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Online Tests
ECAT Mathematics Online Test MCQs With Answers
Question # 1
If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is
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1 x 1
1 x 10
10 x 10
10 x 1
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Question # 2
Domain of cot
θ
is
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Question # 3
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 # 4
In a quadratic equation with leading co-efficient 1, a student reads the co-obtain the roots as - 15 and -4. The correct roots are
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6, 10
-6, -10
8, 8
-8, -8
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Question # 5
if f(x) = x
3
-3x
2
+5x -1, then f(-√2)=
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7+7√2
3+3√2
-7-7√2
-3-3√2
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Question # 6
Range of cos
θ
is
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Question # 7
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5
10
20
30
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Question # 8
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Question # 9
The distance between the points A(3,1) and B(-2,-4) is
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5
25
10
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Question # 10
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Question # 11
The set { 1 , -1} is closed w.r.t.
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Addition
Multiplications
Subtraction
None of these
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Question # 12
If n is any positive integer then n! > 2
n-1
for
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Question # 13
If b
2
- 4ac = 0 then the roots of the equation are
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Real and distinct
Real and equal
Imaginary
None of these
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Question # 14
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100
99
0
none of these
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Question # 15
The sum of all positive integral multiple of 5 less than 100 is
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950
760
1230
875
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Question # 16
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Question # 17
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15/23
7/15
7/8
15/7
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Question # 18
A function of the form p(x)/Q(x) is called:
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Rational function
Logarithmic function
Exponential function
Hyperbolic function
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Question # 19
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Question # 20
3x + 4
>
0 is
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equation
inequality
identity
none of these
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Question # 21
Sum of first n terms of an arithmetic series is
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Question # 22
0! = ______
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0
1
2
Not defined
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Question # 23
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n!
0!
1
None of these
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Question # 24
sin 3a = ______;
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3sin a - 4sin3a
4sin a -3 sin3 a
3 cos3 a -cosa
4cos3 a - 3cos a
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Question # 25
The two different parts of the hyperbola are called its
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Vertices
Directrices
Nappes
Branches
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Question # 26
If the roots of ax
2
+ bx + c =0 are equal in magnitude but opposite in sign, then
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a = 0
b = 0
c = 0
None of these
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Question # 27
Group of none-singular matrices under multiplication is
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None-Abelian group
Semi group
Abelian group
None of these
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Question # 28
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Question # 29
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A
B
A'
None of these
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Question # 30
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I3
rI3
r
none
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Question # 31
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4
3
2
1
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