TCS - Placement Paper - 23 Sep 06 - Bangalore Apptitude Section

APTITUDE SECTION:
1.If g (0)=1,g (1)=1 and g (n)= g (n-1) + g (n –2). Find g (6).
a) 9 b) 13 c) 21 d) 7

2.A plane moves from 9°N60°E to 9°N60°W. If the plane starts at 2 AM and takes 10 hours to reach the destination, find the local arrival time.
a) 4.30 AM b) 6.00 AM c) 4.00 AM d) 10.00AM

3. Select the odd one out. a) Java b) Lisp c) Smalltalk d) Eiffel.
a) Lisp. b) Java. c) Eiffel. d) Smalltalk.

4. Select the odd one out
a) Linux b) Oracle c) DB2 d) Ingress.

5. Number of faces, vertices and edges of a cube
a) 6,8,12 b) 8,12,8 c) 8,6,12 d) 12,8,6

6. If M denotes modulus operation, R denotes round-off, T denotes truncation Find the value of the following expression :( 373,5)+R (3.4)+T (7.7)+R (5.8)
a) 21 b) 16 c) 19 d) 13

7. Which of the following are orthogonal pairs?
a) 5i+3j b) i+j c) 3i-5j d) -7i+j
A) (a)& (c). B) (b)&(d). C) (a)&(d). D) (c)&(d).

8. Given the length of the 3 sides of a triangle. Find the one that is impossible?
a) (5,5,11) b)(6,4,9) c)(4,3,8) d)(5,5,5)

9. Find the singularity matrix from a given set of matrices? (Hint det (A)==0)
a) 2 0 b) 5 -3 c) 4 6 d) 3 4
3 5 - 5 3 3 7 2 0
a) c b) a c) b d) d

10.Match the following
a) Sentence Paragraph 1) Not a type of
b) Basmati Wheat 2) Siblings
c) Brother Sister 3) A type of
d) Cow Mammal 4) A part of
A->4,B->1,C->2,D->3
A->2,B->3,C->1,D->4
A->3,B->4,C->1,D->2
A->2,B->1,C->4,D->3

11. Which of the following set of numbers has the highest Standard deviation?
a) 1,0,1,0,1,0 b) -1, -1, -1, -1, -1, -1 c) 1,1,1,1,1,1 d) 1,1,0, -1,0, -1

12. A building with height D shadows up to G. A neighbour building with what height shadows C feet.
a) C/D*G b) C+D/G c) C-D*G d) (C*D)/G

13. A bus started from the bus stand at 8 AM and after staying 30 minutes at a destination returns back to the bus stand. The Destination is 27 miles from the bus stand. The Speed of the bus is 18mph. In the return journey the bus travels with 50% fast speed.
At what time it is returns to the bus stand.
a) 1 PM b) 12 PM c) 11 AM d) 10.30 AM
14.Complete the series. 5,9,11,15, __, 21,23
a) 18 b) 19 c) 24 d) 17

15. Which shape will be obtained by using these values of x, y?
X Y
0 0.00001
10 1.02
100 1.72
1000 3.00

16. If DPYGP is coded as BRAIN then EMXCT is coded as ____________?
a) CHAIR b) COBER c) COVER d) CEGER

17. A can copy 50 papers in 10 hours while both A & B can copy 70 papers in 10 hours. Then for how many hours required for B to copy 26 papers?
a) 13 hrs b) 18hrs c) 12hrs d) 15hrs.

18. The size of a program is N and the memory occupied by the program is given by M = 4000sqr_root(N). If the size of the program is increased by 1% then how much % increase is there in the memory?
a) 0.22% b) 0.5% c) 0.8% d) 0.35%

19. One year ago Pandit was three times his sister's age. He will be only twice her age next year. How old will Pandit be after five years?
a) 8 b) 12 c) 11 d) 13

20. A car is filled with four and half gallons of fuel for a round trip . If the amount of fuel taken while going is 1/4 more than the amount taken for coming, what is the amount of fuel consumed while coming back?
a) Less than 2 gallons b) 2 gallons c) 2 1/2 gallons d) More than 3 gallons
ANSWERS: 1) b 2) c 3) c 4) a 5) a
6) c 7) a 8) d 9) c 10) a
11) b 12) d 13) c 14) d 15)Y=Log10(X)
16) c 17) a 18) b 19) c 20) b
21).A, B and C are 8 bit no's. They are as follows:
A -> 1 1 0 0 0 1 0 1
B -> 0 0 1 1 0 0 1 1
C -> 0 0 1 1 1 0 1 0 ( - =minus, u=union)
Find ((A - C) u B) =?
1.55 2.64 3.32 4. 53
Ans:55
hint:A-C is A intersection C bar first do negation of C then do A intesersection C

22) The progam size is N.The memory occupied by the program is M=4000sqrt(N). If the program size is increased by 1%. Then what is the percentage increase in memory?
1. 0.1% 2.0.4% 3.0.5% 4.2%
Ans: 0.5%

Approach: Sqrt of 101
23). What is the unit of the following?
(power*time) / (velocity*velocity)
1.mass 2.distance 3.velocity 4.speed
Ans:mass
Approach: power=work/time
hence numerator=(work*time)/time=work
work=Force*distance
Force=mass*acceleration
accelaration=distance/time^2


now numerator is (mass*distance^2) / (time^2)
denominator is (distance^2) / (time^2) since velocity=distance/time
24). What is the power of 2?
a. 2068 b.2048 c.2668 ANS: (B). 2048

25). Select the odd one out a. WAP b. HTTP c. BAAN d. ARP

26).Find the value $%$(9) - %$%(9) Where $ means doubling and % means change of sign........
1.38 2. -2 3. 50 4.-54
Ans:-54
Approach: (2)(-1)(2)(9) -(-1)(2)(-1)(9)

27)ACUTE is coded as ZBTSD then DMFBS stand for. ANS: CLEAR
28)In the following string find the occurrences of F followed by U but that is not followed by R.
U F R U F D D Y W Z U U F F...............
29)For temperature a function is given according to time : ((t**2)/6) + 4t +12 what is the temperature rise or fall between 6.pm to 9 pm
3 Questions based on Data Interpretations were asked. Among which
A Venn diagram Problem(I don’t remember the figures).
A Bar Chart Problem(Very Simple).
References: For Aptitude section it is enough if we are thorough with all types of problems from R.S.Agarwal and refer previous question papers