ECAT Computer Science Entry Test With Answers

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ECAT Computer Science Entry Test

Sr. # Questions Answers Choice
1
2 (n + 2) (n + 1) n= ______
3 9. 8. 7. 6= ______
4 In(x<sup>2</sup>- x + 1)<sup>4</sup>+ c
5 In(x<sup>2</sup>- x + 1) + c In(2x - 1) + c
6 If n is a negative integer n! is 1 0 Unique Not defined
7 (x<sup>3</sup>- 3x<sup>2</sup>)<sup>8</sup>+ c 3x<sup>2</sup>- 6x + c
8 0 -1 1 2
9 4(x<sup>3</sup>- 3x<sup>2</sup>)<sup>3</sup>+ c 3x<sup>2</sup>- 6x + c
10 The probability that a person A will be alive 15 years hence is 5/7 and the probability that another person B will be alive 15 years hence is 7/9. Find the probability that both will be alive 15 years hence 4/63 5/9 45/49 None of these
11 x<sup>2</sup>+ 2x + c (x<sup>2</sup>+ 2x -1)<sup>4</sup>+ c
12 The sample space for tossing a coin twice is {H, T} {HH, HT, TH, TT} {H, T, HH} {HH, HT, TT}
13 In f(x) + c f(x) - c
14 P(A) + P(B) P(A) - P(B) P(A) . P(B) P(A) / P(B)
15 The probability that a slip of number divisible by 4 is picked from the slips bearing numbers 1, 2, 3, ...10 is 1/5 1/4 1/3 1/2
16 A dice is rolled. The probability that the dots on the top are greater than 4 is 1/6 1/3 1/2 1
17 The probability to get an odd number in a dice thrown once is 6 1 1/6 1/2
18 The sample space for tossing a coin once is {T, T} {H, H} {H, T} None of these
19
20 sec 3x + c - cosec 3x + c
21 5 20 9 4
22 tan 3x + c cot 3x + c - cot 3x + c
23 110 220 1320 None of these
24 - cot 4x + c cot 4x + c tan 4x + c - tan 4x + c
25
26 cos 2x + c - cos 2x + c tan 2x + c cot 2x + c
27 x<sup>3</sup>- x<sup>2</sup>+ x + c 6x - 2 + c x<sup>3</sup>- 2x + c
28 The number of the diagonals of a 6 sided figure is 15 21 9 6
29 2x - 3x + c x<sup>2</sup>- 3x + c
30 a f(x) + c f(x) + a
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