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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The set {1,-1, i, -i} form a group under
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Addition
Multiplication
Subtraction
None
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Question # 2
If f(x)= x
3
then f(-2) is
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-2
-4
-8
8
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Question # 3
tan (-135°) = ______
θ
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0
1
2
3
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Question # 4
If nis positive integers, then 2
n
>2n+1, only when
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n≤ 3
n≥ 3
n≤ 2
n≤ 1
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Question # 5
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A natural number
A rational number
An irrational number
A whole number
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Question # 6
The term involving x
4
in the expansion of (3 - 2x)
7
is
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120
1512
1250
15120
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Question # 7
sin
-1
[-1/2] = ______
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Question # 8
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360°
180°
90°
None of these
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Question # 9
The condition for ax2 + bx c to be expressed as the product of linear polynomials is
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b4 - 4ac =0
b4- 4ac ≥0
b4- 4ac <0
b4= 4ac
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Question # 10
64.A point (x, y, z) moves parallel to xy plane. Which of the three variables x, y, z remain fixed?
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z
x
y
x and y
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Question # 11
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Question # 12
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l
2
+ m
2
+ n
2
= 0
l
2
- m
2
+ n
2
= 1
l
2
+ m
2
+ n
2
= 1
l
2
+ m
2
- n
2
= 0
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Question # 13
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Question # 14
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-2x cos x
2
-2x
2
sin x
2
-x
2
sin x
-2x
2
sin x
2
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Question # 15
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Question # 16
Rank of matrix [1 3 5 0] is
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1
3
2
4
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Question # 17
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c = 0
c = -1
c = -2
c = 1
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Question # 18
A quadratic equation has two
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roots
degree
variables
constants
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Question # 19
cos
-1
(cos x) =
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x
cos x
x = 1/x
cos
-2
x
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Question # 20
The constant distance of all points of the circle from its centre is called the
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Radius of the circle
Secant of the circle
Chord of the circle
Diameter of the circle
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Question # 21
Order (or sense) of an inequality is changed by multiplying or dividing its each side by a:
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Zero
one
negative constant
Non negative constant
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Question # 22
Three integers are chosen at random from the first 20 integers. Then probability that their product is even, is
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2 / 19
3 / 29
17 / 19
4 / 19
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Question # 23
sin(π+θ)=_______;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 24
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Question # 25
The number of words that can be formed out of the letters of the word ASSASSINATION is
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Question # 26
f(x) = 2x
2
+ 3x + 5 is a
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 27
Name the property used in a (b-c) = ab - ac
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commutative property of multiplication
distributive property of multiplication
associative property of multiplication
multiplicative inverse
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Question # 28
Which of the following integrals can be evaluated
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Question # 29
The general term in the expansion of (a+x)n is
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(r-1)th term
(r+1)th term
rth term
none
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Question # 30
The square matrix A is skew Hermitian when (A)'=
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A
A'
-A
A
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Question # 31
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A
A'
U
None of these
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