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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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- cos x
sin x
- sin x
sec x
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Question # 2
A dice is rolled. The probability that the dots on the top are greater than 4 is
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1/6
1/3
1/2
1
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Question # 3
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Question # 4
A key ring is an example of
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Permutation
Circular permutation
Combination
None
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Question # 5
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Question # 6
If x - 1 is a factor of x4 - 5x2 + 4 then other factor is
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(x + 2)2(x - 1)
(x + 2)(x - 1)2
(x+2)(x2- x- 2)
(x + 2)2(x - 1)2
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Question # 7
The solution of equation x2 + 2 = 0 in the set of real number is
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Infinite set
Singleton set
Null set
None of these
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Question # 8
If the roots of ax2 + b =0 are real and distinct then
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ab > 0
a = 0
ab < 0
a > 0,b > 0
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Question # 9
For any integer k, w
n
= ______ when n = 3k
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1
2
0
-4
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Question # 10
Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is
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-a
a +1
-1-a
None of these
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Question # 11
The equation of the parabola with directirx x = 2 and the axis y = 0 is
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y
2
= 8x
y
2
= -8x
y
2
= 4x
y
2
= -4x
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Question # 12
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Question # 13
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4x + 1
4x
2x
3
none of these
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Question # 14
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n(A)
n(B)
0
1
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Question # 15
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Question # 16
Range of sin
θ
is
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Question # 17
∀a,b ε R, ab = be is a
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Commutative law of multiplication
Closure law of multiplication
Associative law of multiplication
Multiplicative identity
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Question # 18
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Question # 19
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30°
45°
60°
120°
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Question # 20
∀x∈(a,b),f(x) is increasing if
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f′(x) >0
f′(x) <0
f′′(x) >0
f′′(x) =0
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Question # 21
The range of y = cot x = ______
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-
∞
> y > +
∞
-
∞
> x > +
∞
-
∞ <
y < +
∞
None of above
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Question # 22
The function whose range consists of just one element is called
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One-One Function
Identity Function
Onto Function
Constant Function
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Question # 23
The domain of a finite sequence is a
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Set of natural numbers
R
Subset of N
Proper subset of N
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Question # 24
Which one is a pair of allied angles
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(180° -
θ)
(180° -
θ,
180° +
θ)
(180° +
θ)
None of these
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Question # 25
A matrix with a single row is called a
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Column matrix
Row matrix
Null matrix
Identity matrix
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Question # 26
The domain of f(x) = log x is
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[0,
∞
]
(0,
∞
)
[0,
∞
[
[
∞
,
∞
]
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Question # 27
Associative law of multiplication
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ab = ba
a(bc) = (ab) c
a(b+c) = ab + ac
(a + b)c = ac + bc
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Question # 28
Optimize means ______ a quantity under certain constraints
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Minimize
Maximize
Maximize or minimize
None of these
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Question # 29
If y = sin (ax + b), then fourth derivative of y with respect to x =
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a
4
cos (ax + b)
a
4
sin (ax + b)
-a
4
sin (ax + b)
a
4
tan (ax + b)
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Question # 30
The interval in which f(x)=x3-6x2+9x is increasing
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1<x<3
x<1 and x>3
X ≥1 and x ≤ 3
-∞ < x < ∞
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Question # 31
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A rational number
A irrational number
An even integer
A factor of 36
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