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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
The square roots of negative numbers is called
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Real no
Complex no
Positive no
Negative no
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Question # 2
If (0, 0) and (-1, 0) are end points of a diameter, then the equation of the circle is
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Question # 3
The set { {a,b} } is
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Infinite set
Singleton set
Two points set
Empty set
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Question # 4
What is the period of 5 cot x=?
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π
-π
π/2
2π
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Question # 5
cos2a=______;
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cos2 a-sin2 a
2cos2 a-1
1-2 sin2 a
All of these
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Question # 6
The sum of the even coefficients in the expansion (1 + x)
n
is
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n
2
2
n-2
2
n-1
2
n
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Question # 7
The eccentricity of the conic 9x
2
- 16y
2
= 144 is
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4/5
5/4
4/3
3/4
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Question # 8
An integral of 1/x dx is:
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1/x
2
1/-x
2
1/lnx
lnx
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Question # 9
If a=5j + 2j,b=2i -3j, then|a+2b|=
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√21
√97
√39
None of these
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Question # 10
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Question # 11
By expressing sin 125° in terms of trigonometrical ratios, answer will be
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sin 65° = 0.9128
sin 55° = 0.8192
sin 70° = 0.5384
sin 72° = 0.1982
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Question # 12
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Question # 13
The number of words that can be formed out of the letters of the word ASSASSINATION is
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Question # 14
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π
2π
π/2
None of these
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Question # 15
Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0
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(1,4)
(4,2)
(3,1)
(4,1)
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Question # 16
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Question # 17
In how many ways can 5 persons be seated at a round table
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5!
4!
3!
120
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Question # 18
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Question # 19
The line y = 4x + c touches the hyperbola x
2
- y
2
= 1 if
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Question # 20
The symbol of irrational is
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W
N
Q
Q'
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Question # 21
A committee consists of 9 experts taken from three institutions A, B, and C, of which 2 are from, A, 3 form B and 4 from C. If three experts resign, then the probability that they belong to different institutions is
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1 / 729
1 / 24
1 / 21
2 / 7
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Question # 22
120° degrees are equal to how many radians?
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Question # 23
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16 / 7
6 / 17
7 / 16
None of these
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Question # 24
The multiplicative inverse of -3i is
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3i
-3i
-1/3i
1/3 i
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Question # 25
f(x) = 2
x
+ 3 . 2
2x
+ 5 is
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 26
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Square matrix
Row matrix
Symmetric matrix
Null matrix
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Question # 27
A number A is called the arithmetic mean between a and b if a, A, b is ______
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Arithmetic sequence
Geometric sequence
Harmonic sequence
Arithmetic sequence
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Question # 28
The set (Z, +) forms a group
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Forms a group w.r.t addition
Forms a group w.r.t multiplication
Non commutative group w.r.t multiplication
Doesn't form a group
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Question # 29
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cos x + c
-sin x + c
-cos x + c
sin x + c
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Question # 30
If cos
α
= 4/5, then cos
α
/2
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Question # 31
The product of cube roots of unity is
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Zero
1
-1
None of these
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