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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
By expressing sin 125° in terms of trigonometrical ratios, answer will be
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sin 65° = 0.9128
sin 55° = 0.8192
sin 70° = 0.5384
sin 72° = 0.1982
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Question # 4
∫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 # 5
A conjunction of two statement p and q is true only if
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p is true
q is true
Both p and q are true
both p and q are false
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Question # 6
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Question # 7
Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0
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(1,4)
(4,2)
(3,1)
(4,1)
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Question # 8
sin(3π/2 -θ)=_______;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 9
Number of ways of writing the letters of WORD taken all at a time is
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24
4
12
6
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Question # 10
Associative law of multiplication
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ab - ba
a(bc) = (ab) c
a(b + c) = ab +ac
(a +b)c = ac + bc
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Question # 11
s > t then
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(s - t)
2
> (t - s)
2
(s - t)
2
< (t - s)
2
(s - t)
2
= (t - s)
2
None
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Question # 12
Geometrically the modulus of a complex number represents its distance from the
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Point (1,0)
Point (0,1)
Point (1,1)
Point (0,0)
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Question # 13
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Question # 14
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Question # 15
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An ellipse
A parabola
A circle
A hyperbola
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Question # 16
The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is
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3 x 3
3 x 2
2 x 5
5 x 2
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Question # 17
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Question # 18
If z
1
=√-36 ,z
2
=√-25,z3 =√-16 then
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15
15i
-15i
-15
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Question # 19
If f(x) = x
2
-x then f(1) is
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0
1
2
3
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Question # 20
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Question # 21
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-1
0
1
Undefined
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Question # 22
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Question # 23
(1, 2) is in the solution of the inequality
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2x + y > 8
2x + y
<
6
2x - y > 1
2x + 3y < 2
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Question # 24
The principal value of sin
-1
(-1/2)
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π/3
π/4
π/6
-π/6
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Question # 25
A set having only one element is called
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An empty set
Universal set
A singleton set
A power set
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Question # 26
QUQ'
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Question # 27
If z
1
= 1 + 2i, z
2
= 3 + 4i then
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z
1
> z
2
z
1
= z
2
z
1
< z
2
None of these
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Question # 28
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Question # 29
If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is
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5
Equal to the moment of the force about origin
0
Cannot be found
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Question # 30
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0
3
9
-3
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Question # 31
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