100 TCS Sanple questions part 5
401)
Same model as 4th question. But it is on flat surface. Formula is same
2xy/(x+y).
402)
Six friends go to pizza corner there r 2 types of pizzas. And six different
flavors r there they have to select 2 flavors from 6 flavors. In how many ways
we can select?
Ans: 6C2
403) 3,
15, x, 51, 53,159,161. Find X
Ans: 17
404) 3 friends A, B, C went for week end
party to McDonald’s restaurant and there they measure there weights in some
order IN 7 rounds. A;B;C;AB;BC;AC;ABC. Final round measure is 155 kg then find
the average weight of all the 7 rounds?
Ans: 4(155)/7=31
405)
There is a toy train that can make 10 musical sounds. It makes 2 musical sounds
after being defective. What is the probability that same musical sound would be
produced 5 times consecutively? (1 of )?
Answer: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32
Answer: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32
406) (There was a long story, I'll cut
short it). There are 5 materials to make a perfume: Lilac, Balsamic, Lemon, and
Woody and MI mosaic. To make a perfume that is in demand the following
conditions are to be followed: Lilac and Balsamic go together. Woody and MI
mosaic go together; Woody and Balsamic never go together. Lemon can be added
with any material. (Actually they had also mentioned how much amount of one can
be added with how much quantity of the other; but that's not needed for the
question.) All of the following combinations are possible to make a perfume
except:
1) Balsamic and Lilac
2) Woody and Lemon
3) MI mosaic and Woody
4) MI mosaic and Lilac
407) A triangle is made from a rope. The sides of the triangle are A cm, B cm and C cm (I do not remember the numerical value). What will be the area of the square made from the same rope?
1) Balsamic and Lilac
2) Woody and Lemon
3) MI mosaic and Woody
4) MI mosaic and Lilac
407) A triangle is made from a rope. The sides of the triangle are A cm, B cm and C cm (I do not remember the numerical value). What will be the area of the square made from the same rope?
Ans: ((A+B+C)/4)2
408) What is the distance of the
z-intercept from the x-intercept in the equation ax+by+cz=d (I do not remember
the values of a, b, c, d).
Ans: sqrt ((d/a) 2+ (d/c) 2)
409) A scientist in Antarctic region
conducts research on bears came to know that bears changes according to the
location .once he moves 1 mile towards north, then he moves 2 miles towards
east, then 1 mile towards south. Now the color of bear he found will be in:
Ans: white
410)
(1/3) of a number is 3 times more than the (1/6) of the same number?
Ans is 18
411) There are 11 boys in a family.
Youngest child is a boy. What is the probability of all are boys?
a) 2 b)
2! C)
2048 d) 1024
412) A boy bought a roll A of 56 inches
wide and 141 yards long. He also bought B of 77 inches wide of length 333yards.
We don’t want any details of B. Some irrelevant matter. Final question is Time
taken for cutting A into 1 yard piece is 2 seconds. Time taken to cut into 141
pieces of 1 yard each is?
Ans is 2(141) =242
413) A Person buys a horse for 15 ponds,
after one year he sells it for 20 pounds. After one year, again he buys the
same horse at 30 pounds and sells it for 40 pounds. What is the profit for that
person?
Ans is 15 pounds
414) John buys a cycle for 31 dollars and
given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his
neighbor and gave change to John. After 2 days, it is known that cheque is
bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle
is 19 dollars. What is the profit/loss for shop keeper?
Ans is 23(cost price + change given).
415) In a family there are some boys and
girls. All boys told that they are having equal no of brothers and sisters and
girls told that they are having twice the no. of brothers than sisters. How
many boys and girls present in a family?
Ans is 4 boys and 3 girls
416)
There are certain number of hats and gloves in a box. They are of 41 red, 23
green, 11 orange. Power gone. But a woman can differentiate between hats and
gloves.How many draws are required to obtain a pair of each color.
417)
There is a die with 10 faces. It is not known that fair or not. 2 captains want
to toss die for batting selection. What is the possible solution among the
following?
a) If no. is odd it is head, if no. is even
it is tail
b) If no. is odd it is tail, if no. is even
it is head
c) Toss a die until all the 10 digits
appear on top face. And if first no. in the sequence is odd then consider it as
tail. If it is even consider it as head.
I didn’t remembered last option and I don’t
know answer.
418) 2 years ago of A is x times that of B.
3 Years hence the age of A is 4/3 times of B. What is the present age of B in
binary form?
I didn’t remember the exact values of x and
y. You can solve easily.
419) metal strip of width ‘x’ cm. 2 metal
strips are placed one over the other, then the combine length of 2 strips is
‘y’. If ‘z’ strips are placed in that manner. What is the final width of that
arrangement?
Ans is (z-1) (y-x) +x.
420) There are 100 men and 100 women on the
dance floor. They want to dance with each other. Then which of the following
statements is always true:
a) There are 2 men who danced with equal
no. of women’s
b) There are 2 women who danced with equal
no. of men
421) 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
Ans is 28.
422) There are 3 boys A, B, C and 2 Girls
D, E. D always sit right to A. Girls never sit in extreme positions and in the
middle position. C always sits in the extreme positions. Who is sitting
immediate right to E?
Ans is B or C
423) 49 members attended the party. In that
22 are males, 17 are females. The shake hands between males, females, male and
female. Total 12 people given shake hands. How many such kinds of such shake
hands are possible?
Ans is 12C2
424) There are 1000 pillars for a temple. 3
friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda
is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than
Linda. Find the correct sentence?
a) Linda is shorter among them
b) Chelsea is taller than Julia
c) Chelsea is shorter than Julia
d) Cannot determine who is taller among
Chelsea and Julia
Ans: d
425) 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) 22 b) 31 c) 6
d) 32
Ans is
6
426) There are 2 friends Peter and Paul.
Peter age is twice as old as Paul when peter was as old as Paul is now. Sum of
the present ages of Peter and Paul is 35.What is the present age of Peter?
Ans is 20
427)
Two tanks
A and B. A fills 1 ltr/1 hour B fills 10, 20, 30 per hour. If this is
(passage unnecessary). If 1/4th tank of B takes 15 hours to fill how much it
time will to take to fill complete tank?
428) Out of 7 children the youngest is
boy then find the probability that all the remaining children are boys
Ans: 1/2^6 = 1/64
429) The three sides of a triangle are
given. 16, 14, 21 cms
and this triangle is conveted into a square. So what will be the area of the
square generated?
Ans:(14+16+21)/4.
Then you will get the 1 side of a square and now find the area of a square.ie, side^2
430)
An equation of the form 4x+6y-2z=32 . Find the difference between x intercept
and z intercept?Ans: x/a+y/b+z/c=
431) A Toy train can make 10 sounds
sound changes after every 4 mins, now train is defective and can make only 2
sounds. Find probability that same sound is repeated 5 times consecutively
(1 out of)?
Ans: 1/32
Ans: 1/32
432) 20men and 20 women are there, they
dance with each other, is there possibilty that 2 men are dancing with same
women and vice versa.
Ans: Never
Ans: Never
433) 10 people are there, they are
shaking hands together, how many hand shakes possible, if they are in no
pair of cyclic sequence.
Ans-9
Ans-9
434) In school there are some bicycles and
4wheeler wagons. One Tuesday there are 234 wheels in the campus. How many
bicycles are there?
Ans: Go with options. Multiply each option with 2 and subtact the obtained no from 234. If it is exactly divisible by 4, that is the answer.
Ans: Go with options. Multiply each option with 2 and subtact the obtained no from 234. If it is exactly divisible by 4, that is the answer.
435) A father has 7 penny’s with him
and 1 water melon is for 1p, 2 chickoos for 1p, 3 grapes foe 1p. He has three
sons. How can he share the friuts equally?
Ans: 1 watermelon, 2chickoos, 1grape
Ans: 1 watermelon, 2chickoos, 1grape
436) A piza shop made pizzas with to flavours. In home there are ‘9’
different flavors, in that ‘2’ flavors are taken to made piza in how many ways they
can arrange?
(Logic: NcM, N= 9, M=2 )
(Logic: NcM, N= 9, M=2 )
437) One organization, material, labor and
maintenance are in the ratio of 4:6:7, if the material cost is: 272, what is
the total cost?
Ans:
4x=272 => x=68; now total cost = 272 + 6(68)+7(68).
438) 4
years before Paul’s age is 3times the Alice age and the present age of Paul is
6times the Alice. What is the presents Paul’s age?
Ans:
x-4 = 3(y-4); x=6y: Solve you will get it.
439)
In a question, last part has, the ages of two people has the ratio of 6:5 and
by adding the numbers we get 55, after how many years the ratio would be 8:7?
Ans: Easy you can do it, simple equtions
Ans: Easy you can do it, simple equtions
440)
In a room (unwanted stuff) Sports readers, 10 tables, 4 chairs per table,
each table has different number of people then how many tables will left
without at least one person?
Ans : 6
Ans : 6
441)
Passage joe is taller than jerry and 3 pillers. kistern is
shorter than joe and 2 pillers is jerry shorter/taller than kistern ?
442) a volume of A are having in a
container of sphere. how many semi hemispheres of B volume each will be
required to transfer all the A in to semi hemispheres?
Ans: A= x B
443) Question based on V=I*R but in dis
question most of data given are ridiculas like volume, density, length, height
similar long story are given
444)
Peter and Paul are two friends. The sum of their ages is 42 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?
445)
A horse chases a pony 2 hours after the pony runs. Horse takes 4 hours to
reach the pony. If the average speed of the horse is 81 kmph, what s the
average speed of the pony? (This question was really long with loads of
irrelevant statement)
446) Difference
between two numbers is 4 and their product is 17. Then find the sum of their
squers?
447)
A, B, C, D, E are there among A, B, C are boys and D, E are girls D is to
the left of A and no girl sits at the middle and at the extemes. Then what is
the order of their sittings.
448)
Some ages problem, then asked the answer in binary
449)
(Some chetta chikkati solutions) unwanted data folowed by a formula
diameter d = 10*(t-14), t>14 then what id diameter after t=40?
450)
Some denominations question like you have 31 paise, and ticket cost is between
1 to 31, you have to give the exact denominations for the ticket. Find all the
no. of possible denominations you may prdict and you must be left wid atleast
few paise?
451)
Direction problems. A man goes 50 km North, then turned left walked 40 km, then
turned right? In which direction is he in?
Ans:
North
**************************
__________ALL_THE_BEST___________
__________ALL_THE_BEST___________
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
c)
9
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 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
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 Ms RAPETEKA
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 consists of a round
table with 9 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
are 36 readers, how many reading spots do not have even a single reader?
a) 8 b) None
c) 16 d) 15
Q12) Ferrari S.P.A is an
Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari
in 1928 as Scuderia Ferrari , the company sponsored drivers and manufactured
race cars before moving into production of street-legal vehicles in 1947 as
Feraari S.P.A. Throughout its history, the company has been noted for its
continued participation in racing, especially in Formula One where it has
employed great success .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 km, find the total time
taken for Rohit to drive that distance.
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.
c) 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 appreciate nature and art. The dwarves and the
men engage in physical games. The 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 set of laboratory experiments . To identify
the mice, the lab has prepared labels with 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 b)19 c)
20 d) 21
Q16)There are two water tanks A and B, A is much
smaller than B. While water fills at the 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
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
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 tumbler
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 is
a) $270 b)
$324 c) $216 d) $ 648
Q19) 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?
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-19th century. These seem to have attacked the
tomato crops in England this year. The tomato crops have reduced and the price
of the crop has risen up . The price has already gone up to $45 a box from $27
a box a month ago. How much more would a vegetable vendor need to pay to buy 27
boxes this month over what he would have paid last month?
a) $27 b) $ 18
c) $45 d) $
486
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 bicycles?
•
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 world’s greatest
repositories of books and journals. It has a beautiful reading room facing
Manhattan’s 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?
•
6
•
none
•
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
•
465
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
•
19
•
17
7) A pie is to be divided among 20 people. A man eats 3
pieces, a woman eats 2 pieces and a child eats ½ 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
8) A toy train produces at least 10 different tunes when it
moves around a circular toy 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.
•
32
•
64
•
36
•
6
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
•
Peter/Oliver
•
Peter
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?
•
West
•
South
•
North
•
East
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
•
Brown
•
None of the above
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
(solution:c)
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
c)
9
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 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 ?
- Thursday
- Tuesday
- Monday
- Sunday (solution:a)
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?
c)
1 in 16
ci)
1 in 125
cii) 1
in 32
ciii)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 Ms RAPETEKA
Bird
Vegetable
City
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 (solution:b)
Q11) In the reading room
of a library, there are23 reading spots. Each reading spot consists of a round
table with 9 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
are 36 readers, how many reading spots do not have even a single reader?
a)
8
b)
None
c)
16
d)
15
(solution:d)
Q12) Ferrari S.P.A is an
Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo
Ferrari in 1928 as Scuderia Ferrari , the company sponsored drivers and
manufactured race cars before moving into production of street-legal vehicles
in 1947 as Feraari S.P.A. Throughout its history, the company has been noted
for its continued participation in racing, especially in Formula One where it
has employed great success .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 km, find the total time
taken for Rohit to drive that distance.
a)
20.72
b)
5.18
c)
238.25
d)
6.18
(solution:b)
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.
c)
The first 35 statements are true and the last 35 are false.
ci)
The first 35 statements are false and
the last 35 are false.
(solution:d)
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 appreciate nature and art. The dwarves and the
men engage in physical games. The 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 (solution:d)
Q15) A research lab in Chennai requires 100 mice and
75 sterilized cages for a certain set of laboratory experiments . To identify
the mice, the lab has prepared labels with 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
b)
19
c)
20
d)
21 (solution:b)
Q16)There are two water tanks A and B, A is much
smaller than B. While water fills at the 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
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 (solution:a)
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 tumbler
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 is
a)
$270
b)
$324
c)
$216
d)
$ 648
(solution:b)
Q19) 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?
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) 2.4 mph
b) 4 mph
c) 4.8 mph
d) 5 mph (solution:d)
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-19th century. These seem to have attacked the
tomato crops in England this year. The tomato crops have reduced and the price
of the crop has risen up . The price has already gone up to $45 a box from $27
a box a month ago. How much more would a vegetable vendor need to pay to buy 27
boxes this month over what he would have paid last month?
a)
$27
b)
$ 18
c)
$45
d)
$ 486
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.
e)
Alok has no winning strategy.
Question
1: There is a toy train that can make 10 musical sounds. It makes 2 musical
sounds after being defective. What is the probability that same musical sound
would be produced 5 times consecutively? (1 of )?
Answer: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32
32 will be the answer. (My friends got similar question with "3 times consecutively"; for that the answer would be 8)
Question 2: Peter and Paul are two friends. The 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?
Luckily, I had this question twice. Initially I left it because of the confusing statement but when I got the same question second time with different names of the friends (Pooja and Prasad) then I gave a little extra time and solved it.
Answer: 20 years. I simply substituted the answers in the statement to find the best fit, because the statement in the question was pretty confusing.
Question 3: The ages of two friends is in the ratio 6:5. The sum of their ages is 66.After how many years will the ages be in the ratio 8:7?
Answer: 12 years.
Question 4: (There was a long story, I'll cut short it). There are 5 materials to make a perfume: Lilac, Balsalmic, Lemon, Woody and Mimosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsalmic go together. Woody and Mimosaic go together, Woody and Balsalmic never go together. Lemon can be added with any material. (Actually they had also mentioned how much amount of one can be added with how much quantity of the other; but that's not needed for the question.) All of the following combinations are possible to make a perfume except:
1) Balsalmic and Lilac
2) Woody and Lemon
3) Mimosaic and Woody
4) Mimosaic and Lilac
Answer: Mimosaic and Lilac. I have made the question here really easy to understand. But the actual question was in a twisted language and it was difficult to find the answer. It took me some time to get to the answer.
Question 5: A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings.
Answer: 8 * 7 = 56
Question 6: A triangle is made from a rope. The sides of the triangle are 25 cm, 11 cm and 31 cm. What will be the area of the square made from the same rope?
Answer: 280.5625
Question 7: What is the distance between the z-intercept from the x-intercept in the equation ax+by+cz+d=0. (I do not remember the values of a,b,c,d)
Question 8: An athlete decides to run the same distance in 1/4th less time that she usually took. By how much percent will she have to increase her average speed?
Answer: 33.33%
Question 9: A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 35 kmph, what s the average speed of the pony? (This question was really long with loads of irrelevant statement)
Question 10: There is 7 friends (A1, A2, A3....A7). If A1 have to have shake with all with out repeat. How many hand shakes possible?(I dont know the exact question but like this only)
Answer: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32
32 will be the answer. (My friends got similar question with "3 times consecutively"; for that the answer would be 8)
Question 2: Peter and Paul are two friends. The 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?
Luckily, I had this question twice. Initially I left it because of the confusing statement but when I got the same question second time with different names of the friends (Pooja and Prasad) then I gave a little extra time and solved it.
Answer: 20 years. I simply substituted the answers in the statement to find the best fit, because the statement in the question was pretty confusing.
Question 3: The ages of two friends is in the ratio 6:5. The sum of their ages is 66.After how many years will the ages be in the ratio 8:7?
Answer: 12 years.
Question 4: (There was a long story, I'll cut short it). There are 5 materials to make a perfume: Lilac, Balsalmic, Lemon, Woody and Mimosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsalmic go together. Woody and Mimosaic go together, Woody and Balsalmic never go together. Lemon can be added with any material. (Actually they had also mentioned how much amount of one can be added with how much quantity of the other; but that's not needed for the question.) All of the following combinations are possible to make a perfume except:
1) Balsalmic and Lilac
2) Woody and Lemon
3) Mimosaic and Woody
4) Mimosaic and Lilac
Answer: Mimosaic and Lilac. I have made the question here really easy to understand. But the actual question was in a twisted language and it was difficult to find the answer. It took me some time to get to the answer.
Question 5: A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings.
Answer: 8 * 7 = 56
Question 6: A triangle is made from a rope. The sides of the triangle are 25 cm, 11 cm and 31 cm. What will be the area of the square made from the same rope?
Answer: 280.5625
Question 7: What is the distance between the z-intercept from the x-intercept in the equation ax+by+cz+d=0. (I do not remember the values of a,b,c,d)
Question 8: An athlete decides to run the same distance in 1/4th less time that she usually took. By how much percent will she have to increase her average speed?
Answer: 33.33%
Question 9: A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 35 kmph, what s the average speed of the pony? (This question was really long with loads of irrelevant statement)
Question 10: There is 7 friends (A1, A2, A3....A7). If A1 have to have shake with all with out repeat. How many hand shakes possible?(I dont know the exact question but like this only)
Question
11: There are two pipes A and B. If A filled 10 liters in a hour B can
fills 20 liters in same time. Likewise B can fill 10, 20, 40, 80,160….if B
filled in (1/16) th of a tank in 3 hours, how much time will it take to fill
completely?
Answer: 7 hours
Answer: 7 hours
Question
12: Keywords: Sports readers, 10 tables, 4chairs per table, each table has
different number of people then how many tables will left without at least one
person?
Ans: 6
Ans: 6
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