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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Which of the following has the same value as i113
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i
-1
-i
1
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Question # 2
The roots of px2 - (p-q)x-q=0 are
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equal
Irrational
Rational
Imaginary
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Question # 3
A die is rolled. What is the probability that the dots on the top are greater than 4?
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1/4
1/2
1/3
1/33
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Question # 4
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y/x
x/y
y/z
None
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Question # 5
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Question # 6
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Question # 7
If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of
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Irrational numbers
Even numbers
Rational numbers
Whole numbers
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Question # 8
The third term of a G.P. is 4, The product of first five terms is
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43
45
46
None of these
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Question # 9
Which of the following function form 1 to itself are bi-jective
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F(x) = x + 3
F(x) = x
5
F(x) = 3x + 2
F(x) = x
2
+ x
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Question # 10
The set of natural no. is closed under
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multiplication
subtraction
difference
division
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Question # 11
Range of cos x is ______
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[-1, 1]
R
Negative real numbers
R - { x | - 1 < x < 1}
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Question # 12
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I and
I
I quadrants
I
I and
I
I
I quadrants
I
I and
I
V
quadrants
none of these
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Question # 13
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2x cos x2
2sinxcosx
- sin x2
2x sin x2
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Question # 14
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 # 15
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Question # 16
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0
-1
1
1/2
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Question # 17
The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is
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2 x 3
3 x 2
2 x 5
5 x 2
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Question # 18
The matrix A = [aij]1xn is a
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Vector
Rectangular matrix
Column vector
Square matrix
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Question # 19
The fixed point from which all the points of a circle are equidistant is called the
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chord of the circle
centre of the circle
diameter of the circle
radius of the circle
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Question # 20
The locus of the centre of a circle which touches two given circles externally is:
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a hyperbola
an ellipse
a circle
a parabola
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Question # 21
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Question # 22
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Improper rational fraction
Rational fraction
Proper rational fraction
None of above
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Question # 23
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Question # 24
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x
3
- x
2
+ x + c
6x - 2 + c
x
3
- 2x + c
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Question # 25
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images
pre-images
constants
none of these
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Question # 26
If P is a whole number greater than 1, which has only P and I are factors. Then P is called
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Wholw number
Prime number
Even number
Odd number
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Question # 27
Range of 3 sin x is ______
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[ -3, 3]
[-1, 1]
R
None of these
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Question # 28
The line y = 2 x + c is a tangent to the parabola y
2
= 16 x if c equals
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-2
-1
0
2
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Question # 29
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An empty set
Universal set
A singleton set
None of these
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Question # 30
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Question # 31
A sequence is a function whose domain is
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N
Subset of N
R
None of these
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