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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Matrix multiplication is
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Commutative
Not commutative
Not associative
Not distributive
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Question # 2
General solution of tan 5
θ
= cot 2
θ
is
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Question # 3
(1,0) is in the solution of the inequality
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3x + 2y > 8
2x - 3y < 4
2x + 3y > 3
x - 2y < -5
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Question # 4
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-1
0
1
undefined
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Question # 5
The probability that a person A will be alive 15 years hence is 5/7 and the probability that another person B will be alive 15 years hence is 7/9. Find the probability that both will be alive 15 years hence
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4/63
5/9
45/49
None of these
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Question # 6
The position vector of any point in space is
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Question # 7
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Question # 8
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Question # 9
Period of 3 sin x is ______
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Question # 10
Find a if 1 is a root of the equation x
2
+ ax + 2 = 0
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3
-3
2
0
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Question # 11
Which one is not defined∀n∈Z+
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-n!
n!
(-n)!
n!+0!=n!+1
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Question # 12
If a
1
, r are first term and the common ratio respectively then the sum of an infinite geometric series is
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Question # 13
In a triangle if a > 45°,β > 30° then y cannot be
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90°
100°
10°
120°
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Question # 14
What is the conjugate of -6 -i
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-6 +i
6 + i
-6 -i
6 -i
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Question # 15
Onto function is also called
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Binjective function
Injective function
Surjechive function
None of these
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Question # 16
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2 x 2
2 x 3
3 x 2
3 x 3
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Question # 17
If the angle between two vectors with magnitude 6 and 2 is 60° when their scalar product is
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12
6
3
0
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Question # 18
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Rule of quotient of fraction
Golden rule of fraction
Rule for product of fraction
Principle for equality of fraction
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Question # 19
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Question # 20
The additive inverse of 0 is
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1
-1
0
Does not exist
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Question # 21
If y = eax sin bx and y2 - 2ay1 + (a2+b2) y=0 the for what values of a and b we have y2+10y1+34y =0
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a = -10,b=34
a=-5,b=3
a=5,b=3
a=10,b=34
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Question # 22
sin
α=
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2 sin
α
cos
α
2 sin
α
cos
β
2 sin
α
/2 cos
α
/2
1+ tan
2
α
/2
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Question # 23
{0} is a
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Empty set
Singleton set
Zero set
Null Set
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Question # 24
If n is any positive integer then 4
n
>3
n
+ 4 is true for all
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Question # 25
If (1+x)
n
=C
0
+ C
1
x +C
2
x
2
+ ......+C
n
x
1
then C
0
C
2
+ C
1
C
3
+ C
2
C
4
+ .....+C
n-2
C
n
=
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Question # 26
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56
7
8
8/7
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Question # 27
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Question # 28
Additive inverse of - a - b is
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a
-a + b
a - b
a + b
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Question # 29
Second derivative of y = x
9
+ 10x
2
+ 2x - 1 at x = 0 is
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10
20
12
1
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Question # 30
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 # 31
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I and II quadrants
I and III quadrants
II and III quadrants
II and IV quadrants
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