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ECAT Mathematics Online Test MCQs With Answers
Question # 1
a.a
-1
= a
-1
.a = 1 is a
Choose an answer
Commutative law of multiplication
Multiplication identity
Associative law of multiplication
Multiplication inverse
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Question # 2
The equation of vertical asymptotes of y = cos ecx is
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x = 0
y = 0
x =∞
y =∞
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Question # 3
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3
2
8
0
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Question # 4
One second is denoted by
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1
0
1'
1"
1 rad
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Question # 5
The general value of
θ
satisfying the equation 2 sin
2
θ
- 3 sin
θ
-2 = 0 is
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Question # 6
The centroid of a triangle divides each median in the ratio
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2 : 1
3 : 1
3 : 2
1 : 1
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Question # 7
Through how many radians does the minute hand of a clock turn in one hour
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Question # 8
Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0
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(1,4)
(4,2)
(3,1)
(4,1)
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Question # 9
An equation of the form ax + by = k is homogeneous linear equation when
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b = 0, a = 0
a = 0,b ≠ 0
b = -0,a≠ 0
a≠ 0,b≠ 0, k = 0
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Question # 10
Φ set is the _______ of all sets
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Subset
Union
Universal
Intersection
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Question # 11
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Associate law of addition
Commutative law of addition
Additive identity
Closure law of addition
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Question # 12
1+3x+6x2 +10x3 +....=
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(1+x)-3
(1-x)-2
(1-x)-3
(1+x)-2
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Question # 13
A chord passing through the centre of the circle is called
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the secant of the circle
the tangent of the circle
the arc of the circle
the diameter of the circle
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Question # 14
For any two sets A and, A ⊆ B if
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x ∈ A ⇒ x ∈ B
x ∉ A ⇒ x ∉ B
x ∈ A ⇒ x ∉ B
None of these
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Question # 15
cos(3π/2 +θ) = _____;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 16
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Question # 17
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Biconditional
Implication
Antecedent
Hypothesis
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Question # 18
Sum of all the four forth roots of unity is
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1
-1
i
0
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Question # 19
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A
A'
U
A A'
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Question # 20
tan(3π/2 +θ)=______;
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tanθ
cotθ
-tanθ
-cotθ
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Question # 21
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Question # 22
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Question # 23
A vector with magnitude one is called
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constant vector
unit vector
zero vector
null vector
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Question # 24
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Question # 25
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Question # 26
(a,b) +(-a,-b) =
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(0,0)
(a,b)
(-a,-b)
(1,1)
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Question # 27
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 28
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Question # 29
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Question # 30
The proposition S(n) for any n∈ N is only true if k∈ N and
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S(k +1) is true
S(1) is true and S(k+1) is true whenever S (k) is true
S(k+1) is true whenever S (k) is true
S(k) is true
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Question # 31
The 5th term of (3a-2b)
-1
is
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77b
2
/a
5
16b
2
/243 a
5
17b
4
/43a
5
25b
3
/43a
5
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