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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
cos h
2
x + sin h
2
x
Choose an answer
an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 2
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(-6,4)
(-3,2)
(6,-4)
(3, -2)
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Question # 3
Choose an answer
all are correct
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Question # 4
A - B = ______
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Question # 5
The series obtained by adding the terms of a geometric sequence is called
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Infinite series
Arithmetic series
Geometric series
Harmonic series
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Question # 6
x = 0 is in the solution of the inequality
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x > 0
3x + 4 < 0
x + 3 < 0
x - 2 < 0
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Question # 7
If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that
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x is function of y
y is a function of x
y is independent variable
x is real valued function
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Question # 8
If ax + bx + c =0 is satisfied by every value of x,then
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b = 0,c = 0
c = 0
b = 0
a = b = c = 0
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Question # 9
sin(180° -
θ)=
Choose an answer
cos
θ
-cos
θ
Tan
θ
Sin
θ
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Question # 10
If d
1
is the distance between (0,0) and (1,2) and d
2
is the distance between (0,0) and (2,1) then
Choose an answer
d
1
= d
2
d
1
<d
2
d
1>
d
2
none of these
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Question # 11
If A and B are two matrices such that AB = B and BA = A then A2 + B2 =
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2 AB
2 BA
A + B
AB
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Question # 12
AB is a vertical pole and C is its middle point. The end A is on the level ground and P is any point on the level ground other than A. the portion CB subtends and angle
β
at P. If AP : AB = 2 : 1 then
β
=
Choose an answer
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Question # 13
The nth term of an A.P., is 12-4n. Its common difference is
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8
4
4
16
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Question # 14
Fifteen girls compete in a race. The first three places can be taken by them in
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3! ways
12! ways
15 x 14 x 13 ways
42 ways
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Question # 15
When we expand (a + 2b)
5
then
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a
5
+ 10a
4
b + 40a
3
b
2
+ 80a
2
b
3
+ 80ab
4
+ 32b
5
a
5
+ a
4
b + a
3
b
2
+ a
2
b
3
+ ab
4
+ b
5
5a
5
+ 4a
4
b + 3a
3
b
2
+ 2a
2
b
3
+ 1 ab
4
+ b
5
None
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Question # 16
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
Choose an answer
0
1
2
sin
2
x
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Question # 17
In polar form of complex number r =
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Question # 18
The domain of the principle cos function is
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Question # 19
n!/(n-1)!=
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n
n!
(n-1)!
0!
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Question # 20
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The law of of sines
The law of tangents
The law of consines
None of these
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Question # 21
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Question # 22
Choose an answer
none of these
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Question # 23
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Question # 24
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16 / 7
6 / 17
7 / 16
None of these
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Question # 25
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Question # 26
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none of these
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Question # 27
Empty set is
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Not the member of real numbers
Infinite set
Finite set
Not subset of every set
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Question # 28
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1
-1
-1/2
1/2
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Question # 29
Inequalities have ______ symbol
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2
3
4
1
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Question # 30
Choose an answer
l
2
+ m
2
+ n
2
= 0
l
2
- m
2
+ n
2
= 1
l
2
+ m
2
+ n
2
= 1
l
2
+ m
2
- n
2
= 0
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Question # 31
The lines l1and l2intersect. The shortest distance between them is
Choose an answer
Positive
Negative
Zero
Infinity
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