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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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additive property
multiplicative property
additive identity
multiplicative identity
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Question # 2
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Question # 3
Roots of the equation x
2
- x = 2 are
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{2, -1}
{1, 0}
{2, 1}
{-2, 1}
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Question # 4
If sin
α
and cos
α
are the roots of the equation px
2
+ qx + r =0, then
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p
2
- q
2
+ 2pr = 0
(p + r)
2
= q
2
- r
2
p
2
+ q
2
- 2pr = 0
(p - r)
2
= q
2
+ r
2
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Question # 5
The sets {1, 2, 4} and {4, 6, 8, 10} are
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Equal sets
Equivalent sets
Disjoint sets
Over lapping sets
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Question # 6
The equation of the sphere thro' the origin and making intercepts a, b, c on co-ordinate axes is
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x
2
+ y
2
+ z
2
+ ax + by + cz = 0
x
2
+ y
2
+ z
2
- 2ax - 2 by - 2 cz = 0
x
2
+ y
2
+ z
2
= a + b + c
x
2
+ y
2
+ z
2
- ax - by - cz =0
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Question # 7
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Question # 8
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Question # 9
If z = (x,y) , then z ̅ =
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(-x,y)
(x,-y)
(-x, -y)
None of these
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Question # 10
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 # 11
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Question # 12
If there are m rows and n columns in a matrix then its order is
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m x n
m x m
n x n
n x m
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Question # 13
If the points (a,2b):(c,a+b):(2c-a,h) lie on the same line then
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h=2a
h=a+b
h=ab
h=ac
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Question # 14
The law of tangents is ______
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Question # 15
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5 / 12
3 / 8
5 / 8
7 / 4
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Question # 16
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Question # 17
If n is a negative integer n! is
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1
0
Unique
Not defined
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Question # 18
The distance between the points (0,0) and (x,y) is
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x
2
+ y
2
x
y
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Question # 19
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 # 20
The set of rational number is represented by
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W
R
Q'
Q
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Question # 21
G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are
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2,2,2
3,3,3
2,2,4
2,3,4
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Question # 22
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Question # 23
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Question # 24
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2
-1
8
not defined
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Question # 25
√(-1b) =?
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b i
-i b
b2
i√b
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Question # 26
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are real no
both are not real
are imaginary no
both are imaginary
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Question # 27
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 # 28
The radius of the circle (x - 1)
2
+ (y + 3)
2
= 61 is
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8
4
64
None of these
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Question # 29
The Principal value of sin-1 (-1/1/2)
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π/2
-π/2
π
-π
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Question # 30
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Question # 31
Domain of sec
θ
is
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