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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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real part of z
imaginary part of z
conjugate of z
modulus of z
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Question # 2
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3, -3, 11
3, 3, 11
-3, 3, -11
-3, -3, 11
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Question # 3
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100x
99
100x
101
-99x
99
-100x
101
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Question # 4
If a
1
, r are first term and the common ratio respectively then the sum of an infinite geometric series is
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Question # 5
In natural logarithm the base is
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1
0
10
e
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Question # 6
Cofactor of an element aij denoted by Aij is
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(-2)i+j
Mij
(-1)i+j Mij
None of above
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Question # 7
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Question # 8
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Question # 9
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Question # 10
x
2
+ x - 5 = 0 is
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A polynomial
An inequality
An identity
None
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Question # 11
QUQ'
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Question # 12
The sum of even coefficient in the binomial expansion is
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2
n+1
2
n
2
n-1
2n
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Question # 13
The numbers of G
1
, G
2
, G
3
...... G
n
are called n geometric means between a and b is a, G
1
, G
2,
G
3
, ... G
n
, b are in
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H.P.
A.P.
G.P.
None of these
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Question # 14
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2
2
- n - 1
1 - 2
-n
n + 2
-n
-1
2
n
- 1
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Question # 15
n! > 2
n
-1 is true when
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n≤ 3
n≤ 6
n≥ 4
n≤ 6
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Question # 16
The angle between the vectors 3i + j - k and 2i - j + k is
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Question # 17
If y=sin(ax+b) then y4=________:
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sin4(ax+b)
a4sin(ax+b)
a4cos(ax+b)
None of these
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Question # 18
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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Question # 19
If A and B are two sets then any subset R of A x B is called
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relation on A
relation on B
relation from A to B
relation from B to A
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Question # 20
The roots of the equation 4x - 3.2x+2 + 32 = 0 would include
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1 and 3
1 and 4
1 and 2
2 and 3
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Question # 21
The polar form of complex number x ≠ I y =
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r cos θ+ r sin θ
r cos θ+ is sin θ
cos θ+ r sin θ
i cos θ+ i sin θ
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Question # 22
If the sum of co-efficient in the expansion of (a+b)
n
is 4096, then the greatest co-efficient in the expansion is
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1594
792
924
2924
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Question # 23
The law of consines is
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Question # 24
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all are correct
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Question # 25
3/4 is ______
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An odd number
An even number
A natural number
A rational number
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Question # 26
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A
A'
U
A A'
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Question # 27
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Question # 28
if f(x) = x
3
-3x
2
+5x -1, then f(-√2)=
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7+7√2
3+3√2
-7-7√2
-3-3√2
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Question # 29
Tan
-1
1/x = ______
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sin x
sec
-1
X
cot
-1
X
None of these
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Question # 30
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Orthogonal
Involutary
Idempotent
Nilpotent
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Question # 31
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