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ECAT Mathematics Online Test MCQs With Answers
Question # 1
2cos2 a/2 =______;
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1+sina
1-sina
1+cosa
1-cosa
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Question # 2
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-2x cos x
2
-2x
2
sin x
2
-x
2
sin x
-2x
2
sin x
2
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Question # 3
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Natural numbers
Whole numbers
Integers
Rational numbers
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Question # 4
In quadratic equation f(x) = ax
2
,if a >0, then the graph of parabola
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Opens up
Opens down
close up
symmetric w.r.t.x.axis
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Question # 5
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1
-1
-1/2
1/2
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Question # 6
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1
5
7
9
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Question # 7
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12
6
8
none of these
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Question # 8
The sum of the cubes of three consecutive natural number is divisible by
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9
6
5
10
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Question # 9
Rank of matrix [1 3 5 0] is
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1
3
2
4
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Question # 10
The quadratic formula is
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Question # 11
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Cos 2x = sin 4y
Cos 4y = cos 2x
Cos 3y = sin 4x
None of these
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Question # 12
The centre fo the circle x
2
+ y
2
+ 12x -10 = 0 is
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(12, -10)
(6, -5)
(-12, 10)
(-6, 5)
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Question # 13
Multiplicative inverse of "1" is
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+- 1
0
1
None of these
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Question # 14
Equation of the chord of contact to the tangents drawn from (-3,4) to the circle x2 + y2 = 21
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-3x + 4y =21
4x - 3x = 0
-3x + 4y = 25
None of these
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Question # 15
x = ________ is in the solution of 2x - 3 < 0
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2
-2
3
4
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Question # 16
If n is any positive integer then 2
n
> 2(n + 1) is true for all
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Question # 17
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Polynomial
Equation
Improper rational fraction
Proper rational fraction
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Question # 18
Unit vector in the positive direction of x-axis is
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Question # 19
Arithmetic mean between 14 and 18 is
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16
17
15
32
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Question # 20
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sec 5x + c
- sec 5x + c
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Question # 21
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Question # 22
Two tangents drawn from (2,3) to the circle x2+y2 =9 are
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Real and distinct
Imaginary
Real and coincident
None of these
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Question # 23
The set {1, -1, 1, -1}, form a group under
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Addition
Multiplication
Subtraction
None
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Question # 24
Sum of two quantities is at least 20 is denoted by
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x +y =20
x +y≥ 20
x +y≠ 20
x +y≤20
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Question # 25
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none of these
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Question # 26
cos h
2
x + sin h
2
x
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an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 27
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Question # 28
Which one is a pair of allied angles
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(180° -
θ)
(180° -
θ,
180° +
θ)
(180° +
θ)
None of these
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Question # 29
The distance of the point (2, -3) from x-axis is
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-2
-3
2
3
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Question # 30
The two different parts of the hyperbola are called its
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Vertices
Directrices
Nappes
Branches
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Question # 31
Every prime number is also
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Rational number
Even number
Irrational number
Multiple of two numbers
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