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TCS PLACEMENT PAPER SECTION 2: QUANTITATIVE AND LOGICAL REASONING.
Posted Date: 13 Mar 2008 Resource Type: Articles/Knowledge Sharing Category: Placement Papers
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Posted By: ashish singh Member Level: Diamond
Rating:  Points: 5
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SECTION 2: QUANTITATIVE AND LOGICAL REASONING.
Most of the question are repeated in various TCS exams.
1. In a two-dimensional array, X (9, 7), with each element occupying 4 bytes of
memory, with the address of the first element X (1, 1) is 3000, find the address of X
(8, 5).
2. In the word ORGANISATIONAL, if the first and second, third and forth, forth and
fifth, fifth and sixth words are interchanged up to the last letter, what would be the
tenth letter from right?
3. What is the largest prime number that can be stored in an 8-bit memory?
4. Select the odd one out. a. Java b. Lisp c. Smalltalk d. Eiffel.
5. Select the odd one out a. SMTP b. WAP c. SAP d. ARP
6. Select the odd one out a. Oracle b. Linux c. Ingress d. DB2
7. Select the odd one out a. WAP b. HTTP c. BAAN d. ARP
8. Select the odd one out a. LINUX b. UNIX c. SOLARIS d. SQL SEVER
9. Select the odd one out a. SQL b. DB2 c. SYBASE d. HTTP
10. The size of a program is N. And the memory occupied by the program is given by
M = square root of 100N. If the size of the program is increased by 1% then how
much memory now occupied?
11. A man, a woman, and a child can do a piece of work in 6 days. Man only can do it
in 24 days. Woman can do it in 16 days and in how many days child can do the
same work?
12. In which of the system, decimal number 384 is equal to 1234?
13. Find the value of the 678 to the base 7.
14. Number of faces, vertices and edges of a cube
15. Complete the series 2, 7, 24, 77,__
16. Find the value of @@+25-++@16, where @ denotes "square" and + denotes
"square root".
17. Find the result of the following expression if, M denotes modulus operation, R
denotes round-off, T denotes truncation: M(373,5)+R(3.4)+T(7.7)+R(5.8)
18. If TAFJHH is coded as RBEKGI then RBDJK can be coded as ---------
19. G(0)=-1, G(1)=1, G(N)=G(N-1) - G(N-2), G(5)= ?
20. What is the max possible 3 digit prime number?
21. A power unit is there by the bank of the river of 750 meters width. A cable is made
from power unit to power a plant opposite to that of the river and 1500mts away
from the power unit. The cost of the cable below water is Rs. 15/- per meter and
cost of cable on the bank is Rs.12/- per meter. Find the total of laying the cable.
22. The size of a program is N. And the memory occupied by the program is given by
M = square root of 100N. If the size of the program is increased by 1% then how
much memory now occupied?
23. In Madras, temperature at noon varies according to -t^2/2 + 8t + 3, where t is
elapsed time. Find how much temperature more or less in 4pm to 9pm.
24. The size of the bucket is N kb. The bucket fills at the rate of 0.1 kb per millisecond.
A programmer sends a program to receiver. There it waits for 10 milliseconds. And
response will be back to programmer in 20 milliseconds. How much time the
program takes to get a response back to the programmer, after it is sent?
25. A man, a woman, and a child can do a piece of work in 6 days. Man only can do it
in 24 days. Woman can do it in 16 days and in how many days child can do the
same work?
26. If the vertex (5,7) is placed in the memory. First vertex (1,1) ‘s address is 1245 and
then address of (5,7) is ----------
27. Which of the following are orthogonal pairs? a. 3i+2j b. i+j c. 2i-3j d. -7i+j
28. If VXUPLVH is written as SURMISE, what is SHDVD?
29. If A, B and C are the mechanisms used separately to reduce the wastage of fuel by
30%, 20% and 10%. What will be the fuel economy if they were used combined.
30. What is the power of 2? a. 2068 b.2048 c.2668
31. Complete the series. 3, 8, --, 24, --, 48, 63
32. Complete the series. 4, -5, 11, -14, 22, ---
33. A, B and C are 8 bit no’s. They are as follows:
A 1 1 0 1 1 0 1 1
B 0 1 1 1 1 0 1 0
C 0 1 1 0 1 1 0 1
Find ( (A-B) u C )=?
Hint :
A-B is {A} – {A n B}
34. A Flight takes off at 2 A.M from northeast direction and travels for 11 hours to
reach the destination which is in north west direction. Given the latitude and
longitude of source and destination. Find the local time of destination when the
flight reaches there?
35. 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?
36. A is twice efficient than B. A and B can both work together to complete a work in 7
days. Then find in how many days A alone can complete the work?
37. A finish the work in 10 days. B is 60% efficient than A. So how days does B take to
finish the work?
38. A finishes the work in 10 days & B in 8 days individually. If A works for only 6 days
then how many days should B work to complete A’s work?
39. Given the length of the 3 sides of a triangle. Find the one that is impossible? (HINT
: sum of smaller 2 sides is greater than the other one which is larger)
40. Find the singularity matrix from a given set of matrices?(Hint det(A)==0)
41. A 2D array is declared as A[9,7] and each element requires 2 byte. If A[ 1,1 ] is
stored in 3000. Find the memory of A[8,5] ?
42. Sum of slopes of 2 perpendicular st. lines is given. Find the pair of lines from the
given set of options which satisfy the above condition?
43. (a) 2+3i (b)1+i (c) 3-2i (d) 1-7i .Find which of the above is
orthogonal.
44. (Momentum*Velocity)/(Acceleration * distance ) find units.
45. The number 362 in decimal system is given by (1362)x in the X system of numbers
find the value of X a}5 b) 6 c) 7 d) 8 e) 9
46. Given $ means Tripling and % means change of sign then find the value of
$%$6-%$%6
47. My flight takes of at 2am from a place at 18N 10E and landed 10 Hrs later at a place
with coordinates 36N70W. What is the local time when my plane landed.
a) 6:00 am b) 6:40am c)7:40 d)7:00 e)8:00 (Hint : Every 1 deg longitude is equal to
4 minutes . If west to east add time else subtract time)
48. Find the highest prime number that can be stored in an 8bit computer.
49. Which of the following set of numbers has the highest Standard deviation?
1,0,1,0,1,0
-1,-1,-1,-1,-1,-1
1,1,1,1,1,1
1,1,0,-1,0,-1
50. Match the following:
1. Male - Boy ---> a. A type of
2. Square - Polygon ---> b. A part of
3. Roof - Building ---> c. Not a type of
4. Mushroom - Vegetables ---> d. A superset of
Ans: 1- d, 2- a, 3- b, 4- c
51. Match the following.
1. brother – sister ---> a. Part of
2. Alsatian – dog ---> b. Sibling
3. sentence – paragraph ---> c. Type of
4. car - steering ---> d. Not a type of
Ans. 1-b, 2-c, 3-a, 4-d
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