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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
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1
5
7
9
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Question # 3
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-1
0
1
undefined
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Question # 4
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k3
0
3k
k6
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Question # 5
f(x) = C is
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identity function
constant function
linear function
quadratic function
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Question # 6
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Question # 7
The measure of the acute angle between the lines represented by x2 -xy -6y2 =0 is
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120°
30°
130°
45°
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Question # 8
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Hermitian matrix
Skew-hermitian matrix
Symmetric matrix
Identity matrix
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Question # 9
The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x
2
+ 5x -5 for x> 0 is
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1
5
-5
-1
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Question # 10
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0
1
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Question # 11
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range of f
domain of f
both (a) and (b)
none of these
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Question # 12
The equation of the circle witch centre (-3, 5) and radius 7 is
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(x-3)
2
+ (y+5)
2
= 7
2
(x-3)
2
+ (y-5)
2
= 7
2
(x+3)
2
+ (y+5)
2
= 7
2
(x+3)
2
+ (y-5)
2
= 7
2
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Question # 13
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5
-5
none
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Question # 14
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Question # 15
The graph of a quadratic function is
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Circle
Ellipse
Parabola
Hexagon
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Question # 16
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 # 17
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0
-1
1/2
1
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Question # 18
Multiplicative inverse of 0 is
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0
1
+-1
Does not exist
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Question # 19
Water seeps out of a conical filter at eh constant rate of 5 cm/sec. the height of the cone of water in the filter is 15 cm. the height of the filter is 20 cm and radius of the base is 10 cm. the rate at which the height of the water decreases is
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Question # 20
If sin x + sin
2
x = 1, then the value of Cos
12
x + 3cos
10
x + 3cos
8
x + cos
6
x + 2 cos
4
x + cos
2
x-2 is equal to
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0
1
2
sin
2
x
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Question # 21
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Question # 22
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100
99
0
none of these
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Question # 23
If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______
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Question # 24
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0
-2
1
4
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Question # 25
Which is the proper rational function
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Question # 26
The approximate percentage increase in the volume of a cube if the length of its each edge changes from 5 to 5.02 is
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1.2%
1.5%
0.16%
100.16%
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Question # 27
The negative square root of 9 can be written as:
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-√9
√9
√18
-√18
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Question # 28
If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively then A, G, H are in
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A. P.
G. P.
H. P.
None of these
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Question # 29
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Question # 30
If x,y are two positive distinct numbers then
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A>G>H
A<G<H
A=G=H
None of these
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Question # 31
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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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