TCS Interview Questions

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201.   There is a problem with blood relations. A man is saying while pointing to a person who is
painting like this:” I am the only son to my father. His father is the son my father”. Find the
relation to him with the painting person.
ans: his son
202.  There is problem on probabilities. There are gloves and hats with three different colors with
some totals are given for each type. Then asked to find out the probability of taking the pair of
glove and hat of same color in dark.
203.  There is a bacteria which has the probability of die 1/3 of its total number or it may tripled.
Find out the probability
A.      P=1/3+(2/3*p^3)
B.      P=2/3+(2/3*p^3)
C.      P=2/3+(1/3*p^3)
D.      P=2/3+(2/3*p^3)
I marked it as A. check it out
204.   There are two tanks A,B. A will be fill up 1ltr in one hour. B tank will fill up double in every
hour (like 10, 20, 40, 80, 160…..). if the tank B is filled 1/16 in 13 hours how much time it will
take to fill up totally.
 Ans: 17 hours   (note:  here no need with A tank details. but they gave to confuse, all problems are
like this ,avoid unnecessary data)
  205.   In a hotel we can order two types of varieties, but we can make 6 more varieties in home. One
can want the four varieties with two from hotel must. Find how many ways one can order.
Ans: 12 ways
206.   There is a series 13,14,27,30,55,62,?, 126. Find the missing.
This is combination of two series; 13,27 55, ? and 14, 30, 62, 126  (14, 14*2+2(30),30*2+2(62),….)
13, 13*2+1 (27), 27*2+1(55), ?=55*2+1=111 .For this numbers may be changed but the logic is
same.
207.   There are three frnds x, y , z  gone to excursion with their girl frnds. there they wanted to find
their weights but their GF’s are not accept to check their weight( all unnecessary data) . Then
they check weights as x, y, z individually and then x and y, y and z, x and z ,then all(x,y,z). the
last measure is 171. Then find the avg of all these seven measures.
208) Two tanks A and B. A fills 1 ltr/1 hr... b fills 10, 20, 30..... per hour. if this is (passage
unnecessary). if 1/4th tnk of b takes 15 hrs to fill how much it time will t take to fill complete
tank?
209) 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
210) 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
211) 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=1
212) A toy train can make 10 sounds sound changes after every 4 min.................
..................................... .......................................... 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
213) ) 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
  214) 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
215) 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 wid options. muliply each option wid 2 and subtact the obtained no from 234. if it is
exactly divisible by 4, that is the ans....
216) A father has 7 penny’s with him and 1 water melon is for 1p, 2chickoos for 1p, 3 grapes foe
1p.he has three sons. How can he share the friuts equally?

Ans: 1 watermelon,2chickoos,1grape
217)  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 )
218) 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).
219) 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 u will get it..
220) 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 u can do it... simple eqtns
221)  In a room .....................  ( unwanted stuff)............................. 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
222) passage................... joe is taller than jerry and 3 pillers. kistern  is shorter than joe and 2
pillers is jerry shorter/taller than kistern ?
 Ans:
223) a volume of A are having in a container of sphere... how many semi hemispheres of  B
volume each will be rqred to transfer all the A in to semi hemispheres.....?
 Ans: A= x B  224) 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
 Ans:
 225) 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?
Ans:
226) 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)
Ans:
227)  difrence b/w two nubers is 4.and their product is 17.then find the sum of their squers? Ans:
228)  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..
Ans:
229.) some ages problem............ then asked the answer in binary
Ans:
230) .................(some chetta chikkati sollu)..unwanted data............ folowed by  a formula
diameter d = 10*(t-14), t>14... then what id diameter after t=40..?
Ans:
231) Some denominations question... like u have 31 ps, and tckt cost is between 1 to 31, u have
to give the exact denominations for the ticket. find all the no of possible denominations u may
prdict and u must be left wid atleast few paise...?
232) 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
Questions
233)   Out of 6 children the youngest is boy then find the probability that all the remaining
children are boys.

Ans: 1/2^5 = 1/32
234)      A man went 1mile to east den 1mile to north (un wanted stuff) and killed a bear what is the
color of the bear?

Ans: White
  235)      Some age, average related problems (practice R. S.Aggarwal )

236)      (1/2) of a number is 3 times more than the (1/6) of the same number..?

237)      There are two pipes A and B. If A filled 10 liters in 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?
       Ans: 7 hours
238)      In a market 4 man are standing .the average age of the four before 4years is              45, after
some days one man is added and his age is 49.what is the average weight of all?
Ans: 49
239)      One train travels 200m from A to B with 70 km/ph. and returns to A with 80kmph, what is the
average of their speed?
Ans: apply 2xy/x+y
240) The three sides of a triangle are given.18, 18, 28 cms and this triangle is conveted into
a square .so what will be the area of the square generated?
Ans: - (18+18+28)/4. Then you will get the 1 side of a square and now find the area of a
square.ie, side^2
241) An equation of the form 7x+17y+ 3z=54. Find the difference between x intercept and z
intercept?
Hint:  x/a+y/b+z/c=1
Ans: convert the above equation to this form and see the difference between a and c then you
will get the answer
242) Permutation problem don’t remember exactly, but it was almost like there are n
people sitting. Find the number of handshakes
243) Average wt of class is (some number) kg after adding wt of the teacher average wt of class
becomes some number kg then what is the wt of the teacher??

244) A pizza shop, there were 2 kinds of pizzas available. But now they have introduces 8 new
types, a person buy two different type pizzas of new type in how many ways he can select?
Ans: 8 X 7=56
245) Series Problem like 4 12 x 44 46 132 134. Find x? (I could not solve out this in exam).
246) There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Som
unrelated stuff) Linda is taller than Chelsey and taller than 2 of 1000 pillars. Juli is shorter than
Linda. Find the correct sentence?
 a) Linda is shorter among them
  b) Chelsey is taller than Juli c) Chelsey is shorter than Juli
d) Cannot determine who is taller among Chelsey and Juli
Ans:: d

247) A toy train can make 10 sounds sound changes after every 4 min.................
..................................... .......................................... now train is defective and can make only 2
sounds................. ................................................................................. Find probability that
same sound is repeated 3 times consecutively (1 OUT OF __)?
1.16
2.8
3.12
4.4
Ans: (1/2)*(1/2)*(1/2) = (1/8)
248) Probability problem (little tricky)
249) Some Statement and Conclusion type problems
250) 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 u divide 7p so that u will provide the exact
change required and carry as less coins as possible?
a) 8   b) 7   c) 5   d) 3   (I cud not solve out the answer in exam)
251) Dhoni and Ponting are waiting for the toss to happen. Umpire found that the coin to be
tossed is missing. Ponting then takes a dice (1-6) from his pocket and asks the umpire to toss
with it. Umpire feels both the captains may not get fair chance with dice. Dhoni den suggests a
solution to umpire which den wud give fair chance to both captains. What would be the idea of
Dhoni?
a) Toss the dice if even no comes captain wil win the toss and if it is odd he loses.
(It’s the only option I remember and I think its da answer)
252) Now pet's age is to times when paul was once. But at that time paul's age=pet's current age
,how old is pet?


253) Block has 10,9,5 size, how many unit cube is needed to make a block of that size?

254) 23 people are there, they are shaking hands together, how many hand shakes possible, if
they are in pair of cyclic sequence.

Ans-22

255) 10men and 10 women are there, they dance with each other, is there possibilty that 2 men are dancing with same women and vice versa.

Ans-never

256) A lady took out jacket and gloves, which are avialable in blue 26, yellow 30 and red 56.
Power goes off, she can distinguish between gloves and jacket but not in colors. What's the
possibilty their she will pick up pair of gloves of each color


257) B is taller than j and 3 pillers. P is shorter than B and 2 pillers is j shorter/taller than P?

Ans-irrelevant question

258) Sangakara and ponting selects batting by using a dice, but dice is biased so to resolve ponty
takes out a coin, what is the probability that dice shows correct option.


259) In school there are some bicycles and 4wheeler wagons. One Tuesday there are 58 wheels
in the campus. How many bicycles are there?

Ans: 7

260. Two bowls are taken, one contains water and another contains tea.one spoon of water is
added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and
added to the second bowl. Which statement will hold good for the above?

(Ans: second liquid in first bowl is smaller than the first mixture in second bowl)

261. Which is the smallest no divides 2880 and gives a perfect square?

a.1 b.2 c.5 d.6
Ans: c

262. Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be
divisible by4?

a.31250 b.97656 c.78125 d.97657
Ans: c

263. One problem on (a3-b3)/(a2+ab+b2)

Ans: ‘a-b’

264. Rearrange and categorize the word ‘RAPETEKA’?

Ans: bird(parakeet)

265. Key words in question (Fibonacci series, infinite series, in the middle of the question one
number series is there….I got the series 3 12 7 26 15 b ?

Ans:54
 (Logic: 3*2+1=7 12*2+2=26

7*2+1=15 26*2+2=54)

266. A father has 7 penny’s with him and 1 water melon is for 1p, 2chickoos for 1p, 3 grapes foe
1p.he has three sons. How can he share the fruits equally?

Ans: 1 watermelon,2chickoos,1grape

267. A lies on mon, tues, wed and speak truths on other days, B lies on thur, fri, sat and speaks
truths on other days.. one day a said I lied today and B said I too lied today. What is the day?

268. Man, Bear, North, South, walks.

Ans: White

269. (1/2) of a number is 3 times more than the (1/6) of the same number?

Ans: 9(for any no it can be true)

270. There are two pipes A and B. If A filled 10 liters in 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?

Ans:7 hours

271. KEYWORDS:T.Nagar,Chennai,1-100,prime numbers b/n 140-180,How many 2’s are
there?

Ans: 20 (Not only 2’s ,1’s,3’s,4’s,5’s,6’s,7’s,8’s,9’s,0’s also 20)

272. One question has last part like difference between two terms is 9 and product of two
numbers is 14, what is the squares of sum of numbers?
Ans:109

273. A man is standing before a painting of a man and he says I have no bro and sis and his
father is my father’s son?

Ans: His son

274. What is the value of [(3x+8Y)/(x-2Y)]; if x/2y=2?
Ans:10 {the numerical may change)

275. A pizza shop made pizzas
with to flavours.in home there are ‘N’ different flavors, in that ‘M’ flavors are taken to made
pizza.in how many ways they can arrange?
(Logic: NcM )

276. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is
3 times youngest child’s age and eldest child’s age is two times of sum of other two children.
What is the age of eldest child?
Ans:18
277. In a market 4 man are standing .the average age of the four before 4years is 45,aftyer some
days one man is added and his age is 49.what is the average weight of all?
Ans: 49

278. KEYWORDS: one organization ,material ,labor and maintenance are in the ratio of
4:6:7,the material cost is:100,what is the total cost?
Ans: 425

279. KEYWORDS: density, reluctance, sensitivity, voltage ,current, what is the resistance
Formula is “R=V/I”

280. 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


281. In a school for a student out of a 100 he got 74 of average for 7 subjects and he got 79
marks in 8th subject. what is the average of all the subjects?
Ans:

the xtra 5 marks will be distributed in 8 semester, 5/8=.625
74+.625=74.625

282. In a question ,last part has ,the ages of two people has the ratio of 6:5 and by adding the
numbers we get 44,after how many years the ratio would be 8:7?
Ans: 8

283. Two years before Paul’s age is 2times the Alice age and the present age of Paul is 6times
the Alice. what is the presents Paul’s age???( 3years) “u try to solve this question once”

284.One train travels 200m from A to B with 70 km/ph. and returns to A with 80kmph, what is
the average of their speed?

Aptitude test
285. A man whose age is 45 yrs has 3 sons named John,jill,jack. He went to a park weekly
twice.he loves his sons very much. On a certain day he find # shopkippers sailing  different
things. An apple cost 1penny, 2chocalate costs 1penny.& 3 bananas cost 1 penny. He has
bought equal no. of apple, chocolate & banana for each son. If the total amount he invest is
7 penny then how many he has bought from each piece for his son?
a)1app,1cho,1 banana
b)1 app,2cho,3 banana
c)1app,2cho,1banana
 D)2 app,2cho,2 banana
286. A scientist was researching on animal behavior in his lab. He was very interested in
analyzing the behavior of bear. For some reason he travelled  1mile in north direction &
reached at north pole.there he saw a bear .he then followed the bear around 1 hr with a speed of 2km/hr in east direction.After that he travelled in south direction & reached at his
lab in2 hrs. Then what is the colour of the bear? I think ans is white
a)white b)black c)gray d)brown

287. How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are
divisible by 4 if repetition of digits is allowed?

288. Calcutation based on A^3-B^3 formula

289. A long story based ALICE AND WONDER LAND after that simple age question .

290. 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

291. A direct question on blood relation.

292. A big Question describing a story ARYABHATT AND HIS DAUGHTER LILAVATI
After that a number is given eg 2088.by what if we divide the number it ll become a perfect
square?

2293 1st
 a story. Then a simple ratio problem. The question was if the ratio of age of two
persons is 5:6,sum of present age is 33,then in how many years the ratio of their age
becomes 7:8?
a)3 b)4 c)5 d)6


294. A very big story.on Tuesday  college parking place have only 4wheelers &
bicycles,total no of wheels was 182,yhen what is the possible no of bicycles?
a)20 b 19 c 18 d 17

295. Simple question bt big one on average age.sth like a,b,c weigheted separately 1st
 a,b,c
,then a& b,then b&c ,then c&a at last abc,the last weight was 167,then what will be the avg
weight of the 7 weight?

296. Arrange the jumbled letters to make a perfect word RGTEI(sth like this). Find to which
category it belong? (plz do not these type q becoz its time consuming)
A)town b)vegetable c)animal d) bird

297) Simple puzzle based on IQ
3 persons a,b,c were there A always says truth,B lies on Monday,tusday,& Wednesday.but
C lies on thrusday,Friday & saturday .one day A said”that B &  C said to  A that” B said
“yesterday way one of the days when I lies”,C said that”yesterday way one of the days
when I lies too”.then which day was that?
Ans:   a Sunday  b thrusday  c  saterday d….

298) 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

299) 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?

300) Question based on pipe & ciston (geometrical series) A and B tanks r there.1/8th
 of the tank B is filled in 22Hrs.what is time to fill the tank full?

301) 5 friends went for week end party to Mc donalds restrurent  and there they measure there
weights .some irrrrrrrrrrrrrrrrilevent data.finel measure is 155 kg then find the average weight of
5 people?
ans:155/5=31

302) 2 pots are there.1st
 pot is filled with ink and 2nd
 pot is filled with water.take 1 spoon of ink
from 1st
 pot and pore it in 2nd
 pot.and take 1 spoon of mixture from 2nd
 pot and pore it in 2nd
 pot
then which one of following is true?
ans: Water in 1st
 pot  is less than the ink in 2nd
 pot.

303) There r ten spots in library and each spot has 4 tables and ten readers ar there . 10 student
come into liberary and want 2 study in how many ways that they sit in d liberary so that no chair
would be blank?
ans :1

304.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)

305.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.

306.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.

307.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.

308.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

309.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

310.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)

311.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%

312.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)

313.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)
314.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
315.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


316.) Two pipes A and B fill at A certain rate B is filled at 10,20,40,80,. If 1/16 of B if filled
in 17 hours what time it will take to get completely filled
Ans 21

317.) In a shopping mall with a staff of 5 members the average age is 45 years. After 5
years a person joined them and the average age is again 45 years. What’s the age of 6th
person?

318) Find (4x+2y)/ (4x-2y) if x/2y=2

319) Find average speed if a man travels at speed of 24kmph up and 36kmph down at an
altitude of 200m. Formula is 2xy/(x+y)

320.) Same model as 4th question. But it is on flat surface. Formula is same 2xy/(x+y).

321) Six friends go to pizza corner there are 2 types of pizzas. And six different flavors are
there they have to select 2 flavors from 6 flavors. In how many ways we can select?
Ans: 6C2

322) 3, 15, x, 51, 53,159,161. Find X
Ans: 17

323) 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
324) 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 )?
Ans: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32

325) (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

326) 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

327) 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)

328) 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

329) (1/3) of a number is 3 times more than the (1/6) of the same number?
Ans is 18

330) 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

331) 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

332) 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

333) 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).

334 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

335) 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.

336) 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.

337) 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.

338) 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.

339) 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

340) 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.


341) 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

342) 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
12
C2

343) 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

344) 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
  345) 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

346) A lady took out jacket and gloves, which are avialable in blue 26, yellow 30 and red
56. Power goes off, she can distinguish between gloves and jacket but not in colors. What's
the possibilty their she will pick up pair of gloves of each color.

347) Two bowls are taken, one contains water and another contains tea.one spoon of water
is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl
and added to the second bowl. Which statement will hold good for the above?
(Ans: second liquid in first bowl is smaller than the first mixture in second bowl)
348) Rearrange and categorize the word ‘RAPETEKA’?
Ans: bird(parakeet)
349) A lies on mon, tues, wed and speak truths on other days, B lies on Thurs, Fri, Sat and
speaks truths on other days. One day a said I lied today and B said I too lied today. What is
the day?
350) One grandfather has three grandchildren, two of their age difference is 3, eldest child
age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two
children. What is the age of eldest child?
Ans: 18



351) Now pet's age is to times when paul was once. But at that time paul's age=pet's
current age ,how old is pet?

352) Block has 10,9,5 size, how many unit cube is needed to make a block of that size?

353) 23 people are there, they are shaking hands together, how many hand shakes
possible, if they are in pair of cyclic sequence.
Ans-22

354) 10men and 10 women are there, they dance with each other, is there possibilty that 2
men are dancing with same women and vice versa.
Ans-never

355) A lady took out jacket and gloves, which are avialable in blue 26, yellow 30 and red
56. Power goes off, she can distinguish between gloves and jacket but not in colors. What's
the possibilty their she will pick up pair of gloves of each color

356) B is taller than j and 3 pillers. P is shorter than B and 2 pillers is j shorter/taller than
P?
Ans-irrelevant question

357) Sangakara and ponting selects batting by using a dice, but dice is biased so to resolve
ponty takes out a coin, what is the probability that dice shows correct option.

358) In school there are some bicycles and 4wheeler wagons. One Tuesday there are 58
wheels in the campus. How many bicycles are there?
Ans: 7

359. Two bowls are taken, one contains water and another contains tea.one spoon of
water is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the second bowl. Which statement will hold good for the above?
(Ans: second liquid in first bowl is smaller than the first mixture in second bowl)

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

361. Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be
divisible by4?
a. 31250 b.97656 c.78125 d.97657
Ans: c

362. One problem on (a3-b3)/(a2+ab+b2)
Ans: ‘a-b’

363. Rearrange and categorize the word ‘RAPETEKA’?
Ans: bird(parakeet)

364. Key words in question (Fibonacci series, infinite series, in the middle of the question
one number series is there. I got the series 3 12 7 26 15 b?
Ans:54
(Logic: 3*2+1=7 12*2+2=26
7*2+1=15 26*2+2=54)

365. A father has 7 penny’s with him and 1 water melon is for 1p, 2chickoos for 1p, 3
grapes foe 1p. He has three sons. How can he share the fruits equally?
Ans: 1 watermelon, 2chickoos, 1grape

366. A lies on mon, tues, wed and speak truths on other days, B lies on thur, fri, sat and
speaks truths on other days.. one day a said I lied today and B said I too lied today. What is
the day?

367. Man, Bear, North, South, Walks.
Ans: White

368. (1/2) of a number is 3 times more than the (1/6) of the same number?
Ans: 9(for any no it can be true)

369. There are two pipes A and B. If A filled 10 liters in 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?
Ans: 7 hours

370. Keywords: T.Nagar, Chennai, 1-100, prime numbers b/n 140-180, How many 2’s are
there?
Ans: 20 (Not only 2’s ,1’s,3’s,4’s,5’s,6’s,7’s,8’s,9’s,0’s also 20)

371. One question has last part like difference between two terms is 9 and product of two
numbers is 14, what is the squares of sum of numbers?
Ans: 109

372. A man is standing before a painting of a man and he says I have no bro and sis and his
father is my father’s son?
Ans: His son

373. What is the value of [(3x+8Y)/(x-2Y)]; if x/2y=2?
Ans: 10 {the numerical may change)
 374. A pizza shop made pizzas with to flavours.in home there are ‘N’ different flavors, in
that ‘M’ flavors are taken to made pizza.in how many ways they can arrange?
(Logic: NcM )

375. One grandfather has three grandchildren, two of their age difference is 3, eldest child
age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two
children. What is the age of eldest child?
Ans: 18

376. In a market 4 man are standing. The average age of the four before 4 years is 45,
aftyer some days one man is added and his age is 49. What is the average weight of all?
Ans: 49

377. Keywords: One organization, material, labor and maintenance are in the ratio of 4:6:7,
the material cost is: 100, what is the total cost?
Ans: 425

378. Keywords: Density, Reluctance, Sensitivity, Voltage, Current, what is the Resistance
Formula is “R=V/I”

379. 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

380. Keywords: Die, card, coin, b/n 2 to 12
Ans: All are equal

381. In a school for a student out of a 100 he got 74 of average for 7 subjects and he got
79 marks in 8th subject. what is the average of all the subjects?
The extra 5 marks will be distributed in 8 semester, 5/8=.625
74+.625=74.625

382. In a question ,last part has ,the ages of two people has the ratio of 6:5 and by adding
the numbers we get 44,after how many years the ratio would be 8:7?
Ans: 8

383. Two years before Paul’s age is 2times the Alice age and the present age of Paul is
6times the Alice. What is the presents Paul’s age?( 3years) “You try to solve this question
once”

384. One train travels 200m from A to B with 70 km/ph. and returns to A with 80kmph,
what is the average of their speed?

385.  Which is the smallest no divides 2880 and gives a perfect square?
a.1    b.2   c.5   d.6
Ans: c
386. In school there are some bicycles and 4wheeler wagons.one Tuesday there are 190
wheels in the campus. How many bicycles are there?
Ans: 15
387. Man, Bear, North, South, walks. Colour of bear(Hint: North pole )
Ans: White

388. A father has 7 penny�s with him and 1 water melon is for 1p, 2chickoos for 1p, 3
grapes foe 1p.he has three sons. How can he share the fruits equally? Ans: 1 watermelon, 2chickoos, 1grape

389. (1/2) of a number is 3 times more than the (1/6) of the same number?
Ans: 9

390. There are two pipes A and B. If A filled 10 liters in 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?
Ans: 7 hours
391. In a market 4 man are standing .the average age of the four before 4years is 45,aftyer
some days one man is added and his age is 49.what is the average weight of all?
Ans: 49

392. 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 donot have atleast a single
reader.
(1)  5     (2)   6      (3)  7   (4)  None  
Ans 6. because different no of persons are sitting on round table. So possible differnt
combinations for 10 people will be 1 2 3 4. because max 4 people can sit on round table. so
round tables left are 6.

393. A person do rock climbing at an altitude of 800 m.He go up by 7 mph. and come down
by 9 mph. what was his av speed.
Ans (7+9)/2=8.

394. A boy want to make a cuboid of dimension 5m, 6m, 7m. from small cubes of .03 m3.
later he realized he can make same cuboid by making it hollow. Then it take some cubes
less. What is the no. of these cube.
Ans. Vol of solid cuboid= 5*6*7=210 m3. Vol of its inner cuboid by removal of which the
cuboid will be hollow= (5-2)*(6-2)*(7-2)=60 m3, then ans will be 60/.03

395. Two years ago A was 6 times older than B. Now he is 2 times older than B. What is the
age of A.
Ans. Age of A=5, Age of B= Two and half.

396. What is thew value of (78*78*78-45*45*45)/(78*78+78*45+45*45)
Ans. 78-45=33.  a3-b3=(a-b)(a2+ab+b2)

397) Two pipes A and B fill at A certain rate B is filled at 10,20,40,80,. If 1/16 of B if filled
in 17 hours what time it will take to get completely filled
Ans 21
398) In a shopping mall with a staff of 5 members the average age is 45 years. After 5
years a person joined them and the average age is again 45 years. What’s the age of 6th
person?
399) Find (4x+2y)/ (4x-2y) if x/2y=2
400] Find average speed if a man travels at speed of 24kmph up and 36kmph down at an
altitude of 200m.formula is 2xy/(x+y)
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
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?
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
12
C2
  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

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

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

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.

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

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 )

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
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
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






















 25 Sample Questions of TCS


 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 ?

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

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                   (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.

d)  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.

  d)  Alok has no winning strategy.

                                 














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