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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
tan
-1
x > cot
-1
x holds for
Choose an answer
x > 1
x < 1
x = 1
All values of x
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Question # 2
A rule that assigns to each elements x in X a unique element y in Y is called a ____________
Choose an answer
domain
range
function
none of these
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Question # 3
A fraction in which the degree of the numerator is greater than or equal to the degree of the denominator is called
Choose an answer
A proper fraction
An improper fraction
An equation
An identity
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Question # 4
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Question # 5
If w+w2 is a root of (x+1)(x+2)(x+3)(x+4) = k, then
Choose an answer
k=0
k=1
k=w
k=w2
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Question # 6
The distance between the points (2, 2) and (3, 3) is
Choose an answer
10
5
2
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Question # 7
If A = [aij]mxpand B =[aij]pxnthen order of BA is
Choose an answer
m x n
p x n
n x m
None of these
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Question # 8
The conjugate of √5
i
is
Choose an answer
√5
-√5 i
i
5i
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Question # 9
Choose an answer
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Question # 10
(ABC)' =
Choose an answer
CBA'
CBA
C'B'A
C'B'A'
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Question # 11
Choose an answer
0
-1
1
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Question # 12
An infinite sequence has no
Choose an answer
nth term
Last term
Sum
None of these
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Question # 13
Choose an answer
Additive property in R
Multiplication property in R
Cancellation property in R
Distribution property in R
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Question # 14
Choose an answer
Rational
Irrational
Even
Odd
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Question # 15
graph of sine function is bounded between lines
Choose an answer
y± 1 = 0
x± 1 = 0
x± y - 0
None of these
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Question # 16
∫x/Sin
2
x dx is equal to:
Choose an answer
x cot x + ln|sinx |
-x cot x - ln|sinx |
x cot x - ln|sinx |
x. tan x- ln|secx |
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Question # 17
Choose an answer
cot x + c
tan x + c
-cot x + c
-tan x + c
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Question # 18
If
θ
= 60° then
Choose an answer
sin
θ
= 1/2
tan
θ
= cot 30°
θ
=
π
/4
sec
θ
= 4
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Question # 19
A square matrix A = [aij] is upper triangular when
Choose an answer
cij = 0
bij = 0
aij = 0 for all i > j
dij = 0
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Question # 20
The general equation of circle x
3
+ y
3
+ 2gx + 2fy + c = 0 , contains:
Choose an answer
Three independent variables
Two independent conntants
Three indepentent parameters
Three independent constants
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Question # 21
Choose an answer
56
7
8
8/7
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Question # 22
cos(3π/2 +θ) = _____;
Choose an answer
sinθ
cosθ
-sinθ
-cosθ
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Question # 23
If n is not natural number, then the expansion (1 + x)
n
is valid for
Choose an answer
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Question # 24
Choose an answer
I
14 I
0
None of these
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Question # 25
Range of 3 sin x is ______
Choose an answer
[ -3, 3]
[-1, 1]
R
None of these
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Question # 26
The coefficient of x
10
in the expansion (x
3
+3/x
2
)
10
is
Choose an answer
1700
17023
17027
17010
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Question # 27
The multiplicative inverse of 1 is
Choose an answer
1
-1
0
Does not exist
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Question # 28
The area enclosed between the graph y = x
2
-4x and the x- axis is:
Choose an answer
20/3
41/3
32/3
25/3
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Question # 29
The eccentricity of the conic 9x
2
- 16y
2
= 144 is
Choose an answer
4/5
5/4
4/3
3/4
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Question # 30
What is the conjugate of -6 -i
Choose an answer
-6 +i
6 + i
-6 -i
6 -i
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Question # 31
Choose an answer
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