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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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A complex number
A rational number
A natural number
An irrational number
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Question # 2
If sin x + sin
2
x = 1, then the value of Cos
12
x + 3cos
10
x + 3cos
8
x + cos
6
x + 2 cos
4
x + cos
2
x-2 is equal to
Choose an answer
0
1
2
sin
2
x
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Question # 3
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A is proper subset of B
A is an improper subset of B
A is equivalent to B
B is subset of A
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Question # 4
The negation of given number is a
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Binary operation
Unary operation
Relation
None of these
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Question # 5
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Question # 6
1
0
= ______
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1.5 rad
0.5 rad
0.175 rad
None of these
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Question # 7
graph of trigonometric function y = sec x does not meet
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x - axis
y -axis
both axis
None of these
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Question # 8
The value of sin [ arc cos (-1/2)] is
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Question # 9
The n numbers A
1
,A
2
,A
3
,.....A
n
are called an arithmetic means between a and b if a.A
1
,A
2
,A
3
.....A
n
, b is ______
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An arithmetic series
An arithmetic sequence
A geometric sequence
A harmonic sequence
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Question # 10
Two unbiased dice are thrown. The probability that the total score is > 5 is
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1 / 18
7 / 18
13 / 18
11 / 18
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Question # 11
sin
2
α
cos
2
α
=
Choose an answer
-1
0
1
None of these
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Question # 12
120° degrees are equal to how many radians?
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Question # 13
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Question # 14
One degree is denoted by
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1
0
1'
1"
1 rad
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Question # 15
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Question # 16
Water seeps out of a conical filter at eh constant rate of 5 cm/sec. the height of the cone of water in the filter is 15 cm. the height of the filter is 20 cm and radius of the base is 10 cm. the rate at which the height of the water decreases is
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Question # 17
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An upper triangular matrix
A lower triangular matrix
A diagonal matrix
A null matrix
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Question # 18
The minimum value of the quadratic function f(x) = 5 x 2-11,is
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7
-7
6
-11
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Question # 19
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Question # 20
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Question # 21
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2x - 3x + c
x
2
- 3x + c
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Question # 22
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2, 3
3, 3
2, 6
2, 4
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Question # 23
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Question # 24
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A finite non-empty set
Null set
Both a and b
None of these
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Question # 25
The distance of the point (-2 , -3) from y-axis is
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2
-2
3
-3
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Question # 26
5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is
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1 / 32
31 / 32
1 / 16
None of these
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Question # 27
(0.90)
1/2
is equal to
Choose an answer
0.99
0.90
0.80
0.88
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Question # 28
If (a, b) is the mid-point of a chord passing thro' the vertex of the parabola y
2
= 4x, then
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a = 2b
2a = b
a
2
= 2b
2a = b
2
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Question # 29
In R the number of identity elements w.r.t.'.' is
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One
Two
Three
Four
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Question # 30
If l, m, n are the d.c.'s of a line, then
Choose an answer
l2+ m2+ n2= 0
l2+ m2+ n2= 1
l + m + n = 1
l = m = n = 1
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Question # 31
i
101
=
Choose an answer
i
i
2
-i
-1
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