ECAT Pre Engineering Entry Test With Answers

image
image
image

ECAT Pre Engineering Entry Test

Sr. # Questions Answers Choice
1
2
3
4
5 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
6
7 x<sup>-2</sup>+ c not possible
8 a<sup>x</sup>In a + c a<sup>x</sup>+ c x a<sup>x</sup>+ c
9 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
10 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
11 e<sup>x</sup>+ c e<sup>-x</sup>+ c x e<sup>x</sup>+ c not possible
12 H.M. between 3 and 7 is
13 cosec x + c -cosec x + c -sec x + c sec x + c
14 The harmonic mean between a and b is
15 cosec x + c -cosec x + c -sec x + c sec x + c
16 cot x + c tan x + c -cot x + c -tan x + c
17 1 + tan<sup>2</sup>x + c tan x + c -tan x + c cot x + c
18 an A.P. a G.P. a H.P. None of these
19 sin x + c -sin x + c cos x + c -cos x + c
20 cos x + c -sin x + c -cos x + c sin x + c
21 No term of a harmonic sequence can be 0 1 2 3
22 A sequence of number whose reciprocals form an arithmetic sequence is called Geometric sequence Arithmetic series Harmonic sequence Harmonic series
23
24 Find the sum of the infinite geometric series 2 + 1 + 0.5 + .... 3.5 3 4 None of these
25
26
27 0 1 2 3
28 The series obtained by adding the terms of a geometric sequence is called Infinite series Arithmetic series Geometric series Harmonic series
29 The sum of an infinite geometric series exist if | r | &lt; 1 | r | &gt; 1 r = 1 r = -1
30 If a1, r are first term and the common ratio respectively then the sum of an infinite geometric series is
Download This Set
×