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ECAT Mathematics Online Test MCQs With Answers
Question # 1
(x
3
-1/2x)
6
is
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15/16 x
2
2/13 x
2
17/7 x
2
16/15 x
2
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Question # 2
The set {-1, 1} is closed under the binary operation of
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Addition
Multiplication
Subtraction
Division
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Question # 3
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-a -b -c
1
0
-1
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Question # 4
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5 / 12
3 / 8
5 / 8
7 / 4
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Question # 5
The solution of the quadratic equation x2 -7x + 10=0, is
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2
5
2,5
7
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Question # 6
∀x,y∈ R and x < 0, y < 0, which one is true
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xy < o
xy = o
xy > o
None of these
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Question # 7
If sided of𝜟ABC are 16,20,and 33, then the value of the greatests angle to
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150𝜊 20'
132𝜊 35'
101𝜊 25'
160𝜊 50'
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Question # 8
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A = C
A = B
B = C
None of these
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Question # 9
The behavior of trigonometric function is called
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Continuity
Discontinuity
Periodicity
Smoothness
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Question # 10
The zero vector is regarded to be parallel to
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Every vector
Is some cases
Both a,b
None
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Question # 11
Period of 3 sin x is ______
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Question # 12
[i,j,k]
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0
2
1
-2
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Question # 13
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30°
45°
60°
75°
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Question # 14
The middle term in the expansion of (a +x)
12
is
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7th
8th
9th
6th
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Question # 15
If a is any real number and a = a is called
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symmetric property
Trichotomy Properties
Transitive Property
Reflexive Properties
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Question # 16
The 31 term of the A.P 5,2,-1.....is
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-82
82
85
-85
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Question # 17
The square root of 2i - 20i is
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±(5 - 2i)
±(5+ 2i)
(5 - 2i)
None of these
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Question # 18
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Question # 19
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Question # 20
The set of all positive even integers is
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Not a group
A group w.r.t subtraction
A group w.r.t division
A group w.r.t multiplication
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Question # 21
The vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at
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(acos a,asin a)
(a,0)
(cos a,sin a)
(0,0)
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Question # 22
Cos (
α
+
β
) - cos (
α
-
β
) =
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-2 sin
α
sin
β
2 sin
α
cos
β
-2 sin
α
cos
α
4 sin
α
cos
β
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Question # 23
The series obtained by adding the terms of an arithmetic sequence is called the
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Infinite series
Harmonic series
Geometric series
Arithmetic series
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Question # 24
i
2
=
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1
2
-1
0
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Question # 25
What is the conjugate of -7 -2i?
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-7 + 2i
7 + 2i
7 -2i
None of these
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Question # 26
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Question # 27
The equation of vertical asymptotes of y = cos ecx is
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x = 0
y = 0
x =∞
y =∞
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Question # 28
The value of sin
2
20° + sin
2
70° is equal to
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1
2
-1
1/2
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Question # 29
The number of triplets (x, y, z) satisfying sin
-1
x +cos
-1
y + sin
-1
z = 2
π
is
Choose an answer
0
2
1
Infinite
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Question # 30
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Question # 31
If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively then A, G, H are in
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A. P.
G. P.
H. P.
None of these
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