ECAT Pre Engineering Entry Test With Answers

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ECAT Pre Engineering Entry Test

Sr. # Questions Answers Choice
1 In the expansion of (a + x)nthe general term Tr + 1is
2 a + x is ______ A trinomial A binomial A monomial None of these
3 The point R dividing internally the line joining the points P(x1, y1) and Q(x2, y2) in the ratio K1: K2has the coordinates
4 If n is any positive integer then n! > n2for
5 If a statement S(n) is true for n = 1 and the truth of S(n) for n = k implies the truth of S(n) for = k + 1, then S(n) is true for all Real numbers n Integers n Positive integers n None of these
6 The distance of the point (1.1) from the origin is 0 2
7 3 1 4
8 If n is any positive integer then n2> n + 3 for
9 1 2 3
10 If n is any positive integer then n! > 2n-1for
11 1 2 3
12 If distance between (3,b) and (0,0) is 3 then b = _______ 3 9 0
13 If distance between (a,2) and (0,0) is 2 then a = _______ 0 2 4
14 If distance of (a,b) from origin is 5 then a<sup>2</sup>+ b<sup>2</sup>=5 a = 5 b = 5
15 If distance of (a,b) from y-axis is 2 then a = 2 b = 2 a = b a = 4
16 If distance of (a,b) from x-axis is 2 then a = 2 b = 2 a = b b = 4
17 The distance between the points (2,3) and (3,2) is 5 2 10
18 If d1is the distance between (0,0) and (1,2) and d2is the distance between (0,0) and (-1,-2) the d<sub>1</sub>&lt; d<sub>2</sub> d<sub>1</sub>&gt; d<sub>2</sub> d<sub>1</sub>= d<sub>2</sub> none of these
19
20 If d1is the distance between (0,0) and (1,2) and d2is the distance between (0,0) and (2,1) then d<sub>1</sub>= d<sub>2</sub> d<sub>1</sub>&lt;d<sub>2</sub> d<sub>1&gt;</sub>d<sub>2</sub> none of these
21
22 The distance of the point (-2, -3) from the origin is 2 -5 -3
23 5 10 20 30
24 The distance of the point (2,3) from origin is 5 2 3
25 The distance of the point (-2 , -3) from y-axis is 2 -2 3 -3
26 The distance of the point (-2 , -3) from x-axis is 2 -3 3 5
27 The distance of the point (-2 , 3) from y-axis is 2 -2 3 1
28
29 The distance of the point (2,-3) from y-axis is 2 -3 1 5
30 The distance of the point (2,3) from y-axis is 2 3 5
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