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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is
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3! P(n, r - 3)
P(n, 3) P(n, r - 3)
P(r, r)P(n, r - 3)
P(n - 3, r)
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Question # 2
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Question # 3
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I quadrant
II quadrant
III quadrant
IV quadrant
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Question # 4
60° = ______
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Question # 5
cos(3π/2 +θ) = _____;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 6
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Question # 7
2x + 3y > 4 is a linear inequality in
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one variable
two variables
three variables
none of these
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Question # 8
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Question # 9
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Question # 10
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 # 11
If uv= Projuv then
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Uandvare parallel
vis a unit vector
Uis a unit vector
Both b and c
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Question # 12
In one hour the minute hand of a clock turns through
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Question # 13
The roots of ax2 + bx + c = 0 are always unequal if
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b2 - 4ac = 0
b2- 4ac ≠ 0
b2- 4ac > 0
b2- 4ac ≥ 0
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Question # 14
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 # 15
Total number of subsets that can be formed out of the set {a,b,c} is
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1
4
8
12
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Question # 16
The parabola y
2
= x is symmetric about
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x-axis
y-axis
Both x and y-axis
The line y = x
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Question # 17
The condition for polynomial equation ax
2
+ bx + c = 0 to be quadratic is
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Question # 18
I is not
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Real number
Natural number
Prime Number
Whole Number
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Question # 19
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15
9
7
8
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Question # 20
5x
3
+ 3x - is a ______
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Polynomial of degree 3
Polynomial of degree 2
Polynomial of degree 1
Polynomial of degree 0
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Question # 21
If n(A) = n then n(P(A)) is
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2n
n
2
n/2
2
n
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Question # 22
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Question # 23
A vertical pole is 8m high and the length of its shadow is 6m. The angle of elevation of the sun of the moment is
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57𝜊
-48𝜊
27𝜊
53𝜊
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Question # 24
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The law of sines
The law of consines
The law of tangents
None of these
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Question # 25
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Question # 26
The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)
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I & III
I & IV
II & IV
II & III
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Question # 27
If 2 and 2 are x and y components of vector then its angle with x-axis is
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30
°
45
°
60
°
90
°
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Question # 28
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0
Independent of a
Independent of b
Independent of c
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Question # 29
Any recurring decimal represents a
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Irrational no
Integer
Rational no
None of these
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Question # 30
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0
1
-2
10
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