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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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Singular
Non-singular
Adjoint
None of above
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Question # 2
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2
2
- n - 1
1 - 2
-n
n + 2
-n
-1
2
n
- 1
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Question # 3
If (2, 3) is the mid point of (a, 3) and (5, b) then
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a = 1 , b = -3
a = -1 , b = 3
a = 1 , b =3
a = -1 , b = -3
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Question # 4
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1/x
-x
2x
0.5 x
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Question # 5
The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is
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36 square units
3 square units
6 square units
18 square units
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Question # 6
If f(x) = cos x then f(0) is
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0
1
1/2
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Question # 7
The period of|sin2x| is
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π/2
-π/2
π
π/3
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Question # 8
The fifth term of an A.P. Whose first term is 5 and common difference is 3,is
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20
17
25
30
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Question # 9
The set {x +iy / x, y ∈ Q} forms a group under the binary operation of
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Addition
Multiplication
Division
Both addition and multiplication
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Question # 10
The set { {a,b} } is
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Infinite set
Singleton set
Two points set
Empty set
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Question # 11
What is the probability of being born on Wednesday?
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1/7
1/2
1/3
1/8
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Question # 12
Let S
n
denote the sum of the first n terms of an A.P. If S
2n
= 3 S
n
: S
n
is equal to
Choose an answer
4
6
8
10
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Question # 13
1 radian = ______
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180°
90°
57.296°
60°
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Question # 14
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 # 15
Derivative of x
3
w.r.t x is
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0
1
3x
2
x
3
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Question # 16
n
C
2
= exists when n is ______
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Question # 17
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none of these
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Question # 18
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Question # 19
Decimal part of irrational number is
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Terminating
Repeating only
Neither repeating nor terminating
Repeating and terminating
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Question # 20
Which of the following is factor of p(x) =2x3 +3x2+3x+2 ?
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x+1
2x+1
3x+1
2x-1
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Question # 21
For trival solution |A| is
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A
|A| is non zero
A = 0
None of these
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Question # 22
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none of these
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Question # 23
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Question # 24
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-sin
θ
cos
θ
sin
θ
-cos
θ
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Question # 25
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Question # 26
A = B iff
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All elements of A also the elements of B
A and B should be singleton
A and B have the same number of elements
If both have the same element
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Question # 27
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Question # 28
The coefficient of xn in the expansion of (1-2x)-1 is
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(-1)n2n
2n
(-1)(n+1)xr
(n+1)2n
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Question # 29
How many 6-Digit number can be formed without repairing any digit from the digits 0,1,2,3,4,5
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720
600
120
6-5!
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Question # 30
f(x) = 1 is
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identity function
constant function
linear function
quadratic function
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Question # 31
Let P(x
1
, y
1
) and Q(x
2
, y
2
) be two points in the co-ordinate plane. Let d = distance between P and Q
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