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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The obtuse angle between lines = -2 and y = x +2 is
Choose an answer
120°
135°
150°
140°
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Question # 2
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Question # 3
The equation |x +4| = x has solution
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x = -2
x = 2
x = -4
x = 4
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Question # 4
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A
A'
U
None of these
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Question # 5
Choose an answer
1
5
7
9
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Question # 6
Cofactor of an element a
ij
is defined by
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(-1)
i+j
|A|
(-1)
i+j
M
ij
(-1)
i+j
M
-1
None of these
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Question # 7
General solution of tan 5
θ
= cot 2
θ
is
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Question # 8
cos(π/2-θ) = ________;
Choose an answer
cosθ
sinθ
-cosθ
-sinθ
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Question # 9
2.333....is a
Choose an answer
Irrational no
Complex no
Rational no
None of these
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Question # 10
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Question # 11
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0
1
2
4
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Question # 12
If 4 sin
2
θ
=1, then values of
θ
are
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Question # 13
Cos (
α
+
β
) - cos (
α
-
β
) =
Choose an answer
-2 sin
α
sin
β
2 sin
α
cos
β
-2 sin
α
cos
α
4 sin
α
cos
β
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Question # 14
A and B be two square matrices and if their inverse exist, the (AB)
-1
=
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A
-1
B
-1
AB
-1
A
-1
B
B
-1
A
-1
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Question # 15
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Question # 16
The number of x-intercepts of y= sin x in his period
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0
1
2
3
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Question # 17
Choose an answer
y : x
x : y
-y : x
-x : y
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Question # 18
The roots of the equation ax
2
+ bx + x = 0 are real and distinct if
Choose an answer
b
2
- 4ac <0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 19
A triangle has ____ elements
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3
4
5
6
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Question # 20
The number of significant numbers which can be formed by using any number of the digits 0, 1, 2, 3, 4 but using each not more than once in each number is
Choose an answer
260
356
410
96
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Question # 21
The set of rationals numbers between 0 and I is
Choose an answer
Finite
Null set
Infinite
None of these
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Question # 22
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Question # 23
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Question # 24
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Question # 25
Period of sin x is
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Question # 26
The solution of differential equation:
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dy/dx+y/x = x
2
is :
4xy = x
4
+ c
4x = x
4
= c
4 y = x
4
+ c
4x=4x
3
+ c
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Question # 27
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Question # 28
∫Sec
2
(ax + b) dx is equal to:
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tan
2
(ax + b)
1/a tan
2
(ax + b)
1/atan (ax +b)
tan (ax + b)
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Question # 29
If 2 and 2 are x and y components of vector then its angle with x-axis is
Choose an answer
30
°
45
°
60
°
90
°
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Question # 30
Choose an answer
3 x 2
2 x 3
3 x 3
2 x 2
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Question # 31
Choose an answer
120
5
4
6
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