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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
In (x + iy), y is called as
Choose an answer
Imaginary part
Complex number
Real part
None of above
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Question # 2
csc(-π/2) = __________;
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0
1
-1
Undefined
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Question # 3
The5thand 13th terms of an A.P are 5 and-3 respectively The first term of the A.P is
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1
-15
9
2
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Question # 4
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0
1
-1
2
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Question # 5
The value of sin-1 24/25 is equal to
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csc-1 25/24
sec-1 24/25
2 tan-1 4/5
2cos-1 24/25
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Question # 6
Every natural number is
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A prime number
An irrational number
An integer
An even number
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Question # 7
If a2 = b2 then
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a = b
a+b= 1
|a+b| =0
None
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Question # 8
sin(π/2+θ) = _______;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 9
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Question # 10
Which term of the A.P 5,8,11,24.............is 320
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104th
106th
105th
64th
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Question # 11
For two events A and B if P(A) = P (A/B) = 1/4 and P(B/A) = 1/2, then
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A is sub-event of B
A and B are mutually exclusive
A and B are independent and P(A/B) = 3/4
None of these
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Question # 12
The matrix A is Hermitian when (A)' =
Choose an answer
A
-A
A
A'
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Question # 13
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Question # 14
π is the ration of
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Area of a circle to its diameter
Area of a circle to its radius
Circumference of a circle to its diameter
Circumference of circle to its radius
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Question # 15
If the exponent in the binomial expansion is 6, then the middle term is
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2nd
3rd
4th
5th
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Question # 16
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Square matrix
Row matrix
Symmetric matrix
Null matrix
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Question # 17
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2s
2
2s
3
s
3
3s
3
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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
Latus rectum = 4 x ______________
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focal distance of the vertex
Chord
Focus
1/2
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Question # 21
The set { {a,b} } is
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Infinite set
Singleton set
Two points set
Empty set
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Question # 22
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Question # 23
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A
A'
U
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Question # 24
If two balls are drawn from a bag containing 3 white, 4 black and 5 red balls. Then the probability that the drawn balls are of different colours is
Choose an answer
1 / 66
3 / 66
19 / 66
47 / 66
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Question # 25
A diagonal matrix in which the diagonal elements are equal is called a
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Null matrix
Identity matrix
Scalar matrix
Row matrix
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Question # 26
A = [3] is a/an
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Square matrix
Scalar matrix
Diagonal matrix
Identity matrix
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Question # 27
Choose an answer
I
|A|
|A| I
None of these
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Question # 28
In one hour, the hour hand of a clock turns through
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Question # 29
The equation of the circle with centre (5, -2) and radius 4 is
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(x-5)
2
+ (y+2)
2
= 16
(x-5)
2
+ (y+2)
2
= 4
(x-5)
2
+ (y-2)
2
= 16
(x-5)
2
+ (y-2)
2
= 4
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Question # 30
The quadratic equation 8 sec2θ - 6 secθ +1 =0 has
Choose an answer
Infinitely many roots
Exactly two roots
Exactly four roots
No roots
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Question # 31
∛8.6 is approximately equal to
Choose an answer
2.488
2.48
2.0488
2.05
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