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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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0
-1
1
2
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Question # 2
G is geometric mean between a and b if a, G, b is
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A.P.
G.P.
H.P.
None of these
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Question # 3
The polar form of complex number x ≠ I y =
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r cos θ+ r sin θ
r cos θ+ is sin θ
cos θ+ r sin θ
i cos θ+ i sin θ
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Question # 4
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A variable
A constant
0
None of these
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Question # 5
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Question # 6
The minimum value of the quadratic function f(x) = x2 +6x -2, is
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11
6
-11
13
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Question # 7
(a +b
i
) -c (c +d
i
) =
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(a +b) = (c +d)
(a +c) + i(b +d)
(a -c) + (c -d)
i
(a -c) +(b -d)
i
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Question # 8
An open sentences formed by using the sign of equality '=' is called ______
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An identity
An equation
A polynomial
None of these
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Question # 9
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Question # 10
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0
1
13
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Question # 11
sec (-360°) = ______
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0
1
2
3
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Question # 12
There is no integer n for which 3
n
is
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Odd
even
Natural
Prime
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Question # 13
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Question # 14
If y=sin(ax+b) then y4=________:
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sin4(ax+b)
a4sin(ax+b)
a4cos(ax+b)
None of these
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Question # 15
The locus of the point of intersection of tangents to an ellipse at two points, sum of whose eccentric angles is constant is
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A parabola
A circle
An ellipse
A st. line
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Question # 16
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Associative law of addition
Commutative law of addition
Additive identity
Closure law of addition
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Question # 17
6 is
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A prime integar
An irrational number
A rational number
An odd integer
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Question # 18
For the equation |x
2
| + |x| -6 =0, the roots are
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One and only one real number
Real with sum one
Real with sum zero
Real with product zero
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Question # 19
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I quadrant
II quadrant
III quadrant
IV quadrant
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Question # 20
Fifteen girls compete in a race. The first three places can be taken by them in
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3! ways
12! ways
15 x 14 x 13 ways
42 ways
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Question # 21
If the flag-staff 6 meters high placed on the top of a tower. Makes the shadow 2√3 m on the ground, then the angle of elevation of the sun is
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30
ο
35
ο
45
ο
60
ο
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Question # 22
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Question # 23
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1 / 2
1 / 3
1 / 4
None of these
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Question # 24
The direction cosines of y-axis are
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1, 0, 0
0, 1, 0
0, 0, 1
1, 1, 1
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Question # 25
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Question # 26
What is the period of 6 sin x=?
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π
-π
π/2
2π
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Question # 27
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Question # 28
Every relation, which can be represented by a linear equation in two variables, represents a
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Relation
Cartesian product
Function
Graph
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Question # 29
Trival solution of homogeneous linear equation is
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(0, 0, 0)
(1, 2, 3)
(1, 3, 5)
a.b and c
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Question # 30
The coefficient of x
10
in the expansion (x
3
+3/x
2
)
10
is
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1700
17023
17027
17010
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Question # 31
By expressing cos 113° in terms of trigonometrical ratios, answer will be
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− cos 76° = -0.7093
− cos 65° = -0.4258
− cos 67° = -0.3907
− cos 62° = -0.8520
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