ECAT Pre Engineering Entry Test With Answers

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ECAT Pre Engineering Entry Test

Sr. # Questions Answers Choice
1 0 -2 1 4
2 If f(x) = x3- 2x2+ 4x -1, then f(-2) = ? 0 -25 5 45
3 -2 -1 1 2
4 One-one but not onto One-one and onto Onto but not one-one Neither one-one nor onto
5
6 Which of the following function form 1 to itself are bi-jective F(x) = x + 3 F(x) = x<sup>5</sup> F(x) = 3x + 2 F(x) = x<sup>2</sup>+ x
7 πis the period of the function |sin x| + |sin x| sin<sup>4</sup>x + cos x sin (sin x) + sin (cos x) None of these
8 The periods of the function f(x) = x[x] is 1 2 Non periodic None of these
9 The period of the function f(x) = sin4x + cos4x is <span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span> <span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span>/2 2<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span> None of these
10 The period sin2θis <i style="text-align: center;">π<sup>2</sup></i> <i style="text-align: center;">π</i> 2<i style="text-align: center;">π</i> <i style="text-align: center;">π/2</i>
11 <span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span> <i style="text-align: center;">2π</i> <i style="text-align: center;">π/2</i> None of these
12 One-to-one and onto One-to-one but not on to Onto but not one-to-one Neither one-to-one nor onto
13 2 4 8 12
14 [0,1[ [0, 1] ]0, 1[ None of these
15
16
17 The number of points of intersection of two curves y = 2 sin x and y = 5x2+ 2x + 3 is 0 1 2 None of these
18 1 2 3 None of these
19
20 The general value ofθsatisfying the equation 2 sin2θ- 3 sinθ-2 = 0 is
21 From an empty set 1 2 &gt;2
22 7 5 6 None of these
23 If sin (πcosθ) = cos (πsinθ), then which of the following is correct?
24 The solution of the equation cos2θ+ sinθ+ 1 = 0 lies in the interval
25 One root of the equation cos x - x + 1/2 = 0 lies in the interval
26 General solution of tan 5θ= cot 2θis
27 The smallest positive root of the equation tan x - x = 0 lies on
28 A finite non-empty set Null set Both a and b None of these
29 The number of solution of the equation tan x + sec x = 2 cos x lying in the interval [0, 2π] is 0 1 2 3
30 If sin 6θ+ sin 4θ+ sin 2θ, thenθ=
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