TCS Placement Paper – 13
1. A sum of Rs.3000 is distributed among A, B, and C. A gets 2/3 of what B and C got together and c
gets 1/3 of what A and B got together, C's share is?
a. Rs 750
b. Rs 800
c. Rs 950
d. Rs 600
2. The numbers 272738 and 232342, when divided by n, a two digit number, leave a remainder of
13 and 17 respectively. Find the sum of the digits of n?
a. 7
b. 8
c. 5
d. 4
3. Assume that f(1)=0 and f(m+n)=f(m)+f(n)+4(9mn-1). For all natural numbers (integers>0) m and
n, what is the value of f(17)?
a. 5436
b. 4831
c. 5508
d. 4832
4. The perimeter of a equilateral triangle and regular hexagon are equal. Find out the ratio of their
areas?
a. 3 : 2
b. 2 : 3
c. 1 : 6
d. 6 : 1
5. What is the remainder of (32^31^301) when it is divided by 9?
a. 3
b. 5
c. 2
d. 1
6. Which of the following numbers must be added to 5678 to give a reminder 35 when divided by
460?
a. 980
b. 797
c. 955
d. 618
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TCS Placement Paper – 13
7. A girl entered a store and bought x flowers for y dollars (x and y are integers). When she was
about to leave, the clerk said, “If you buy 10 more flowers I will give you all for $$2, and you will
save 80 cents a dozen”. The values of x and y are:
a. (15 , 1)
b. (10 , 1)
c. (5 , 1)
d. Cannot be determined
8. If a number is divided by 357 the remainder is 5, what will be the remainder if the number is
divided by 17?
a. 9
b. 3
c. 5
d. 7
9. In how many possible ways can write 3240 as a product of 3 positive integers a,b and c.
a. 450
b. 420
c. 350
d. 320
10. On door A - It leads to freedom
On door B - It leads to Ghost house
On door C - door B leads to Ghost house
The statement written on one of the doors is wrong.
Identify which door leads to freedom.
a. A
b. B
c. C
d. None of these
11. 70, 54, 45, 41……. What is the next number in the given series?
a. 35
b. 36
c. 38
d. 40
12. How many positive integers less than 500 can be formed using the numbers 1,2,3,and 5 for
digits, each digit being used only once.
a. 52
b. 68
c. 66
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TCS Placement Paper – 13
d. 34
13. In particular language if A=0, B=1, C=2,…….. ..
(in the form of alphabets only)
a. BDAI
b. ABDI
c. DABI
d. CIDA
, Y=24, Z=25 then what is the value of ONE+ONE
14. Find the number of perfect squares in the given series 2013, 2020, 2027,................, 2300
(Hint 44^2=1936)
a. 1
b. 2
c. 3
d. Cannot be determined
15. What is in the 200th position of 1234 12344 123444 1234444....?
a. 1
b. 2
c. 3
d. 4
16. 2345 23455 234555 234555........... what was last 2 numbers at 200th digit?
a. 23
b. 34
c. 45
d. 55
17. There are equal number of boys and girls in a class. If 12 girls entered out, twice the boys as girls
remain. What was the total number of students in a class?
a. 36
b. 60
c. 48
d. 24
18. a bb ccc dddd eeeee .........What is the 120th letter?
a. m
b. n
c. o
d. p
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19. There are 120 male and 100 female in a society. Out of 25% male and 20% female are rural. 20%
of male and 25% of female rural people passed in the exam. What % of rural students have
passed the exam?
a. 20%
b. 22%
c. 25%
d. None of these
20. 1/7 th of the tank contains fuel. If 22 litres of fuel is poured into the tank the indicator rests at
1/5th mark. What is the quantity of the tank?
a. 375
b. 385
c. 395
d. 305
21. What is the probability of getting sum 3 or 4 when 2 dice are rolled
a. 1/9
b. 2/9
c. 5/36
d. 7/36
22. On the fabled Island of Knights and Knaves, we meet three people, A, B, and C, one of whom is a
knight, one a knave, and one a spy. The knight always tells the truth, the knave always lies, and
the spy can either lie or tell the truth.
A says: "C is a knave."
B says: "A is a knight."
C says: "I am the spy."
Who is the knight, who the knave, and who the spy?
a. ACB
b. ABC
c. BAC
d. BCA
23. If 3y + x > 2 and x + 2y ≤ 3, What can be said about the value of y?
a. y = -1
b. y >-1
c. y <-1
d. y = 1
24. If the price of an item is decreased by 10% and then increased by 10%, the net effect on the
price of the item is
a. A decrease of 99%
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b. No change
c. A decrease of 1%
d. An increase of 1%
25. If m is an odd integer and n an even integer, which of the following is definitely odd?
a. (2m+n)(m-n)
b. (m + n2) + (m - n2)
c. m2 + mn + n2
d. m +n
26. What is the sum of all even integers between 99 and 301?
a. 40000
b. 20000
c. 40400
d. 20200
27. There are 20 balls which are red, blue or green. If 7 balls are green and the sum of red balls and
green balls is less than 13, at most how many red balls are there?
a. 4
b. 5
c. 6
d. 7
28. If n is sum of two consecutive odd integers and less than 100, what is greatest possibility of n?
a. 98
b. 94
c. 96
d. 99
29. x2 < 1/100, and x < 0 what is the highest range in which x can lie?
a. -1/10 < x < 0
b. -1 < x < 0
c. -1/10 < x < 1/10
d. -1/10 < x
30. In the given figure, If the sum of the values along each side is equal. Find the possible values a,
b, c, d, e, and f.
a. 9, 7, 20, 16, 6, 38
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b. 4, 9, 10, 13, 16, 38
c. 4, 7, 20, 13, 6, 38
d. 4, 7, 20, 16, 6, 33
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