TCS Placement Paper

TCS Written Paper
Q1. Fill in the missing number in the sequence 5 7 11 ?? 35 67
(a) 24 (b) 33 (c) 19 (d) 18 (e) 25

Q2. In the following series, how many Ws are there such that each W is followed by a C next to it if the C is not followed by an S next to it?
W C W S Q M W C S M C W C C W Q M W
W C Q W C S C W A M C W C M
(a)3 (b) 5(c)6 (d)4 (e)7

Q3. If QMFBTF is coded as PLEASE how will HBJO be coded?
(a)MIND (b) ALERT (c) TRIAL (d) GAIN (e) BRAVE

Q4. Suppose the first and second letters in the word CONSTITUTIONAL was interchanged, also the third and fourth letters, the fifth and sixth etc. Print the letter that would then be the tenth letter counting from the right.
(a) T (b) I (c) N (d) O (e) U

Q5. How would the decimal number 520 be represented in a base -7 number System?
(a) 1564 (b) 1234 (c) 1342 (d) 1562 (e) 1672

Q6. What is the largest prime number that can be stored in an 8-bit word computer?
(a) 199 (b) 251 (c) 201 (d) 233 (e) 257

Q7. If n = 10 x 18 x 22, which of the following is NOT an integer?
(a) n / 132 (b) n / 55 (c) n / 45 (d) n / 20 (e) n / 78

Q8. Which of the following is a power of 3?
a. 2672 b. 2898 c. 2735
d. 2187 e. 2413

Pick the odd one out
Q9. (a) ORACLE (b) INGRESS (c) UNIX (d) DB2 (e) SYBASE

Q10. (a)SAP (b) HTTP (c) WAP (d) SMTP (e) ARP

Q11. The three numbers in brackets represent the length of the sides of a triangle. Which of these does not represent a proper triangle?
(a)(2m, 3m, 4m) (b)(1m, 2m, 4m) (c)(3m, 4m, 5m) (d)(3m, 3m, 3m) (e)(5m, 3m, 5m)

Q12. The three numbers in brackets in each of the following options represents the number of vertices, the number of edges and the number of faces respectively. Find out which of these represents a solid planar cube?
(a) (4,8,12) (b) (8,12,6) (c) (8,6,12) (d) (8,8,8) (e) (12,6,8)

Q13. Which set of data exhibits a higher Standard Deviation?
(a) 7, 0, -7, 7, 0, -7 (b) -7, -7, -7, -7, -7, -7 (c) 7, -7, 7, -7, 7, -7
(d) 7, 7, 7, 7, 7, 7 (e) 7, 7, 7, 0, 7, 7

Q28. Of the four vectors A, B, C, D find out which pair forms an orthogonal set
A = i+j, B = 3i+2j, C = -7i+j, D = 2i-3j
(a)BD (b) AD (c) BC (d) AC (e) AB

Q29. Evaluate the expression
M (373, 7) + R (5.8) + T (7.7) - R (3.4) where M stands for modulo arithmetic, R stands for Round-off operation and T stands for Truncation Operation
(a) 13 (b) 16 (c) 12 (d) 19 (e) 21

Q30. Three independent mechanisms A, B and C have been incorporated for fuel saving in a car producing respectively 30%, 20% and 40% efficiency. Assuming that they operate independently, what is the net fuel efficiency achieved?
(a) 61 % (b) 64% (c) 62% (d) 66.4% (e) 69%

Q31. The scores in class exams and final exam of 2 students are given as below:
Class exam Final exam
3 1.4
3.5 1.65
Find the Class exam score of a student who has scored 6 in the Final exam.
(a) 12.2 (b) 13 (c) 10.1 (d) 10.2 (e) 12.5