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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The period of 2 cos x is
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30π
7π
5π
2π
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Question # 2
The zero vector is
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[0, 0, 0]
[1, 1, 1]
[0, 1, 0]
[0, 0, 1]
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Question # 3
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Principle of equality of fractions
Rule for product of fractions
Golden rule for fractions
Rule for quotient of fractions
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Question # 4
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Evert element of A is in B
Every element of B is in A
Every element of A is in B'
Every element of A is in A
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Question # 5
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 # 6
A right angle is the angle of measure
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90'
60°
60"
90°
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Question # 7
3/2 is
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An irrational number
Whole number
A positive integer
A rational number
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Question # 8
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R/[0,4]
R/(0,4)
(0,4)
[0,4]
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Question # 9
Two quadratic equation in which xy term is missing and the coefficients of x
2
and y
2
are equal, give a linear equation by ______
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Addition
Subtraction
Multiplication
Division
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Question # 10
Group of none-singular matrices under multiplication is
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None-Abelian group
Semi group
Abelian group
None of these
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Question # 11
If f(x) = x
2
then f(2) is
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-2
2
4
-4
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Question # 12
Area of the triangle whose vertices are (2,3),(0,1),(0,0) is
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6
2
4
1
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Question # 13
The maximum value of the quadratic function f(x) = -2x2+20x,is
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4
3
50
7
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Question # 14
In a triangle ABC, if angle A = 72° , angle B = 48° and c = 9 cm then Ĉ is
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69°
66°
60°
63°
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Question # 15
f(x) = 3x
4
-2x
2
+ 7 is:
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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 # 16
The area of the circle centred at (1,2) and passing through (4,6) is
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30 πsq.units
5π sq.units
15π sq.units
25π sq.units
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Question # 17
Two cards are drawn at random from a well shuffled pack of cards. The probability that at least one of them is a face card is
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3 / 17
5 / 17
7 / 17
9 / 17
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Question # 18
The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is
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none of these
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Question # 19
If 4 - x >5, then
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x > 1
x > -1
x < 1
x < -1
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Question # 20
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Question # 21
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a
x
In a + c
a
x
+ c
x a
x
+ c
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Question # 22
The exact value of cos-1 (0) is
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π/2
-π/2
3π
π-π/6
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Question # 23
The position vector of a point (x, y) in xy plane is
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none of these
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Question # 24
The number of non zero rows in echelon form of a matrix is called
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Order of matrix
Rank of matrix
Row operation
None of these
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Question # 25
(1 - x)
3
= ______
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1 + 3x + 3x
2
+ x
3
1 + x + x
2
+ x
3
1 - x + x
2
- x
3
1 - 3x + 3x
2
- x
3
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Question # 26
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Question # 27
A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is
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50
25
10
100
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Question # 28
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Question # 29
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Question # 30
If sin 6
θ
+ sin 4
θ
+ sin 2
θ
, then
θ
=
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Question # 31
The set of rationals numbers between 0 and I is
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Finite
Null set
Infinite
None of these
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