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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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[0, 0, 0]
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
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Question # 2
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Question # 3
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a
x
a
x
In a
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Question # 4
(2.02)4 s equal to
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16
16.6496
17
18
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Question # 5
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x = f(y)
y = f(x)
x = f(x)
y = f(y)
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Question # 6
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3x
2
+ 2
3x
2
+ 2x + 3
x
3
+ x
2
none of these
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Question # 7
The statement that a group can have more than one identity elements is
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True
False
Fallacious
Some times true
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Question # 8
The set {1, -1, i, -i}
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Form a group w.r.t addition
Form a group w.r.t multiplication
Does not form a group w.r.t multiplication
Not closed under multiplication
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Question # 9
The mid point of the line segment joining the points (3,-1) and (-3,1) is
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(3,-1)
(0,0)
(2,2)
(4,4)
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Question # 10
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Question # 11
sin5θ+sin3θ = _______;
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2sin 4θ cosθ
2cos 4θ sinθ
2cos 4θ cosθ
-2sin 4θ sinθ
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Question # 12
If the roots of ax
2
- bx - c = 0 change by the same quantity, then the expression in a, b, c that does not change is
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Question # 13
If a,β are the roots of the equation x2 + kx +12 = 0 such that a - β = 1, the value of k is
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0
±1
±5
±7
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Question # 14
The maximum value of 12 sin
θ
-9 sin
2
θ
is x
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3
4
5
None of these
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Question # 15
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Question # 16
The points A(3,1),B(-2,-3),C(2,2) are vertices of an (an)
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Right triangle
Equilateral triangle
Isosceles triangle
Scalene triangle
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Question # 17
A quadratic equation in x is an equation that can be witten in the form
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ax
2
+ b = 0
ax
3
+b
2
+c=0
ax
2
+bx+c=0
ax
3
+bx
3
+cx=0
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Question # 18
The sum of all odd numbers between 100 and 200 is
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6200
7500
6500
3750
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Question # 19
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Question # 20
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Question # 21
Domain of cosh x is
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R
R -{0}
[1,∞)
[0,∞)
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Question # 22
The distance of the point (-2 , -3) from x-axis is
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2
-3
3
5
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Question # 23
24 can be written as a product of
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Odd factors
Even factors
Whole factors
Prime factors
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Question # 24
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π / 4
π / 6
π / 3
0
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Question # 25
The root of the quadratic equation are
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3
2
1
4
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Question # 26
The sum of coefficients in the binomial expansion equals to
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2
2
n+1
2
n-1
2
n
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Question # 27
In-radius is denoted by
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r
η
r2
R
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Question # 28
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Question # 29
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3
1
4
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Question # 30
If f(x) = cos x then f(0) is
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0
1
1/2
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Question # 31
If (2,0) is the vertex and y-axis is directrix of parabola then focus is
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(2,0)
(-2,0)
(4,0)
(-4,0)
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