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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The set Q
Choose an answer
Forms a group under addition
Does not form a group
Contains no additive indentity
Contains no additive inverse
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Question # 2
Choose an answer
1
1/2
0
None
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Question # 3
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The law of consines
The law of sines
The law of tangents
None of these
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Question # 4
cos (
α
+
β
) + cos (
α
-
β
) =
Choose an answer
4 cos
α
cos
β
2 cos
α
cos
β
2 sin
α
sin
β
2 sin
α
cos
β
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Question # 5
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Question # 6
The angle of elevation of the tops of two towers at the middle point of the line joining the foots of the tower are 60
ο
and 30
ο
respectively. The the ratio of the heghts of the tower is
Choose an answer
2 : 1
3 : 1
1 : 2
1 : 3
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Question # 7
64.A point (x, y, z) moves parallel to xy plane. Which of the three variables x, y, z remain fixed?
Choose an answer
z
x
y
x and y
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Question # 8
Choose an answer
Commutative law of multiplication
Closure law of multiplication
Associative law of multiplication
Multiplication identity
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Question # 9
If you are looking a high point from the ground, then the angle formed is
Choose an answer
Angle of elevation
Angle of depression
Right angle
Horizon
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Question # 10
What is the conjugate of -6 -i
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-6 +i
6 + i
-6 -i
6 -i
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Question # 11
Choose an answer
A
-
A
t
-A
A
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Question # 12
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
=
Choose an answer
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Question # 13
Choose an answer
none of these
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Question # 14
Choose an answer
x
3
- x
2
+ x + c
6x - 2 + c
x
3
- 2x + c
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Question # 15
Number of combination of zero or more things out of n different things
Choose an answer
nPn
nPr
nCr
2n
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Question # 16
The eccentricity e of an ellipse is always
Choose an answer
Rational
Real
Irrational
Integer
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Question # 17
Through how many radians does the minute hand of a clock turn in one hour
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Question # 18
The exact degree value of the function sin-1( -√3/2) is
Choose an answer
70
ο
50
ο
90
ο
60
ο
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Question # 19
Two quadratic equation in which xy term is missing and the coefficients of x
2
and y
2
are equal, give a linear equation by ______
Choose an answer
Addition
Subtraction
Multiplication
Division
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Question # 20
i
101
=
Choose an answer
i
i
2
-i
-1
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Question # 21
The point _________ is in the solution of the inequality 2x + 3y < 5
Choose an answer
(1,1)
(2,2)
(0,1)
(0,2)
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Question # 22
In any triangle ABC,with usual notationαsinβ =____;
Choose an answer
b sinα
bsinβ
αsinα
None of these
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Question # 23
Choose an answer
0
-2
1
4
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Question # 24
Choose an answer
5
15
10
20
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Question # 25
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Singular
Non-singular
Adjoint
None of above
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Question # 26
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Question # 27
The line joining the center of a circle to the midpoint of the chord is
Choose an answer
Perpendicular to the tnagent
Perpendicular to the normal
Perpendicular to the chord
Perpendicular to the chord
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Question # 28
Choose an answer
cot x + c
tan x + c
-cot x + c
-tan x + c
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Question # 29
A non-terminating, non-recurring decimal represent
Choose an answer
A natural number
A rational number
An irrational number
A prime number
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Question # 30
The contra positive of p → q is
Choose an answer
q → p
~q→~q
~p→~q
None of these
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Question # 31
1
0
= ______
Choose an answer
360'
60"
60'
3600'
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