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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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Question # 3
For what value of k, 3x -2y+ k= 0 is tangent to the circle x2 +y2 +6x -4y =0
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k=0
k=0 or 26
k = 26
k=-13
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Question # 4
Domain of y = cot x = ______
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Question # 5
If f(x) = x
2
- x then f(2) is
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4
6
2
0
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Question # 6
The multiplicative inverse of 2/3 is
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3/2
-2/3
-3/2
1
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Question # 7
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1
-1
0
None of these
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Question # 8
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Question # 9
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Question # 10
If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is
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5
Equal to the moment of the force about origin
0
Cannot be found
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Question # 11
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Question # 12
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Question # 13
(x + 2)
2
= x
2
+ 4x
+ 4 is
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A linear equation
A cubic equation
A quadratic equation
None
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Question # 14
If n is not natural number, then the expansion (1 + x)
n
is valid for
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Question # 15
tan270° =__________;
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0
1
-1
Undefined
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Question # 16
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cos 2x + c
- cos 2x + c
tan 2x + c
cot 2x + c
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Question # 17
sec h x = ________
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Question # 18
Cos (cos4Ï€/3)=
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Ï€/2
Ï€/3
2Ï€/3
-Ï€/3
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Question # 19
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Question # 20
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 # 21
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Polynomial
Equation
Improper rational fraction
Proper rational fraction
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Question # 22
Which of the following function form 1 to itself are bi-jective
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F(x) = x + 3
F(x) = x
5
F(x) = 3x + 2
F(x) = x
2
+ x
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Question # 23
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Question # 24
The harmonic mean between a and b is
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Question # 25
Arithmetic mean between x - 3 and x + 5 is
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x + 1
x + 2
x + 3
x + 4
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Question # 26
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Question # 27
A and B throw a dice. The probability that A's throw is not greater then B's is
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5 / 12
7 / 12
1 / 6
1 / 2
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Question # 28
Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for
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BA
A2
AB
B2
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Question # 29
What is the number of elements of the power set of {0, 1}
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1
2
3
4
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Question # 30
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both a & c
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Question # 31
The multiplicative inverse of 0 is
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1
-1
0
Does not exist
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