ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 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
2 1 + 2 + 3 + ...... + n = ______
3 The third term of the sequence an= (-1)n-1(n-7) is ______ 8 4 -4 8
4 The fifth term of the sequence an= 2n + 3 is ______ 13 -13 8 3
5 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>
6 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
7 2 -3/2 1 0
8 1, 1/2, 0 1, 2, 1 1, 2, 3 1, 2, 0
9 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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11
12
13
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15 If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively then A, G, H are in A. P. G. P. H. P. None of these
16
17 x<sup>-2</sup>+ c not possible
18 a<sup>x</sup>In a + c a<sup>x</sup>+ c x a<sup>x</sup>+ c
19 H1, H2, H3, .... Hnare called n harmonic means between a and b if a, H1, H2, H3, ... Hnb are in H.P. G.P. A.P. None of these
20 A number H is said to be the H.M. between a and b if a, H, b are in A.P. G. P. H. P. None of these
21 e<sup>x</sup>+ c e<sup>-x</sup>+ c x e<sup>x</sup>+ c not possible
22 H.M. between 3 and 7 is
23 cosec x + c -cosec x + c -sec x + c sec x + c
24 The harmonic mean between a and b is
25 cosec x + c -cosec x + c -sec x + c sec x + c
26 cot x + c tan x + c -cot x + c -tan x + c
27 1 + tan<sup>2</sup>x + c tan x + c -tan x + c cot x + c
28 an A.P. a G.P. a H.P. None of these
29 sin x + c -sin x + c cos x + c -cos x + c
30 cos x + c -sin x + c -cos x + c sin x + c
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