TCS Placement Paper - Logical Reasoning and Technical Questions

TCS Previous Years Solved Sample Placement Papers

1. Alok is attending a workshop titled "How to do more with less." How many 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5 (with repetition) that are divisible by 4?

   (a) 375

   (b) 3125

   (c) 500

   (d) 625 (Ans)

2. A circular dartboard of radius 1 foot is at a distance of 20 feet. What is the probability that a dart hits closer to the center than the periphery?

   (a) 0.75

   (b) 1

   (c) 0.25 (Ans)

   (d) 0.5

3. 36 people meet and shake hands in a circular fashion. What is the smallest set of people such that the rest have shaken hands with at least one person in the set?

   (a) 13

   (b) 18

   (c) 11

   (d) 12 (Ans)

4. If 12 programmers take 12 minutes to write 12 lines of code, how long will 72 programmers take to write 72 lines?

   (a) 18

   (b) 72

   (c) 6

   (d) 12 (Ans)

5. After 12 letters are inserted randomly into envelopes, what is the probability that exactly 1 letter is in an improper envelope?

   (a) 0 (Ans)

   (b) 1/12

   (c) 11/12

   (d) 12/212

6. A sheet of 40 statements says, "Exactly n of these are false." Which statements are true?

   (a) The 39th is true; rest are false. (Ans)

   (b) All are false.

   (c) Odds are true; evens are false.

   (d) Evens are true; odds are false.

7. A sheet of paper has statements saying, "At least n of the statements are true." Which are correct?

   (a) Odds are true; evens are false.

   (b) First 26 are false; the rest are true.

   (c) Evens are true; odds are false.

   (d) First 13 are true; the rest are false. (Ans)

8. Ten suspects are questioned. One says, "The person to my right is guilty." Who is guilty?

   (a) A only

   (b) B only

   (c) Both

   (d) Neither

   (e) D (Ans)

9. Given 3 lines form a triangle with sides of length 20, 20, and 30, how many points are equidistant from the lines?

   (a) 4 (Ans)

   (b) 3

   (c) 1

   (d) 0

10. Planet Nigiet uses base 8. In a street numbered 1-1000 (base 8), how many 3s are used?

    (a) 256

    (b) 64

    (c) 192 (Ans)

    (d) 54

11. 10 people meet and shake hands. What is the maximum number of handshakes with no "cycle"?

    (a) 9 (Ans)

    (b) 8

    (c) 7

    (d) 6

12. Paul the octopus predicts match outcomes with success matching probability. If Ghana has a 2/3 chance of winning, what is the probability Paul predicts correctly?

    (a) 5/9 (Ans)

    (b) 1/9

    (c) 2/3

    (d) 4/9

13. Zorba solar blasts melted equatorial ice. Echina diameter formula: d = 4√(t−8). If radius = 8mm, when was the blast?

    (a) 12

    (b) 16 (Ans)

    (c) 8

    (d) 24

14. Alok plays Min-Max Game: N = 9 + X + Y − Z. Optimum N?

    (a) 27

    (b) 0

    (c) 20 (Ans)

    (d) 18