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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Every prime number is also
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Rational number
Even number
Irrational number
Multiple of two numbers
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Question # 2
cos2a=______;
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cos2 a-sin2 a
2cos2 a-1
1-2 sin2 a
All of these
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Question # 3
3/4 is ______
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An odd number
An even number
A natural number
A rational number
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Question # 4
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 # 5
Which of the following is a quadrantal angle
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30°
45°
60°
90°
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Question # 6
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Question # 7
The product of the four fourth roots of unity is
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0
1
-1
None of these
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Question # 8
Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is
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1/12
1/6
5/12
7/12
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Question # 9
The harmonic mean between a and b is
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Question # 10
The domain of the principle cos function is
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Question # 11
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a sec(ax + b) + c
- a sec(ax + b) + c
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Question # 12
f(x) = sin x is:
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an odd function
an even function
an implicit function
an exponential function
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Question # 13
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Question # 14
If a plane passes through the vertex of a cone then the intersection is
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an ellipse
a hyperbola
a point circle
a parabola
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Question # 15
A card is drawn from a pack of cards numbered 2 to 53. the probability that the number on the card is prime number less than 20 is
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2 / 13
4 / 13
5 / 13
8 / 13
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Question # 16
A∪(A∪B)= --------------------
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B
A
A∪B
None of these
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Question # 17
The range of the principal sine function is
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Question # 18
The period of|sin2x| is
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π/2
-π/2
π
π/3
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Question # 19
The exact value of cos
-1
(-1) + cos
-1
(1) =
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π
-π
π/2
π/3
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Question # 20
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0
1
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Question # 21
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6x - 2 + c
x
3
- x
2
+ x + c
6x - x
2
+ c
6x
3
- x
2
+ c
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Question # 22
The exterior angle of the interior angle C of he quadrilateral whose vertices are A(5,2),B(-2,3),C(-3,-4),D(4,-5) is
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30°
60°
45°
90°
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Question # 23
A chimney is such that on walking towards it 50 m in a horizontal line through its base the angular elevation of its top changes from 30° to 45°. The height of the chimney is
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Question # 24
If for the matrix A, A
5
= I, then A
-1
=
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A
2
A
3
A
None of above
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Question # 25
The period of the function csc x/4 us
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4x
π/4
8π
π/8
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Question # 26
(0,1) is in the solution of the inequality
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3x + 2y > 8
2x - 3y < 4
2x + 3y > 5
x -2y < -5
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Question # 27
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Question # 28
A square matrix all of whose elements except the main diagonal are zeros is called a
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Null matrix
Singular matrix
Symmetric matrix
Diagonal matrix
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Question # 29
√25 is a number
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Rational
Irrational
Natural
Odd
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Question # 30
Three integers are chosen at random from the first 20 integers. Then probability that their product is even, is
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2 / 19
3 / 29
17 / 19
4 / 19
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Question # 31
The set of all positive even integers is
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Not a group
A group w.r.t subtraction
A group w.r.t division
A group w.r.t multiplication
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