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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is
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1/12
1/6
5/12
7/12
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Question # 2
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- cos x
sin x
- sin x
sec x
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Question # 3
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Question # 4
1/3 is ______
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A prime number
An integer
A rational number
An irrational number
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Question # 5
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-1
0
1
undefined
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Question # 6
If A and B are two matrices such that AB = B and BA =A, then A
2
+ B
2
=
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2 AB
2 BA
A + B
AB
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Question # 7
sin (
α -
β
)=
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sin
α
cos
β
- cos
α
sin
β
sin
α
cos
β
+ cos
α
sin
β
sin
α
cos
α
- cos
β
sin
β
sin
α
cos
α
- cos
β
sin
β
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Question # 8
For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?
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3a2
2a2
2a
-7a
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Question # 9
A quadratic equation has two
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roots
degree
variables
constants
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Question # 10
A sequence whose reciprocal is an A.P is called
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Oscillator
H.P
G.P
None of these
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Question # 11
A stationary point x is a relative exterma of y= f(x) is
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f′′ (x) > 0
f′′ (x) < 0
f′′ (x) ≠ 0
f′′(x) = 0
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Question # 12
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a
x
a
x
In a
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Question # 13
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Question # 14
The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if
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Question # 15
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Question # 16
If f (x) = |x|, then (0,0) is the
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Critical point
Inflection point
Stationary point
None of these
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Question # 17
For trival solution |A| is
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A
|A| = 0
A = 0
|A|≠ 0
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Question # 18
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Question # 19
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1
2
0
4
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Question # 20
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Question # 21
{1, 2, 3, 4,.....} is set of ______
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Natural numbers
Whole numbers
Integers
Rational numbers
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Question # 22
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Question # 23
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None of these
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Question # 24
The set of the first elements of the orders pairs forming a relation is called its
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Relation in B
Range
Domain
Relation In A
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Question # 25
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 # 26
nCn-r is equal to
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n!
n-1Cr
nCr
None of these
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Question # 27
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None of these
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Question # 28
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15/23
7/15
7/8
15/7
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Question # 29
If f(x) = x
2
then f(-2) is
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-2
2
4
-4
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Question # 30
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none of these
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Question # 31
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none of these
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