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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
A conditional "if p then q" is denoted by
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Question # 2
What is the probability of being born on Wednesday?
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1/7
1/2
1/3
1/8
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Question # 3
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 # 4
For an A.P common difference d
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Can be zero
May or may not zero
Cannot be zero
None of these
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Question # 5
The maximum value of sin
θ
cos
θ
is
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1
1/2
1/4
1/6
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Question # 6
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30°
45°
60°
120°
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Question # 7
In the function f: A⟶B, the elements of a are called
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Images
Pre-images
ranges
Parameters
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Question # 8
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 # 9
Which symbolic notation represent unary operation ?
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-
∨
∧
⇔
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Question # 10
Which of the following integrals can be evaluated
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Question # 11
What is the period of tan 4/3 x =?
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π/4
4π/3
7π/4
3π/4
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Question # 12
The law of cosines reduces to a2 +c2 =b2 for
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α = 90°
β = 90°
γ = 90°
α +β +γ =180°
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Question # 13
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(x, y)
(kx, y)
(x, ky)
(kx, ky)
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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
If B-A≠φ , then n(B-A) is equal to
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n(a)+n(c)
n(c)-n(a)
n(a)-n(c)
None of these
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Question # 16
A relation in which the equality is true only for some values of the known is called ______
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An identity
An equation
A polynomial
None of these
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Question # 17
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-10
10/7
-10/7
-7/10
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Question # 18
A card is drawn from a pack of cards numbered 2 to 53. the probability that the number on the card is prime number less than 20 is
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2 / 13
4 / 13
5 / 13
8 / 13
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Question # 19
The Domain of y = sin x is ______
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Set of real numbers
Rational
Irrational no.
None of above
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Question # 20
If the roots of ax
2
- bx - c = 0 change by the same quantity, then the expression in a, b, c that does not change is
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Question # 21
The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0
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4
64
8
All values of k
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Question # 22
(0.90)
1/2
is equal to
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0.99
0.90
0.80
0.88
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Question # 23
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Question # 24
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A = B
B = C
A = C
None of these
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Question # 25
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Question # 26
The set {1, -1, 1, -1}, form a group under
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Addition
Multiplication
Subtraction
None
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Question # 27
The probability to get an odd number in a dice thrown once is
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1/2
1/6
1/3
2
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Question # 28
if f(x) = x
3
-3x
2
+5x -1, then f(-√2)=
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7+7√2
3+3√2
-7-7√2
-3-3√2
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Question # 29
(x +a)(x +b)(x +c)(x +) = k, k≠0 is reducible to quadratic form only if
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a+b=c+d
a+c=b+d
a+d=b+c
All are correct
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Question # 30
For f(x) = x
2
+ px +1, if f(3) = 3 then P =
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3/7
-2/5
-7/5
-7/3
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Question # 31
2π is the period of
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sin𝜽
tan𝜽
cot𝜽
all circular function
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