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ECAT Mathematics Online Test MCQs With Answers
Question # 1
If p and q are two statements then their conjunction is denoted by
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Question # 2
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Question # 3
How many types of an equation
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1
3
2
None
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Question # 4
Two balanced dice are tossed once, the sample space when the integers on the faces of two dice are the same is
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{(1, 1), (2, 2), (3, 3)}
{(4, 4), (5, 5), (6, 6)}
{(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)}
None of these
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Question # 5
For any set B,B∪B' is
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Is set B
Set B'
Universal set
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Question # 6
If (2,0) is the vertex and y-axis is directrix of parabola then focus is
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(2,0)
(-2,0)
(4,0)
(-4,0)
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Question # 7
If distance of (a,b) from y-axis is 2 then
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a = 2
b = 2
a = b
a = 4
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Question # 8
The distance of the point (-2,3) from x-axis is
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-2
2
3
1
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Question # 9
The magnitude of a vector can never be
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Zero
Negative
Positive
None of these
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Question # 10
An expression involving any of the symbols <,>,
<
or
>
is called
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equation
inequality
linear equation
identity
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Question # 11
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Question # 12
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Question # 13
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Question # 14
sin(π+θ)=_______;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 15
If A and B are two sets then intersection of A and B is denoted by
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Question # 16
If ab > 0 and a < 0, which of the following is negative?
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b
-b
-a
(a - b)
2
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Question # 17
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Question # 18
The product of complex numbers (a,b) and (c,d) is
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(ac, bd)
(ac-bd, ad+bc)
(ab,cd)
(ac+bd,ad-bc)
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Question # 19
The key for opening a door is in a bunch of 10 keys. A man attempts to open the door by trying the keys at random discarding the wrong key. The probability that the door is opened in the 5th trial is
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1 / 10
2 / 10
3 / 10
4 / 10
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Question # 20
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all are correct
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Question # 21
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Question # 22
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 # 23
The solution of differential equation:
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dy/dx+y/x = x
2
is :
4xy = x
4
+ c
4x = x
4
= c
4 y = x
4
+ c
4x=4x
3
+ c
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Question # 24
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Principle of equality of fractions
Rule for product of fraction
Rule for quotient of fraction
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Question # 25
1/2,1/3,1/4,1/5.........is
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a geometric sec
an arithmetric series
finite sequence
an infinite sequece
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Question # 26
The square matrix A is skew-symmetric when At =
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-B
-C
-A
-D
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Question # 27
A sequence is a function whose domain is
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N
Subset of N
R
None of these
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Question # 28
If for the matrix A, A
5
= I, then A
-1
=
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A
2
A
3
A
None of above
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Question # 29
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Question # 30
If the terminal rays of an angle falls on any axis then the angle is called
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Allied angle
Acute angle
Standard position
Quadrantal angle
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Question # 31
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Zero matrix
Diagonal matrix
Column matrix
Scalar matrix
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