 10. A manufacturer undertakes to supply 2000 pieces of a particular component at Rs.25 per piece.
According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%.
However, as it turned out, 50% of the components were rejected. What is the loss to the
manufacturer?

(a) Rs.12000 (b) Rs.13000 (c) Rs.14000 (d) Rs.15000

Q3. 11. In Tnagar many buildings were under residential category.for buildings they number as 1 to
100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6
will appear in building numbering?

(a) 10 (b) 20 (c) 8 (d) 19

Q4(Previously done)
Q5(Previously done)
Q6. The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as
quotient and the 15 as remainder. What is the smaller number?
(a) 240 (b) 270 (c) 295 (d) 360

Q7. In A,B,C are having some marbles with each of them. A has given B and C the same number of
marbles each of them already have. Then, B gave C and A the same number of marbles they already
have. Then C gave A and B the same number of marbles they already have. At the end A,B,and C have
equal number of marbles.

If the total number of marbles are 72, then the number of marbles with A at the starting :
(a) 20 (b) 30(c) 32(d) 39
Q8. Adam sat with his friends in the Chinnaswamy stadium at Madurai to watch the 100 metres
running race organized by the Asian Athletics Association. Five rounds were run. After every round half
the teams were eliminated. Finally, one team wins the game. How many teams participated in the
race?

(a) 30 (b) 32 (c) 41 (d) 54

Q9. If an airplane starts at point R and travels 14 miles directly north to S, then 48 miles directly east to
T, what is the straight-line distance (in miles) from T to R?

(a) 25 (b) 34 (c) 50 (d) 2500

Q10. A Roman was born the first day of the 35th year before Christ and died the first day of the 35th
year after Christ. How many years did he live?

(a) 70 (b) 69 (c) 71 (d) 72

Q11. A man goes north 37km.turns left goes 2km.turns right goes 17km.turns right goes 2km. find
distance b/w starting ending point.
a) 54 b) 27 c) 81 d) 67
Q12. 10men and 10 women are there, they dance with each other, is there possibility that 2 men are
dancing with same women and vice versa?
a)22 b)20 c)10 d)none
Q13. A person has to make 141 pieces of a long bar. He takes 2 seconds to cut a piece. What is the total
time taken by him in seconds to make 141 pieces?
a)560 b)280 c)112 d)324
Q14. (previously done)
Q15. A room has 50 m length, 30 m width and 720 cm height. Then what is the volume?
Q16. A big cube painted red on all the sides. It was cut into 27 smaller cubes by 6 straight lines. How
many of the smaller cubes painted on all 3 sides, on 2 sides, on 1 side and no faces painted?
Q17. (X)^1/3-(X)^1/9=60
Q18. There are 4 mugs placed upturned on the table. Each mug have the same number of marbles and
a statement about the number of marbles in it. The statements are: Two or Three, One or Four, Three
or One, One or Two.
Q19. There are 3 persons X, Y and Z. On some day, X lent tractors to Y and Z as many as they had. After
a month Y gave as many tractors to X and Z as many as they have. After a month Z did the same thing.
At the end of this transaction each one of them had 24.

Find the tractors each originally had?

Only one of the statement is correct. How many marbles are there under each mug?
Q20. A 3 digit number is such that it's unit digit is equal to the product of the other two digits which are
prime. Also, the difference between it's reverse and itself is 396.
What is the sum of the three digits?
Q21. A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and
it hits the dartboard at some point Q in the circle.
 What is the probability that Q is closer to the center of the circle than the periphery?
0.75,1, 0.25, 0.5
Q22. If we subtract a number with y, we get 4 increase of number, once it got divided by y itself... Find
that number??
A) 13 b) 12 c) 14 d) 11

Q23. . Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the
counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change
required and carry as less coins as possible?
a)4 b)5 c)6 d)7

Q24. the cost of manufacturing a popular model car is made up of three items:cost of raw
material,labour and overheads- in a year the cost of three items were in the ration of 4:3:2.next year the
cost of the raw material rose by 10% ,labour cost increased by 8% but overhead reduced by 5%.then
%increase int the price of the car ?
a)7.67%
b)6%
c)0.54%
d)9.54%

Q25. . If a pipe can fill the tank within 6hrs.But due to leak it takes 30 min more.Now the tank is full then
how much time will it take to empty the tank throught the leak.?
a)78 b)56 c)66 d)59

Q26. 1. Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long,
9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she
really needed. She realized that she could have glued a fewer number of cubes together to lock like a
block with same dimensions, if it were made hollow. What is the minimum number of cubes that she
needs to make the block?
a) 114 b) 135 c) 21 d) 71

Q27. Out of 7 children the youngest is boy then find the probability that all the remaining children are
boys
a)1/64 b)1/32 c)1/128 d)1/256

Q28. how many 13 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if
repetition of digits is allowed?

Q29. How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the
repetition is not allowed?
a)57 b)56 c)59 d)58

Q30. Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other.
One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to
the top by repeatedly moving the topmost coin to another position in the stack.
Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below
the top coin (0 = i = 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is
that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns
neither player can make a 2-move.

If the gold coin happens to be on top when it's a player's turn then the player wins the game.

Initially, the gold coinis the third coin from the top. Then
Alice has no winning strategy.
In order to win, Alice's first move should be a 1-move.
In order to win, Alice's first move can be a 0-move or a 1-move.
In order to win, Alice's first move should be a 0-move.

Page 4
Q1. The pacelength P is the distance between the rear of two consecutive footprints. For men, the
formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per
minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to
Bernard's walking. Calculate Bernard's walking speed in kmph.

Q2. The pacelength P is the distance between the rear of two consecutive footprints. For men, the
formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per
minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to
Bernard's walking. Calculate Bernard's walking speed in kmph.

Q3. How will you recognize the magnet & magnetic material & non-magnetic material?

Q4. How will you measure height of building when you are at the top of the building? And if you have
stone with you.

Q5. A Train crosses A man standing on a platform which is 240 mtrs long in 13 secs & the platform itself
in 25 secs.wht was the speed of the train?

Q6. Complete the series 100,41.25,100, ?,100,73.75.

Q7. There are 3 ants at 3 corners of a triangle, they randomly start moving towards another corner.
What is the probability that they don't collide?

Q8. Find the smallest number such that if its rightmost digit is placed at its left end, the new
number so formed is precisely 50% larger than the original number.

Q9. Consider a number 235, where last digit is the sum of first two digits i.e. 2 + 3 = 5.
How many such 3-digit numbers are there?
Q10. There is a safe with a 5 digit number as the key. The 4th digit is 4 greater than the second digit,
while the 3rd digit is 3 less than the 2nd digit. The 1st digit is thrice the last digit. There are 3 pairs
whose sum is 11.

Find the number.

Q11. A person with some money spends 1/3 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?

Q12. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length
20, 20 and 30, the number of points equidistant from all the 3 lines is
a)1 b)3 c)4 d)0

Q13. Peter and paul are 2 friends.Sum of their ages is 35 years.Peter is twice as old as paul was when
peter was as old as paul is now.What is the present age of peter?

Q14. A game is played between 2 players and one player is declared as winner. All the winners from first
round are played in second round. All the winners from second round are played in third round and so
on. If 8 rounds are played to declare only one player as winner, how many players are played in first
round?

Q15. Alok and Bhanu play the following min-max game. Given the expression
N=9+X+Y-Z
Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while
Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu
substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the
variable to substitute the value. Finally Alok proposes the value for the remaining variable.
Assuming both play to their optimal strategies, the value of N at the end of the game would be
27,0.0, 20, 18
Q16. Planet fourfi resides in 4-dimensional space and thus the currency used by its residents are 3-
dimensional objects. The rupee notes are cubical in shape while their coins are spherical. However the
coin minting machinery lays out some stipulations on the size of the coins.
• The diameter of the coins should be at least 64mm and not exceed 512mm.
• Given a coin, the diameter of the next larger coin is at least 50% greater.
• The diameter of the coin must always be an integer.
You are asked to design a set of coins of different diameters with these requirements and your goal is to
design as many coins as possible. How many coins can you design?

9, 5, 8, 6

Q17. Alok and Bhanu play the following min-max game. Given the expression
N = 12 + X*(Y - Z)
where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while
Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu
substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the
variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming
both play to their optimal strategies, the value of N at the end of the game would be

12, 93, 30, -69

Q18. Anoop managed to draw 7 circles of equal radii with their centres on the diagonal of a square such
that the two extreme circles touch two sides of the square and each middle circle touches two circles on
either side. Find the ratio of the radius of the circles to the side of the square.

(2+ 7√2):1, 1:(2+ 6√2), 1:(2+ 7√2) , 1:(4+ 7√3)

Q19. 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is
guilty.
The suspects are made to stand in a line and each person declares that the person next to him on his
right is guilty. The right most person is not questioned. Which of the following possibilities are true?
A. All suspects are lying or the leftmost suspect is innocent.
B. All suspects are lying and the leftmost suspect is innocent .
Neither A nor B
Both A and B
B only
A only

Q20. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one
of the forerunners in the technology front, Tirnop continues to lead the way in products and services in
India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also
write code at the same rate.
Suppose 12 such programmers take 12 minutes to write 12 lines of code in total.
How long will it take 72 programmers to write 72 lines of code in total?
18, 72, 6, 12
Q21. One day Alice meets pal and byte in fairyland. She knows that pal lies on Mondays, Tuesdays and
Wednesdays and tells the truth on the other days of the week byte, on the other hand, lies on
Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the
following statements to Alice – pal. Yesterday was one of those days when I lie byte. Yesterday was
one of those days when I lie too. What day is it?

a) Thursday b) Tuesday c) Monday d) Sunday

Q22. A and B play a game of dice between them. The dice consist of colors on their faces (instead of
numbers). When the dice are thrown, A wins if both show the same color; otherwise B wins. One die has
4 red face and 2 blue faces. How many red and blue faces should the other die have if the both players
have the same chances of winning?

a) 3 red and 3 blue faces b) 2 red and remaining blue

c) 6 red and 0 blue d) 4 red and remaining blue
Q23. A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and
it
hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of
the circle than the periphery?

a) 0.75 b) 1 c) 0.5 d) 0.25

Q24. 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are
totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the
smallest set of people such that the rest have shaken hands with at least one person in the set is

a)12 b)11 c)13 d)18

Q25. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with
amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same
probability as A's chances of winning. Let's assume such rumors to be true and that in a match between
Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the
probability that Paul will correctly pick the winner of the Ghana-Bolivia game?
a)1/9 b)4/9 c)5/9 d)2/3

Q26. Here 10 programers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes.
How many programmers are needed?
a) 16 b) 6 c) 10 d) 60

Q27. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length
20, 20 and 30, the number of points equidistant from all the 3 lines is
a)1 b)3 c)4 d)0

Q28. Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the
rest by a line, .i.e the point lies on one side of the line while the others lie on the other side.
The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5
points in the plane in general position(.i.e no three points in P lie on a line) is

a)3 b)5 c) 2 d)1

Q29. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with
amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same
probability as A's chances of winning.
Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the
stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will
correctly pick the winner of the Ghana-Bolivia game?

Q30. After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into
the
envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper
envelope?
 Page 5
Q1. 5. Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with
each coin touching two other coin. Two of the coins are special and the rest are ordinary. Alok starts and
the players take turns removing an ordinary coin of their choice from the circle and bringing the other
coins closer until they again form a (smaller) circle. The goal is to bring the special coins adjacent to each
other and the first player to do so wins the game. Initially the special coins are separated by two
ordinary coins O1 and O2. Which of the following is true?

a) In order to win, Alok should remove O1 on his first turn.

b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.
c) In order to win, Alok should remove O2 on his first turn.
d) Alok has no winning strategy.

Q2. 3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one
direction and the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and
that too leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By
what factor should the hare increase its speed so as to tie the race?
a)37.80
b)5
c)40
d)8

Q3. A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40,
statement n says "At least n of the statements on this sheet are true." Which statements are true and
which are false?
The even numbered statements are true and the odd numbered are false.
The first 26 statements are false and the rest are true.
The first 13 statements are true and the rest are false.
The odd numbered statements are true and the even numbered are false.

Q4. A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement
n says: 'Exactly n of the statements on this sheet are false.' Which statements are true and which are
false?
All the statements are false.
The 39th statement is true and the rest are false.
The odd numbered statements are true and the even numbered statements are false.
The even numbered statements are true and the odd numbered statements are false.

Q5. 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is
guilty. The suspects are made to stand in a line and each person declares that the person next to him on
his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?
A. All suspects are lying or the leftmost suspect is innocent.
B. All suspects are lying and the leftmost suspect is innocent .
B only
Both A and B
A only
Neither A nor B

Q6. A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it
hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of
the circle than the periphery?
0.25
0.75
0.5
1
Q7. The citizens of planet nigiet are 8 fingered and have thus
developed their decimal system in base 8. A certain street in nigiet
contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s
are used in numbering these buildings?
256
192
54
64
Q8. Entry ticket to an exhibition ranges from 1p to 7p. You need to provide exact change at the counter.
You have 7p coin. In how many parts will you divide 7p so that you will provide the exact change
required and carry as less coins as possible?
Q9. Given a collection of 36 points P in the plane and a point equidistant from all points in P, which of
the
following are necessarily true?
A. The points in P lie on a circle.
B. The distance between any pair of points in P is larger than the distance between X and a point in P
a) A and B b) Neither A nor B c) B only d) A only
Q10. In a hotel, rooms are numbered from 101 to 550. A room is chosen at random. What is the
probability that room number starts with 1, 2 or 3 and ends with 4, 5 or 6?
Q11. There was a person who smoked a lot .One day he decided to quit his habbit,but he had 27
cigarettes with him.So he started smoking them one by one ,to finish them. He had the habit of smoking
only 2/3rd of it and leaving the rest butt. Latter he found out that by joining 3 butts he can form 1
cigarette. So ,tell how many cigarettes in all he smoked.
Q12. A women in her conversation said " if u reverse my own age, in figures represent my husbands
age. he is of course senior to me and difference between our age is one 0ne-eleventh of their sum. what
is the woman's and her husbands age?
Q13. A lady has fine gloves and hats in her closet- 18 blue- 32 red and 25 yellow. The lights are out and
it
is totally dark inspite of the darkness. She can make out the difference between a hat and a glove. She
takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she
take out to make sure she has a pair of each colour?
Q14. A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70.
Statement
n says ' At least n of the statements on this sheet are false. ' Which statements are true and which are
false?
Q15. Paul the octopus who has been forecasting the outcome of FIFA world cup matches with
tremendous
accuracy has now been invited to predict ICC world cup matches in 2011. We will assume that the world
cup contenders have been divided into 2 groups of 9 teams each. Each team in a group plays the other
teams in the group. The top two teams from each group enter the semi finals (after which the winner is
decided by knockout).
However, Paul has a soft spot for India and when India plays any team, Paul always backs India. Alas, his
predictions on matches involving India are right only 2 out of 3 times. In order to qualify for the semi
finals, it is sufficient for India to win 7 of its group matches. What is the probability that India will win
the
ICC world cup?
Q16. Mandrake has to choose from 4 from 10 people. There are 3 girls, 5 boys , 2 children. What is total
probability that he will choose 1G , 2B , 1C?
Q17. In a class of 250 students, on JAN 2 15% of the girls and 10% of the boys are absent. If on
100% attendance
there are 10 boys. Find the percentage present?
Q18. A man buys 1kg of sandalwood and 1kg of teakwood. He sells one for 10% profit and other
for 10% loss.
What is total profit/loss percentage?
Q19. A batsman's avg in 12 innings is 24.00 . If his avg is to be double of the no of innings (15
innnings), what
should he score in the remaining three innings (avg)?
Q20. if there are 30 cans out of them one is poisoned if a person tastes very little he will die
within 14 hours so if there are mice to test and 24 hours, how many mices are required to find the
poisoned can?
Q21. . 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
Q22. 1 11 21 1211 1231 131221 ....solve the sequence
Q23. 9 9 9 9 5 5 5 5 3 3 3 3 1 1 1 1. Find 21 by adding any 6 numbers from this
Q24. (done previously)
Q25. A shop sells chocolates at re.1 each. U can exchange 3 wrappers for 1 chocolate. If u have Rs.100,
how many chocolates can you totally get?
Q26. a person goes by a boat 1km upstream to reach a point p where his hat falls into water after
travelling 10 more minutes from p,he returns towards the shore and catches up with the hat
exactly at the shore. what is the speed of the water current?