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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
A number H is said to be the H.M. between a and b if a, H, b are in
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A.P.
G. P.
H. P.
None of these
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Question # 3
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Question # 4
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 # 5
Tan(
α
-
β
)=
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Question # 6
1
0
= ______
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Question # 7
O is ______
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A positive integer
A negative integer
A natural number
An integer
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Question # 8
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Question # 9
If one root of 5x2 + 13x + k = 0 be the reciprocal of the other root the value of k is
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0
2
1
5
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Question # 10
Period of cos 2x is ______
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Question # 11
[i,j,k]
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0
2
1
-2
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Question # 12
A box containing 10 mangoes out of which 4 are rotter. Two mangoes are taken together from the box. If one of them is found to be good, the probability that the other is also good is
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1 / 3
8 / 15
5 / 13
5 / 9
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Question # 13
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I quadrant
II quadrant
III quadrant
IV quadrant
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Question # 14
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Question # 15
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Question # 16
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2 x 2
2 x 3
3 x 2
3 x 3
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Question # 17
The point ________ is in the solution of the inequality 4x - 3y < 2
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(0,1)
(2,1)
(2,2)
(3,3)
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Question # 18
The multiplicative inverse of x such that x = 0 is
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-x
does not exist
1/x
0
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Question # 19
Domain of sin x is ______
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Question # 20
The point P (5,8) and the origin lie on the side of the line 3x+ 7y+ 15 =0
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Same side
P above and origin below
Opposite side
P below and origin above
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Question # 21
The set (Z, +) forms a group
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Forms a group w.r.t addition
Forms a group w.r.t multiplication
Non commutative group w.r.t multiplication
Doesn't form a group
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Question # 22
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A prime number
An integer
A whole number
An irrational number
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Question # 23
If (1+x-2x
3
)
6
= 1+a
1
x + a
2
x
2
+ a
3
x
3
+ ..... the the value of a
2
+ a
4
+ a
6
+ .....+a
12
will be
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32
31
64
1024
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Question # 24
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Question # 25
A sequence is a functions whose domain is a subset of the set of
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Natural numbers
Real numbers
Whole numbers
Rational numbers
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Question # 26
The direction cosines of any normal to the xy-plane are
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<1, 0, 0>
<0, 1, 0>
<1, 1, 0>
<0, 0, 1>
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Question # 27
y=0 of the parabola y
2
= 4ax is the
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equation of directirx
Equatio of the tangent
Equation of axis
equation of latus rectum
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Question # 28
Range of cot
θ
is
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(+
∞
to -
∞
)
(-1 to +1)
(-5 to +5)
Set of even numbers only
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Question # 29
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Question # 30
(2, 1) is in the solution of the inequality
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2x + y
>
7
x - y > 2
3x + 5y < 6
2x + y < 6
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Question # 31
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(2x+a+b+c)
(a+b+c)
(a+b+c+x)
0
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