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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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1, 2, 3
1, 5, 9
2, 5, 8
3, 6, 9
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Question # 3
If D = {a} , the P(D) =
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{a}
∅
{∅,{a}}
{∅,a}
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Question # 4
cos
4
θ
- sin
4
θ
=
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cos4
θ
cos2
θ
-sin
θ
sin2
θ
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Question # 5
Both the roots of the equation (x -b) (x - c ) + (x -c) (x-a) +(x-a) (x-b) = 0 are always
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Positive
Negative
Real
None of these
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Question # 6
The vertex of the graph of the quadratic function f(x) = x2 -10, is
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(0 , -10)
(-10,0)
(10,0)
(0,10)
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Question # 7
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a = 2, b = 3
a = 3, b = 2
a = 2, b = 1, 2
a = 3, b = 3
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Question # 8
For Cosine Rule of any triangle ABC, b
2
is equal to
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a
2
- c
2
+ 2ab cos A
a
3
+ c
3
- 3ab cos A
a
2
+ c
2
- 2ac cos B
a
2
- c
2
4bc cos A
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Question # 9
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1
-1
-1/2
1/2
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Question # 10
How many terms of the A.P 3,6,9,12,15...........must be taken to make the sum 108
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8
6
7
36
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Question # 11
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Question # 12
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none of these
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Question # 13
The sum of the even coefficients in the expansion (1 + x)
n
is
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n
2
2
n-2
2
n-1
2
n
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Question # 14
Write down the power set of {9, 11}
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Question # 15
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a
1
+ a
2
a
2
1
+ a
2
2
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Question # 16
A Geometric Series is divergent only if
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|r|>1
|r|≥1
|r|=1
None of these
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Question # 17
Three integers are chosen at random from the first 20 integers. Then probability that their product is even, is
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2 / 19
3 / 29
17 / 19
4 / 19
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Question # 18
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Question # 19
If A and B are skew-symmetric then (AB)t is
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At Bt
AB
-AB
BA
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Question # 20
If θ be angle between u,v and u,v determine the sides of a triangle then the third side opposite to angle θ has length
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|u+v|
|u|+|v|
|u-v|
|u|-|v|
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Question # 21
2
π
+
θ
will have terminal side in Quad
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I
II
III
IV
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Question # 22
There is no integer n for which 3
n
is
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Odd
even
Natural
Prime
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Question # 23
When rational fraction is separated into partial fractions, the result is
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an identity
A fraction
A partial sum
Improper fraction
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Question # 24
The angle of depression of a point situated at a distance of 70 meters from the base of a tower is 45°. The height of the tower is
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70 m
85 m
35 m
None of these
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Question # 25
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Question # 26
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-1
0
1
undefined
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Question # 27
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1
2
3
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Question # 28
f (x) = | x | is a/an
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Injective function
Bijective function
Surjective function
Implicit function
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Question # 29
If f(x) = x + 1 then f(z
2
-1) is
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z
2
z
2
+ 2
z
2
- 2
none of these
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Question # 30
The period of the function csc x/4 us
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4x
π/4
8π
π/8
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Question # 31
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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