ECAT Pre Engineering Entry Test With Answers

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ECAT Pre Engineering Entry Test

Sr. # Questions Answers Choice
1 If f(x) = tan x then f(0) is 0 1 1/2
2 0 1 1/2
3 If f(x) = cos x then f(0) is 0 1 1/2
4 If f(x) = x3- 2x2+ 4x -1 then f(2) is 7 -16 16 -9
5 -1 1 2 -2
6 If f(x) = x3- 2x2+ 4x -1 then f(0) is 0 1 -1 none of these
7 0 3 9 -3
8 2 -1 8 not defined
9 0 -4 none of these
10 2 0
11 2 6
12 0 1 2 None of these
13 Which of the following is a factor of x3- 3x2+ 2x - 6 x + 2 x + 3 x - 3 x - 4
14 Find a if 1 is a root of the equation x2+ ax + 2 = 0 3 -3 2 0
15 If x - 2 is a factor of ax2- 12x + a = 2a, then a = ______ -5 5 0 1
16 2 -2 none of these
17 If x2- 7x + a has remainder 1 when divided by x + 1, then a = ______ -7 7 0 None of these
18 If f(x) = x2- x then f(-2) is 4 6 2 0
19 If f(x) = x2- x then f(2) is 4 6 2 0
20 If f(x) = x2-x then f(1) is 0 1 2 3
21 If f(x) = x2-x then f(0) is 0 1 2 3
22 Two quadratic equation in which xy term is missing and the coefficients of x2and y2are equal, give a linear equation by ______ Addition Subtraction Multiplication Division
23 If f(x) = -x3then f(-2) is -2 -4 -8 8
24 If f(x)= x3 then f(-2) is -2 -4 -8 8
25 The polynomial x - a is a factor of the polynomial f(x) if and only if f(a) is positive f(a) is negative f(a) = 0 None of these
26 If f(x) = -x2then f(-2) is -2 2 -4 4
27 The product of the four fourth roots of unity is 0 1 -1 None of these
28 If f(x) = (-x)2then f(-2) is 0 2 -4 4
29 If f(x) = x2then f(2) is -2 2 4 -4
30 If f(x) = x2then f(-2) is -2 2 4 -4
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