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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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
Choose an answer
0.28
0.13
0.12
0.42
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Question # 2
The solution of differential equation:
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dy/dx+y/x = x
2
is :
4xy = x
4
+ c
4x = x
4
= c
4 y = x
4
+ c
4x=4x
3
+ c
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Question # 3
The exact value of cos
-1
(-1) + cos
-1
(1) =
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π
-π
π/2
π/3
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Question # 4
tan (-135°) = ______
θ
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0
1
2
3
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Question # 5
The set of natural no. is closed under
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multiplication
subtraction
difference
division
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Question # 6
Domain of cos x is ______
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Question # 7
120°=______
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Question # 8
∫x sin xdx is equal to:
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sin x/x + cos x
sin x - cos x/x
x cos x + sin x
- x cos x + sin x
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Question # 9
Multiplicative inverse of 0 is
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0
1
+-1
Does not exist
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Question # 10
The distance of the point (-2,3) from x-axis is
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-2
2
3
1
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Question # 11
p(x) = 2x
4
- 3x
3
+ 2x - 1 is polynomial of degree
Choose an answer
1
2
3
4
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Question # 12
Tan 360° = _______
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-1
0
1
Undefined
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Question # 13
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Question # 14
f(x) = 2
x
+ 3 . 2
2x
+ 5 is
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 15
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Question # 16
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1
0
3
-1
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Question # 17
4
1+x
+ 4
1-x
= 10 is called
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Reciprocal equation
Exponential equation
Radical equation
None of these
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Question # 18
The greatest integer which divides the number 101
100
- 1 is
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100
1000
10000
100000
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Question # 19
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Question # 20
The sides of a right angled triangle are in A.P The ratio of sides is
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1:2:3
3:4:5
2:3:4
5:8:3
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Question # 21
A conditional "if p then q" is denoted by
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Question # 22
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Question # 23
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Question # 24
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Question # 25
n different objects can be arranged taken all at a time in ______
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(n + 1)! ways
(n - 1)! ways
n! ways
n ways
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Question # 26
Every identity matrix is
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Row-vector
Scalar
Column-vector
All
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Question # 27
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0
1
2
none of these
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Question # 28
If p and q are two statements then their conjunction is denoted by
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Question # 29
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Only one real solution
Exactly three real solution
Exactly one rational solution
Non-real roots
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Question # 30
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z is purely imaginary
a is any complex number
z is real
None of these
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Question # 31
Every recurring decimal represents
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A natural number
A rational number
An irrational number
A whole number
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