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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
The eccentricity e of an ellipse is always
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Rational
Real
Irrational
Integer
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Question # 3
For any real numbers x,y,xy=o ⇒
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x ≠ 0 ∧ y ≠ 0
x = 0 ∨ y = 0
x = 0
y = 0
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Question # 4
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Question # 5
If n(A) = n then n(P(A)) is
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2n
n
2
n/2
2
n
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Question # 6
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Question # 7
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sin x + c
-sin x + c
cos x + c
-cos x + c
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Question # 8
If A = |aij| is (m x n) matrix then transpose of A is of the order
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m x m
m x n
n x n
n x m
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Question # 9
The set {{a,b}} is
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Infinite set
Singleton set
Two points set
None
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Question # 10
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Question # 11
sin(π+θ)=_______;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 12
Find a if 1 is a root of the equation x
2
+ ax + 2 = 0
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3
-3
2
0
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Question # 13
How many signals can be given by 5 flags of different colours, using 3 flags at a time
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120
60
24
15
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Question # 14
1 radian = ______
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180°
90°
57.296°
60°
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Question # 15
The approximate percentage increase in the volume of a cube if the length of its each edge changes from 5 to 5.02 is
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1.2%
1.5%
0.16%
100.16%
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Question # 16
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A
0
Unit vector
None
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Question # 17
Identity w.r.t intersection in a power set of any set is
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∅
Set itself
Singleton set
{0}
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Question # 18
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A = B
B = C
A = C
None of these
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Question # 19
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10
C
6
10
C
5
10
C
4
None
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Question # 20
If a > 0 they parabola y2 =-4ax lies in
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I and iv quadrant
I quadrant
II and III quadrant
All are incorrect
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Question # 21
The real number system contains.
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Positive Numbers
Negative numbers
Zero
(option a, b and c)
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Question # 22
The number of proper subset of A ={a.b.c.d} is
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3
6
8
15
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Question # 23
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-1
0
1
undefined
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Question # 24
graph of sine function is bounded between lines
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y± 1 = 0
x± 1 = 0
x± y - 0
None of these
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Question # 25
The points (5, 2, 4)(6, -1, 2) and (8, -7, k) are collinear if k is equal to
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-2
2
3
-1
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Question # 26
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none of these
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Question # 27
If A = {x / x ∈ R ∧ x
2
- 16 = 0} then A =
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- x
Infinite set
Φ
{-4,4}
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Question # 28
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Symmetric
Skew-symmetric
Hermitian
Skew hermitian
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Question # 29
Sin 45° = ______
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Question # 30
The first three terms in the expansion of (1 + x)
3
are
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1 + 3x +6x
2
1- 3x + 6x
2
\
-3 -3x -6x
2
1- 3x -6x
2
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Question # 31
n
2
- 1 divisible by 8 when n is
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an odd integer
an even integer
Irrational
Prime Number
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