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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of
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Irrational numbers
Even numbers
Rational numbers
Whole numbers
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Question # 2
If (1+x)
n
=C
0
+ C
1
x +C
2
x
2
+ ......+C
n
x
1
then C
0
C
2
+ C
1
C
3
+ C
2
C
4
+ .....+C
n-2
C
n
=
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Question # 3
In R, the multiplicative inverse of a is
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0
1
-a
1/a
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Question # 4
The distance between the points A(3,1) and B(-2,-4) is
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5
25
10
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Question # 5
An experiment yields 3 mutually exclusive and exhaustive events A, B, C, if P(A) =2 and P(B) = 3. then P(C) =
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1 / 11
2 / 11
3 / 11
6 / 11
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Question # 6
An unbiased die is thrown. Then the probability of getting a prime is
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1/2
2/3
3/4
None of these
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Question # 7
The zero vector is
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[0, 0, 0]
[1, 1, 1]
[0, 1, 0]
[0, 0, 1]
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Question # 8
The direction cosines of a line equally inclined with co-ordinate axes are
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Question # 9
The sum of coefficients in the binomial expansion equals to
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2
2
n+1
2
n-1
2
n
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Question # 10
The probability of getting a number between 1 and 100 which is divisible by 1 and itself if only is
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1 / 4
1 / 2
3 / 4
25 / 98
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Question # 11
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Question # 12
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15/23
7/15
7/8
15/7
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Question # 13
Every set is an improper subset of
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Empty set
Equivalent set
Itself
Singleton set
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Question # 14
If A and B are skew-symmetric then (AB)t is
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At Bt
AB
-AB
BA
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Question # 15
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2x
3x
2
1
0
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Question # 16
If for two events A and B , P(A∪B)=1,then events A and B are
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Certain events
Mutually exclusive
Complementary events
Independent
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Question # 17
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Question # 18
The general solution of tan 3x = 1 is
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Question # 19
0 (zero) is
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An irrational number
A rational number
A negative integer
A positive number
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Question # 20
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Question # 21
Which of the following is the definition of singleton
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The objects in a set
A set having no element
A set having no subset
None of these
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Question # 22
Which one is a pair of allied angles
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(180° -
θ)
(180° -
θ,
180° +
θ)
(180° +
θ)
None of these
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Question # 23
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0
1
-1
none of these
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Question # 24
The fixed point from which all the points of a circle are equidistant is called the
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chord of the circle
centre of the circle
diameter of the circle
radius of the circle
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Question # 25
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1
2
0
4
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Question # 26
The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is
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0.4cm
8.8πcm
17.6 πcm
35.2πcm
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Question # 27
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 # 28
A Series which does not coverage to a Unique sum is called
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Harmonic Series
Oscillatroy Series
Arithmetic Series
None of these
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Question # 29
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Question # 30
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405 / 256
504 / 259
450 / 263
None
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Question # 31
A line joining two distinct points on a parabola is called a ______ of the parabola.
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Chord
Tangent
Lust rectum
directrix
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