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Q1) 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
Q2) 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?
a) (2/3)^10
b) (2/3)^9 + 8/3 * (2/3)^9
c) 8/3 * (2/3)^9
d) (2/3)^10 + 8/3*(2/3)^9
Q3) A toy train produces at least 10 different tunes when it moves around a circular toy
track of radius 5 meters at 10 meters per minute. However , the toy train is defective and
it now produces only two different tunes at random. What are the odds that the toy train
produces 4 consecutive music tunes of the same type?
a) 1 in 16 b) 1 in 4 c) 1 in 8
Q4) 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

Q5) 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
d) 10
Q6) 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
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
d) Sunday
Q7) A car manufacturer produces only red and blue models which come out of the final
testing area completely at random. What are the odds that 5 consecutive cars of the
same color will come through the test area at any one time?
a) 1 in 16
b) 1 in 125 c)1 in 32
d) 1 in 25

Q8) Alok is attending a workshop How to do more with less and today's theme is
Working with fewer digits. The speakers discuss how a lot of miraculous mathematics can
be achieved if mankind(as well as womankind) had only worked with fewer digits.
The problem posed at the end of the workshop is How many four digit numbers can be
formed using the digits 1, 2,3,4 ,5 ( but with repetition) that are divisible by 4?Can you
help Alok find the answer?
a) 100
b) 125
c) 75 d) 85
Q9) Rearrange the following letters to make a word and choose the category in which it
a) Bird b) Vegetable c) City d) Fruit
Q10) On planet korba, a solar blast has melted the ice caps on its equator. 9 years after
the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in
the form of circle, and the relationship between the diameter of this circle and the age of
echina is given by the formula
d = 4* (t-9) for t 9 where d represents the diameter in mm and t the number of
years since the solar blast.Jagan recorded the radius of some echina at a particular spot
as 7mm. How many years back did the solar blast occur?
a) 17
b) 21.25
c) 12.25 d) 12.06
Q11) In the reading room of a library, there are23 reading spots. Each reading spot
a) 8
b) None
c) 16
d) 15
Q12) Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded
Feraari S.P.A. Throughout its history, the company has been noted for its continued
.Rohit once bought a Ferrari . It could go 4 times as fast as Mohan's old Mercedes. If the
speed of Mohan's Mercedes is 46 km/hr and the distance traveled by the Ferrari is 953
a) 20.72
b) 5.18
c) 238.25
d) 6.18
Q13) 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?
a) The even numbered statements are true and the odd numbered are false.
b) The odd numbered statements are true and the even numbered are false.
The first 35 statements are true and the last 35 are false.
d) The first 35 statements are false and the last 35 are false.
Q14) Middle earth is a fictional land inhabited by Hobbits, Elves, dwarves and men.
The Hobbits and the Elves are peaceful creatures who prefer slow, silent lives and
game is as follows . A tournol is one where out of the two teams that play a match, the
one that loses get eliminated. The matches are played in different rounds where in
every round , half of the teams get eliminated from the tournament. If there are 8 rounds
played in a knock-out tournol how many matches were played?

a) 257 b) 256 c) 72 d) 255

Q15) A research lab in Chennai requires 100 mice and 75 sterilized cages for a certain
numbers 1 to 100 , by combining tags numbered 0 to 9. The SPCA requires that the tags
be made of toxin-free material and that the temperature of the cages be maintained at
27 degree Celsius. Also , not more than 2 mice can be caged together and each cage
must be at least 2 sq.ft in area. The 5 experiments to be conducted by lab are to be
thoroughly documented and performed only after a round of approval by authorities. The
approval procedure takes around 48 hours. How many times is the tag numbered '4' used
by the lab in numbering these mice?
a) 9
c) 20
d) 21
rate of one litre 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 litres , second hour it has 20, and so on). If tank B is 1/32
a) 26 hrs
b) 25 hrs
c) 5 hrs d) 27 hrs
Q17) Consider two tumblers, the first containing one litre of coffee. Suppose you take
one spoon of water out of the first tumbler and pour it into the second tumbler. After
moving you take one spoon of the mixture from the second tumbler and pour it back into
the first tumbler . Which one of the following statement holds now?
a) There is less coffee in the first tumbler than water in the second tumbler.
b) There is more coffee in the firs tumbler than water in the second tumbler
c) There is as much coffee in the first tumbler as there is water in the second
d) None of the statements holds true.
Q18) Francois Pachet , a researcher at Sony Computer Science laboratories is also a jazz
musician. He decided to build a robot able to improvise like a pro. Named Continuator,
the robot can duet with a live musician in real- time. It listens to a musical phrase and
then computes a complementary phrase with the same playing style. If the cost of
making the robot is divided between and then computes a complementary phrase with
the same playing style. If the cost of making the robot is divided between materials ,
labour and overheads in the ratio of 4:6:2.If the materials cost $108. the cost of the robot
a) $270
b) $324 c) $216 d) $ 648
pair of each colour?
a) 50 b) 8 c) 60 d) 42
Q20) A man jogs at 6 mph over a certain journey and walks over the same route at 4
mph. What is his average speed for the journey?
a) 4 mph b) 5 mph c) 2.4 mph d) 4.8 mph
Q21) Spores of a fungus, called late blight, grow and spread infection rapidly. These
pathogens were responsible for the Irish potato famine of the mid-19 th century. These

Q22) 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
Q23) In the year 2002, Britain was reported to have had 4.3m closed circuit television
(CCTV) cameras one for every 14 people in the country . This scrutiny is supposed to
deter and detect crime. In one criminal case, the police interrogates two suspects . The
ratio between the ages of the two suspects is 6:5 and the sum of their ages is 6:5 and the
sum of their ages is 55 years. After how many years will the ratio be 8:7.?
a) 11
b) 6
c) 10
d) 5
Q24) 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
Q25) 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.
1) A school yard contains only bicycles and 4 wheeled wagons. On Tuesday, the total
number of wheels in the schoolyard was 114. What would be the possible number of
18 17 16 8
2) Determine the distance between x-intercept and 2-intercept of the plane where
equation is 6x+8y-32=72.
3 26.83 9 25.63
3) There are 7 children and the youngest child is a boy. What is the probability that all of
them are boys is 1 in
2! 64 128 2
4) NY public library is one of the worlds greatest repositories of books and journals. It has
a beautiful reading room facing Manhattans famous 5th Avenue. In the reading room
are10 reading spots. Each reading spot consists of a round table with 4 chairs placed

around it. There are some readers such that in each occupied reading spot, there are
different numbers of readers. If in all there are10 readers, how many spots are empty?
5 4
5) A seamstress buys a certain amount of Gingham cloth which comes in rolls that are
exactly 56 inches wide. She has also bought a certain length of Seek sucker cloth and 35
inches wide. The seamstress first focuses on the Gingham roll ad discovers that she has
116 yards of Gingham and she wants to divide the gingham into 116 lengths of 1 yard
each. She wants to have twice as many pieces of seek sucker as she does of the
Gingham. It takes 4 seconds to cut each length of Gingham. Working non-stop, how long
(in seconds) will it take her to cut all 116 pieces?
464 460 463
6) 20 people meet and shake hands. The maximum number of hand shakes possible if
there is to be no cycle of handshakes is( a cycle of handshake is a sequence of people
a1,a2,..ak) such that people(a1,a2),(a2,a3)..(a(k-1),ak),(a2,a1) shake hand is
16 18
7) A pie is to be divided among 20 people. A man eats 3 pieces, a woman eats 2 pieces
and a child eats a piece of pie. What is the number of men, women children, so that 20
people in total and everyone get the same pie? There are 20 pieces of pie in all.
7 women, 1 man, 12 children
5 women, 1 man, 14 children
4 women, 2 men, 12 children
track of radius 5m at 10 m/min. However, the toy train is defective and it now produces
only 2 different tunes at random. What are the odds that toy train produces 6 consecutive
music tunes of the same type.
1) Bob, Peter, Oliver and 2 girls Raven and Chelsey are to be seated in a row. Raven
often gets sits to left of Bob. No girl sits at extreme positions and middle positions. Peter
always sits at the extreme position. Who sits to the right of Chelsey?
Oliver Bob
2) A taxi driver commenced his journey from a point and he drove 10 km towards north
and turned to his left and drove another 20 km. After waiting to meet a friend here, he
turned to his right and continued to drive another 10 km. In which direction is he now?
3) A hunter walked one kilometer south from his camp. Then he walked one kilometer
west. There he shot a bear. Then he walked one kilometer north, and found that he was
back at his camp. What color was the bear?
Black White
None of the above
1.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?
2. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7
can be written by 72 programmers in 72 minutes?
3. The difference between the ages of two of my three grandchildren is 3. My eldest
grandchild is three times older than the age of my youngest grandchild and my eldest
grandchild's age is two years more than the ages of my two youngest grandchildren
added together. How old is my eldest grandchild?

ball is maximized. This maximum probability is
5.A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise
speed so as to tie the race?
many faces of the smaller cubes remain unpainted?
7. Alok and Bhanu play the following min-max game. Given the expression N = X - Y Z
strategies, the value of N at the end of the game would be?

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