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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
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Scalar matrix
Identity matrix
Null matrix
Symmetric matrix
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Question # 3
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Question # 4
In a country 55% of the male population has houses in cities while 30% have houses both in cities and in villages find the percentage of the population that has houses only in villages
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45
30
25
50
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Question # 5
The set of first elements of the ordered pairs in a relation is called its
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domain
range
relation
function
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Question # 6
If 4 sin
2
θ
=1, then values of
θ
are
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Question # 7
The sum of infinite numbers of terms of an arithmetic series is
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Finite
Infinite
May or may not finite
None of these
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Question # 8
Area of the circle with ends of a diameter at (-3,2) and (5,-6)
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128π sq. units
64π sq. units
32π sq.units
None of these
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Question # 9
A matrix with a single column is called
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Column matrix
Row matrix
Identity matrix
Null matrix
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Question # 10
Ifπ≤x≤2π, then cos-1 (cos x)=
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cos x
-x
1/x
-x
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Question # 11
The number of terms in the expansion of (a + x)
12
is
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13
12
11
10
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Question # 12
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5
-5
none
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Question # 13
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Question # 14
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0
1
2
4
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Question # 15
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 # 16
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Question # 17
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Question # 18
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Question # 19
In triangle ABC, in which b=95, c=34, a =52
𝜊
then the value of a=
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18 cm
18.027 cm
20.7 cm
19 cm
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Question # 20
If sin
θ
and cos
θ
are the roots of the equation ax
2
- bx + c = 0, then a, b, c satisfy the relation
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b
2
- a
2
= 2ac
A
2
- b
2
= 2ac
A
2
+ b
2
= c
2
B
2
+ a
2
= 2ac
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Question # 21
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A = C
A = B
B = C
None of these
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Question # 22
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Question # 23
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Question # 24
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36
360
24
6
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Question # 25
Through how many radians does the minute hand of a clock turn in one hour
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Question # 26
sin (
α
+
β
) - sin (
α -
β
) =
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4 cos
α
sin
β
2 cos
α
sin
β
4 cos
α
cos
β
4 sin
α
sin
β
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Question # 27
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Question # 28
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Question # 29
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Question # 30
If two balls are drawn from a bag containing 3 white, 4 black and 5 red balls. Then the probability that the drawn balls are of different colours is
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1 / 66
3 / 66
19 / 66
47 / 66
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Question # 31
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