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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The multiplicative inverse of x such that x = 0 is
Choose an answer
-x
Does not exist
1/x
±1
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Question # 2
The distance of the plane 2x - 3y + 6z + 14 = 0 from the origin is
Choose an answer
14
2
-2
11
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Question # 3
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Question # 4
A fraction in which the degree of the numerator is less than the degree of the denominator is called
Choose an answer
Polynomial
Equation
Proper fraction
Improper fraction
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Question # 5
The probability to get an odd number in a dice thrown once is
Choose an answer
6
1
1/6
1/2
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Question # 6
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Question # 7
The number of subset of {0} is
Choose an answer
1
2
3
None
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Question # 8
The square root of 2i - 20i is
Choose an answer
+-(5 - 2i)
+-(5 + 2i)
(5 - 2i)
None of these
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Question # 9
The roots of ax2 + bx + c = 0 are always unequal if
Choose an answer
b2 - 4ac = 0
b2- 4ac ≠ 0
b2- 4ac > 0
b2- 4ac ≥ 0
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Question # 10
If 2 tan
1
(cos x) = tan
-1
(cosec
2
x), then x is equal to
Choose an answer
π
/ 3
π
/ 2
π
/ 6
π
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Question # 11
Choose an answer
none of these
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Question # 12
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none of these
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Question # 13
A square matrix A = [aij] is lower triangular matrix when
Choose an answer
aij = 0 for all i<j
bij = 0
cij = 0
dij = 0
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Question # 14
What is the period of 6 sin x=?
Choose an answer
π
-π
π/2
2π
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Question # 15
If A = [a
ij
] is (m x n) matrix, then transpose of A is of the order
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m x m
m x n
n x n
n x m
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Question # 16
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Question # 17
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Question # 18
A bag contains 7 whit, 5 black and 4 rd balls. If two balls are drawn at random from the bag, the probability that they are not of the same color is
Choose an answer
73 / 120
83 / 120
67 / 120
43 / 120
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Question # 19
The graph of y> 0 is the upper - half of:
Choose an answer
y-axis
x-axis
1st and 4th quandrant
2nd and 3rd quadrant
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Question # 20
The measure of the acute angle between the lines represented by x2 -xy -6y2 =0 is
Choose an answer
120°
30°
130°
45°
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Question # 21
A Series which does not coverage to a Unique sum is called
Choose an answer
Harmonic Series
Oscillatroy Series
Arithmetic Series
None of these
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Question # 22
The solution set of the inequality ax + by < c is
Choose an answer
straight line
half plane
parabola
none of these
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Question # 23
sin (
α
+
β
) + sin (
α
-
β
)
Choose an answer
2 sin
α
cos
β
sin (2
α
β)
sin
α
cos
α
None of these
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Question # 24
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Question # 25
sin(π/2+θ) = _______;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 26
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Question # 27
If f(x) = -x
3
then f(-2) is
Choose an answer
-2
-4
-8
8
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Question # 28
1 radian = ______
Choose an answer
180°
90°
57.296°
60°
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Question # 29
The length of the tangent from (2, 1) to the circle x
2
+ y
2
+ 4y + 3 = 0 is
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Question # 30
What is the conjugate of -6 -i?
Choose an answer
-6 +i
6+i
-6 -i
6 -i
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Question # 31
We solve the system of non-homogeneous linear equations by
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a and b
b and c
c and a
a,b and c
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