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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The distance between the points (0 , 0) and (2, 1) is
Choose an answer
5
0
3
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Question # 2
If a,b,c are in arithmetic progression, then 1/a,1/b.1/c are in
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A.M
G.M
H.M
G.P
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Question # 3
Given X.Y are any two sets such that number of elements in X = 18, number of elements in set Y = 24,and number of elements in set X∪ Y =40,then number of elements in set x∩ Y =
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3
1
2
4
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Question # 4
An equation of the form ax + by = k is homogeneous linear equation when:
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Question # 5
A function from A to B is denoted by
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f: A→ B
f: B → A
f: → A :B
f → A→ B
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Question # 6
Given two independent event A and B such that P(A) = 0.30 and P(B) = 0.60. Probability of getting neither A nor B is
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0.28
0.13
0.12
0.42
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Question # 7
G is geometric mean between a and b if a, G, b is
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A.P.
G.P.
H.P.
None of these
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Question # 8
i
3
=
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-1
i
-i
1
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Question # 9
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Question # 10
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Question # 11
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Question # 12
In (x + iy) x is the known as
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Imaginary part of complex number
Real part of complex number
Complex number
None of above
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Question # 13
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a cot(ax + b) + c
- a cot(ax + b) + c
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Question # 14
The domain of the function y = sin x , is
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-π/2≤ x≤ π/2
π/ ≤ x≤ π
-2π ≤ x≤ 2π
-1 ≤ x≤ 1
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Question # 15
If the matrices A and B are conformable for multiplication then (AB)
t
= ______
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AB
A
t
B
t
B
t
A
t
A
t
B
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Question # 16
45° = ______
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Question # 17
The vertices of the ellipse x
2
+ 4y
2
= 16 are
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Question # 18
The eccentricity of the parabola y
2
= -8x is
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-2
2
-1
1
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Question # 19
Ifᵨ> 1 , then the conic, is:
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Ellipse
Parabola
Hyperbola
None of these
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Question # 20
The set {-1,1} is
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Group under the multiplication
Group under addition
Does not form a group
Contains no identity element
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Question # 21
Empty set is
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Not the member of real numbers
Infinite set
Finite set
Not subset of every set
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Question # 22
The liner equation ax + by = c is called _________ of the inequality ax +by > c.
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Associated equation
Non-associated equation
disjoint equation
Feasible equation
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Question # 23
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Question # 24
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0
-1
1
not defined
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Question # 25
If n is not natural number, then the expansion (1 + x)
n
is valid for
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Question # 26
If n is a positive integer then n! is
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(n - 1) (n - 2) .....3,.2.1
n(n - 1) (n - 2) ...3.2.1
n(n - 1 ) ( n -2) ... 3
None of these
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Question # 27
Domain of 2 cos x is ______
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[-2, 2]
R
Negative real numbers
None of these
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Question # 28
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Question # 29
(1+w)(1+w2)(1+w4)(1+w8)....50 factors
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0
-1
1
2
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Question # 30
The period of 2 cos x is
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30π
7π
5π
2π
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Question # 31
If s = 2t
3
- 3t
2
+ 15t - 8 is the equation of motion of a particle, then its initial velocity is
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8
15
-6
None
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