ECAT Pre Engineering Test Preparation

ECAT Pre Engineering Entry Test

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