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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The process of finding a function whose derivative is given is called a
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Differentiation
Integration
Differential
None
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Question # 2
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(1,7/3)
(1, 7/5)
(1, 11/7)
(1, 3/5)
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Question # 3
0.25 is ______
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An irrational number
A natural number
A prime number
A rational number
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Question # 4
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Question # 5
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Associative law of addition
Commutative law of addition
Additive identity
Closure law of addition
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Question # 6
If B⊆ A, then complement of B in A is = -----------------------
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A-B
A∩B
B-A
A∪B
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Question # 7
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 # 8
The line y = 4x + c touches the hyperbola x
2
- y
2
= 1 if
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Question # 9
1
0
= ______
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Question # 10
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l
2
+ m
2
+ n
2
= 0
l
2
- m
2
+ n
2
= 1
l
2
+ m
2
+ n
2
= 1
l
2
+ m
2
- n
2
= 0
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Question # 11
A ________ divides the plane into left and right half planes.
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Vertical line
Horizontal line
Non vertical line
Inequality
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Question # 12
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Does not exist because f is unbounded
Is not attained even though f is bounded
Is equal to 1
Is equal to -1
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Question # 13
The period of cos(7x-5) is
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π/7
7π/2
π/2
2π/7
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Question # 14
The square matrix A is skew Hermitian when (A)'=
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A
A'
-A
A
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Question # 15
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Question # 16
A non-terminating non_recurring decimal represents an
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Irrational no
Both a & c
Rational no
None of these
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Question # 17
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Question # 18
The multiplicative inverse of -1 in the set {1-, 1} is
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1
-1
0
Does not exist
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Question # 19
The greatest term in the expansion of (3+2x)
9
, when x=1 is
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4th
4th and 5th
5th
6th
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Question # 20
If a statement S(n) is true for n = i where i is some natural number and the truth of S(n) for n = k > i implies the truth of S(n) for n = k +1 then S(n) is true for all positive integers
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Question # 21
A circle passing through the vertices of any triangle is called ______
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In circle
Circum circle
Escribed circle
None of these
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Question # 22
If x
3
+ 4x
3
- 2x +5 is divided by x - 1, then the reminder is
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8
6
4
None of these
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Question # 23
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b = c
a = c
a = c
b = 0
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Question # 24
If cos (2 sin-1 x) = 1/9 , then what is the value of x?
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1/3
-2/3
2/3
2/3 , -2/3
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Question # 25
If (x
1
, y
1
) and (x
2
,
y
2
) are the end points of a diameter then the centre of the circle is
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Question # 26
In-radius is denoted by
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r
η
r2
R
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Question # 27
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Question # 28
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Question # 29
The maximum value of the quadratic function f(x) = 2x2-4x+7,is
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3
5
-3
-5
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Question # 30
If x
3
+ ax
2
- a
2
x - a
3
is divided by x + a, then the remainder is
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0
a
3
2a
3
-2a
3
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Question # 31
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A
A'
U
A A'
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