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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
30° = ______
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Question # 2
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Question # 3
The system of measurement in which the angle is measured in radians is called the
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circular system
CGS system
sexagesimal system
none of these
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Question # 4
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Question # 5
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A
B
U
None of these
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Question # 6
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X = 100 sin
θ
X = 10 sin
θ
X = 100 sec
θ
None of these
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Question # 7
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Question # 8
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5
10
20
30
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Question # 9
tan 294° =______;
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tan 24°
-tan 24°
cot 24°
-cot 24°
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Question # 10
The number of solution of the equation tan x + sec x = 2 cos x lying in the interval [0, 2
π
] is
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0
1
2
3
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Question # 11
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Question # 12
The transpose of a zero matrix is a ______
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Column matrix
Zero matrix
Row matrix
Scalar matrix
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Question # 13
The degree of differential equation is the power of the
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Lowest order derivative
Highest order derivative
Integral
All are correct
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Question # 14
Which is an explicit function
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y = x
2
+ 2x - 1
x
2
+ xy + y
2
= 2
x
2
+ y
2
= xy + 2
All are
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Question # 15
The geometrical representation of a linear function is
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Circle
Parabola
Straight lie
None of these
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Question # 16
An unbiased die is thrown. Then the probability of getting a prime is
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1/2
2/3
3/4
None of these
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Question # 17
If x
3
+ ax
2
- a
2
x - a
3
is divided by x + a, then the remainder is
Choose an answer
0
a
3
2a
3
-2a
3
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Question # 18
ax2 +2hxy +by2 +2gx +2fy +c =0 may represent an ellipse if
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h2 -ab <0
h2 -ab≠ 0
h2 -ab =0
h2 -ab >0
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Question # 19
24 can be written as a product of
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Odd factors
Even factors
Whole factors
Prime factors
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Question # 20
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π / 3
π / 4
π / 6
0
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Question # 21
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Question # 22
Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =
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4
3
2
1
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Question # 23
Z is a
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Infinite set
Finite set
Singleton set
Set of all integers
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Question # 24
The principal value of sin
-1
(-1/2)
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π/3
π/4
π/6
-π/6
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Question # 25
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Question # 26
Which of the following is the subset of all sets
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Φ
{1,2,3}
{Φ}
{0}
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Question # 27
sin(180° -
θ)=
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cos
θ
-cos
θ
Tan
θ
Sin
θ
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Question # 28
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A rational number
A irrational number
An even integer
A factor of 36
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Question # 29
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Question # 30
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Symmetric
Skew-symmetric
Hermitian
Skew hermitian
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Question # 31
If there are m rows and n columns in a matrix then its order is
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m x n
m x m
n x n
n x m
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