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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
Multiplicative inverse of 0 is
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0
1
±1
Does not exist
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Question # 3
If (1+x-2x
3
)
6
= 1+a
1
x + a
2
x
2
+ a
3
x
3
+ ..... the the value of a
2
+ a
4
+ a
6
+ .....+a
12
will be
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32
31
64
1024
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Question # 4
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none of these
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Question # 5
A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then CP
2
+ CQ
2
+ CR
2
+ CS
2
=
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r
2
2 r
2
3 r
2
4 r
2
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Question # 6
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0
3
9
-3
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Question # 7
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Question # 8
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Question # 9
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16 / 7
6 / 17
7 / 16
None of these
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Question # 10
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Question # 11
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1
-1
0
None of these
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Question # 12
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none of these
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Question # 13
A circle is a limiting case of an ellipse whose eccentricity
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Tends to a
Tends to b
Tends to 0
Tends to a + b
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Question # 14
The period of the trigonometric function y = sin x cos x is
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2π
π
4π
π / 2
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Question # 15
The set {-1, 1} is
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Group under the multiplication
Group under addition
Does not form a group
Contains no identity element
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Question # 16
Range of sec
θ
is
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Z - {x | -1 < x < 1}
W - {x | -1 < x < 1}
R - {x | -1 < x < 1}
R
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Question # 17
Period of Tangent function is
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0°
-
π
π
2
π
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Question # 18
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Question # 19
The number of permutations of n objects of which there are n
1
like of one kind, n
2
like of the second kind and n
3
like objects of third kind are
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Question # 20
If five triangles are constructed having sides of the lengths indicated below, the triangle that will NOT be a right triangle is
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8, 15, 17
3, 4, 5
12, 15, 18
5, 12, 13
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Question # 21
If a is any real number and a = a is called
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symmetric property
Trichotomy Properties
Transitive Property
Reflexive Properties
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Question # 22
A vector with magnitude one is called
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constant vector
unit vector
zero vector
null vector
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Question # 23
For every positive integers n 1+5+9+....+ (4n - 3) is
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n(2n - 1)
(2n - 1)
n - 1
n
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Question # 24
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Closure law of addition
Associative law of addition
Commutative law of multiplication
Associative law of multiplication
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Question # 25
Multiplying each side of an inequality by (-1) will:
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Not effect
Change the sign
Become zero
Not defined
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Question # 26
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Question # 27
Period of cos 2x is ______
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Question # 28
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Question # 29
The positive integer just greater than (1+0.0001)
10000
is
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4
5
2
3
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Question # 30
The coefficient of the third term of (8a-b)
1/3
, after simplification is
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-228
1/288
1/220
-1/177
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Question # 31
The range of inequality x + 2 > 4 is
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(-1, 2)
(-2, 2)
(1,
∞
)
None
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