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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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0
1
-1
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Question # 2
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cosec x + c
-cosec x + c
-sec x + c
sec x + c
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Question # 3
If A∩B=B, then n(A∩B) is equal to
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n(a)
n(a)+n(c)
n(c)
None of these
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Question # 4
1,1/3,1/5,1/7,1/9..... is a
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geometric sequence
finite sequence
infinite sequence
arithmetic series
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Question # 5
Find the next two terms of 7, 9, 12, 16,...
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18, 20
19, 22
20, 25
21, 27
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Question # 6
The roots of the equation ax
2
+ bx + x = 0 are real and distinct if
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b
2
- 4ac <0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 7
w
73
= ______
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0
1
w
w
2
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Question # 8
cot
θ
= sin 2
θ
if
θ
=
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Question # 9
sin h x = ___________
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Question # 10
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Question # 11
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e
x
+ c
e
-x
+ c
x e
x
+ c
not possible
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Question # 12
If 4 sin
2
θ
=1, then values of
θ
are
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Question # 13
Range of cos x is ______
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[-1, 1]
R
Negative real numbers
R - { x | - 1 < x < 1}
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Question # 14
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Question # 15
The coefficient of x
10
in the expansion (x
3
+3/x
2
)
10
is
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1700
17023
17027
17010
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Question # 16
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Question # 17
The additive inverse of 2/3 is
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3/2
-2/3
-3/2
0
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Question # 18
G is geometric mean between a and b if a, G, b is
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A.P.
G.P.
H.P.
None of these
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Question # 19
In R, the multiplicative inverse of a is
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0
1
-a
1/a
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Question # 20
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Question # 21
The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is
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120
124
128
132
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Question # 22
Every real number is
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A complex number
A rational number
A natural number
A prime number
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Question # 23
The square roots of negative numbers is called
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Real no
Complex no
Positive no
Negative no
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Question # 24
The coefficient of the second term of (a+b)
4
is
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1
9
3
5
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Question # 25
A die is thrown, the probability that the dots on the top are prime numbers or odd numbers is
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1/2
2/3
1/3
2/5
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Question # 26
In set builder notation the set {0, 1, 2, ............, 100} can be written as
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Question # 27
The sum even binomial coefficient of (3+2x)5 is ______term
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16
30
8
32
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Question # 28
The first three terms in the expansion of (1 - x)
-1
are
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1 + x + x
2
1 - x - x
2
-1 -x +x
2
1 - x + x
2
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Question # 29
4/√49 is a
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Irrational Number
Prime Number
Rational number
Whole number
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Question # 30
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Question # 31
If a tangent line touches the function y = f (x) in more than one point then y = f (x) is
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Periodic
Surjective
Bijective
Injective
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