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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
Range of sin
θ
is
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Question # 3
For any set X, X∪X is
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X
X'
Φ
Universal Set
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Question # 4
The number of values of x in the interval [0, 5
π
] satisfying the equation 3 sin
2
x - 7 sinx + 2 = 0 is
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0
5
6
10
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Question # 5
The position vector of the point P(a, b, c) is
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Question # 6
The set of even prime numbers is
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(2,4,6,8,10}
{2,4,6,8,10,12}
{1,3,5,7,9}
{2}
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Question # 7
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Question # 8
AB is a vertical pole and C is its middle point. The end A is on the level ground and P is any point on the level ground other than A. the portion CB subtends and angle
β
at P. If AP : AB = 2 : 1 then
β
=
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Question # 9
If the function y=2x -3, what is the preimage of 11?
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11
7
5
2
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Question # 10
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Principle of equality of fractions
Rule for product of fractions
Golden rule of fractions
Rule for quotient of fractions
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Question # 11
What is the conjugate of -7 -2i ?
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-7 + 2i
7 +2i
7 -2i
√53
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Question # 12
Co-ordinate of a point on the parabola y
2
= 8x whose focal distance is 4 are:
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(2 , 4)
(-2 ,-4)
(-2, 4)
(2,-4)
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Question # 13
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0
-2
1
4
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Question # 14
If m and n be two scalars, then (m+n) g =
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0
m+n
m▁a+n▁a
ma - m▁a
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Question # 15
The number of words that can be formed out of the letters of the word ASSASSINATION is
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Question # 16
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real number
complex number
rational number
irrational number
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Question # 17
The equations of the line thro' the point (2, 3, -5) and equally inclined to the axis are
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Question # 18
The number of standard parabolic functions are is
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4
2
3
1
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Question # 19
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Question # 20
n(n-1)(2n-1), for all natural numbers n, is divisible by
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12
6
2
18
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Question # 21
What is the period of 6 sin x=?
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π
-π
π/2
2π
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Question # 22
The magnitude of vector a 2i-7j is
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√23
√43
3
√53
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Question # 23
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Question # 24
The set { 1 , -1} is closed w.r.t.
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Addition
Multiplications
Subtraction
None of these
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Question # 25
A key ring is an example of
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Permutation
Circular permutation
Combination
None
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Question # 26
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A
A'
U
U'
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Question # 27
If the elevation of the sun is 30°, then the length of the shadow cast by a tower of 150 ft height is
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Question # 28
The velocity of a particle moving along a straight line is given by v = 3t + t
2
. The acceleration of the particle after 4 seconds from the start is
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4
11
26
None
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Question # 29
24 can be written as a product of
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Odd factors
Even factors
Whole factors
Prime factors
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Question # 30
Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is
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2
3
4
1
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Question # 31
The sample space for tossing a coin once is
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{T, T}
{H, H}
{H, T}
None of these
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