Mathematics ECAT Pre Engineering Online Test With Answers

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Mathematics ECAT Pre Engineering Online Test

Sr. # Questions Answers Choice
1 a sec(ax + b) + c - a sec(ax + b) + c
2 a cot(ax + b) + c - a cot(ax + b) + c
3 a tan(ax + b) + c - a tan(ax + b) + c
4 n! 0! 1 None of these
5 a sin(ax + b) + c - a sin(ax + b) + c
6 a cos(ax + b) + c - a cos(ax + b) + c
7
8
9
10 3 6 0 None of these
11 (n + 2) (n + 1)n in factorial form is
12 n(n - 1) (n - 2) in factorial form is
13 56 7 8 8/7
14
15 5x<sup>4 + c</sup> 1/6 x<sup>6</sup>+ c 5x<sup>2</sup>+ c 1/5 x<sup>6</sup>+ c
16 6! = ______ 360 720 6.5.4 None of these
17
18 8 . 7 . 6. 5 in factorial form is
19 8 1/56 56 None of these
20 0! = ______ 0 1 2 Not defined
21 For a positive integer n n! = n(n + 1) n! = n(n+1)! n! = n(n - 1 ) n! = n(n - 1)!
22 If n is a positive integer then n! is (n - 1) (n - 2) .....3,.2.1 n(n - 1) (n - 2) ...3.2.1 n(n - 1 ) ( n -2) ... 3 None of these
23 1 + 2 + 3 + ...... + n = ______
24 The third term of the sequence an= (-1)n-1(n-7) is ______ 8 4 -4 8
25 The fifth term of the sequence an= 2n + 3 is ______ 13 -13 8 3
26 If a1= 3, r = 2, then the nth term of the G.P. is 2.3<sup>n-1</sup> 3.2<sup>n</sup> 3.2<sup>n+1</sup> 3.2<sup>n-1</sup>
27 If a1, r and anare the first term, common ratio and the nth term respectively of a G. P. then an= a<sub>1</sub>r<sup>n</sup> a<sub>1</sub>r<sup>n-1</sup> a<sub>1</sub>r<sup>n+1</sup> a<sub>1</sub>r
28 2 -3/2 1 0
29 1, 1/2, 0 1, 2, 1 1, 2, 3 1, 2, 0
30 The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is 18 6 3 0
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