Wednesday, May 14, 2008

TCS PAPER ON 19th FEBRUARY 2008

QUANTITATIVE APTITUDE ( 38 QUES, 40 MINUTES):
The most easy and scoring section. You need not to do anything. No need to buy R. S. Awarwal or something else. Just practice 5-10 sample papers form Freshersworld that will be more than enough. I am giving some of the question with explanation that were in my examination:------
1. 58, 27, 12, __, 2 .
Sol. 27*2+4 = 58, 12*2+3 = 27, 5*2+2 = 12, 2*2+1 = 5, 1*2+0 = 2 ….ans = 5

2. How the given string how many Y’s are followed by L that are not followed by PYLYPQMYLPMLYLLYQMYYLQYLPLYAMLYLM Sol. Only count those pair by YL and discard pairs of YLP ……..ans =4.

3. First & second, third and fourth, fifth and sixth letter of word SENSATIONALY are interchanged find the 12th letter form right.
Sol. The interchanged word is ESSNTAIONALY. Now start counting frm Right the 12th letter is E.

4. What is the largest prime number which can be stored in 6 bit register?
Sol. As the register is 6 bit long we can store max number 63 (if all bits are 1).But 63 is not prime the largest prime number is 61.
Ans = 61.

5) Number of faces, vertices and edges of a cube
Ans. 6, 8, 12

6. If g(0) = 1, g(1) = -1 and g(n) = g(n-1)-g(n-2) then calculate g(6).
Sol. Start with g(2) = g(1) + g(0) = -1 - 1 = -2, g(3) = g(2) + g(1) = -2+1 = -1, g(4) = g(3) + g(2) = -1+1 = 0, g(5) = g(4) + g(3) = 0+1 = 1, g(6) = g(5) + g(4) = 1-0 = 1
ans = 1.

7. which of the following heaving highest standard deviation.
a. 9,0,9,0,9,0 b. 9,-9,0,9,0,-9 c. 9,-9,9,-9,9,-9 d. 9,9,9,9,9,9
Ans. C, standard deviation is 18(i.e. the difference between two consecutive terms is highest).

8. Find the result of the following expression- M (737, 7) +R (3.4) +T (7. 7)-R (6.4) if, M denotes modules operation, R denotes round-off, T denotes truncations?
Sol): 2+3+7-6 = 6

9. In a city, temperature at noon varies according to -t^2/6 + 4t + 12, where t is elapsed time. Find the percentage change in temperature from 3pm. to 6 pm.
Sol): In equation first put t=3,
we will get 25.5........................... (1)
Now put t=6,
we will get 42.............................. (2)
So %change = ((42-25.5)/42)*100)
=39.3

10. Find d Odd one out? a. Oracle b. Linux c. Ingress d. DB2
Ans. All other except Linux which is an operating system are Database Management Systems.

11. If FHQWVDO is written as CENTRAL, what is TXLFN?
ANS. The first letter of the word has been changed 3 letter backward in alphabetic order so we change T to Q. As there were no other options starting with Q we need not to find each alphabet. So the answer is the word in the options starting with Q

12. 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

9999 4.72
Sol): Y= log10(X)

13.Find d unit of given expression - (Force*Distance)/ (Velocity *Velocity)?
Sol): (M*a*L)/(LT-1*LT-1) = (M*LT-2*L)/(L2T-2) = Mass

14. A can copy 20 pages in 4 hours and A and B can copy 70 pages in 10 hours. How much time B will take to copy 26 pages
Sol. A’s 1 hour work =20/4=5 pages , A+B’s 1 hour work = 7 pages So B’s 1 hour work =7-5=2 pages. Time taken by B to copy 26 pages =26/2=13 hours.

15. A, B and C are the mechanisms used separately to reduce the wastage of fuel by 20%, 30% and 10%. What will be the fuel economy if they were used combined?
Sol): Method is (80/100*70/100*90/100)*100 = 50.4
So, economy = 100-50.4 = 49.6

16. Find d Odd one out? JAVA b. LISP c. Small talk d. Eiffel
Ans. All other except LISP are object oriented programming languages.

17. 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

18. Find the value of 232 in the base 5
Sol. Divide 232 by 5 until the number is reduced to zero and select the reminder from bottom to up
ans = 1412

19. A power unit is there by the bank of the river of 900 mtr width. a cable is made from power unit to power a plant opposite to that of the river and 3000 mtr away from the power unit. The cost of the cable bellows water Rs5 / mtr and cost of cable on the bank is Rs 4/ mtr. Find the pt where the cable cut through the river.
a.2800 b. 3000 c. 2100 b.3900
Sol. Just use simple trigonometry
Ans: 2100

20. Given $ means Tripling and % means change of sign then find the value of $%$6-%$%6 ?
Ans. 72 (values are not exactly same)

21. In two dimensional array X(6,9) each element occupies 4 bytes of memory. If the address of first element X(1,1)is 3000 then what will be the address of the last element X(2,3) ?
Sol. Remember that we have been asked to write to find address of last element not of first element. 3000+8*4+3*4+3(for last element) = 3047

22. My flight takes of at 2am from a place at 18N 10E and landed 8 Hrs later at a place with coordinates 36N 80W. What is the local time when my plane landed.
Ans. Every 1 deg longitude is equal to 4 minutes . If west to east add time else subtract time) and measure the longitude form GMT do the difference between the longitude is 90 degree=90*4=360minutes=6 hours. Don’t take into account the value of N and S if any. So the local time of landing = 2+8-6=4am.

23 Which of the following are orthogonal pairs? a. 3i+2j b. i+j c. 2i-3j d. -7i+j
Sol. The product of slope(y/x) of two equations should be -1
ans = a & c

24. Find d singular matrix from a given set of matrices?

a) 2 3 b) 4 16 c) 0 5 d) 9 8

4 5 1 4 1 5 4 5
Sol): b (Hint: det (A) = 0 i.e. ((a11+a22)-(a12+a21))

25. What is the equation of the given line?





ans: x -y=0

26. If n=10*18*38 which of the following is not an integer?
a. n/40 b. n/90 c. n/72 d. n/35
Sol. (10*18*38)/35 is not an integer so ans = d (n/35)

27.28.29. A Venn diagram was given and 3 questions were asked on it. Just understand the problem carefully and solve it (only addition, subtraction and multiplication and division required)
The question was based on that this number of people know c , this number of people java and this number of people know .net

30.31.32. A bar graph was given and question was asked on it. It was something about club membership (just addition, multiplication etc.) Other questions were also simple but I don’t exactly remember those. Just do some more previous papers those will be helpful to you.

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