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ECAT Mathematics Chapter 1 Number System Online Test MCQs With Answers
Question # 1
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Question # 2
O is ______
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A positive integer
A negative integer
A natural number
An integer
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Question # 3
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Question # 4
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Question # 5
The polar form of complex number x ≠ I y =
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r cos θ+ r sin θ
r cos θ+ is sin θ
cos θ+ r sin θ
i cos θ+ i sin θ
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Question # 6
Name the property used in 4 + 9 = 9 + 4
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Associative property of addition
Commutative property of addition
Distributive property
Additive identity
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Question # 7
∀x, y ∈ R, either x = y or x > y or x < y is
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Transitive property
Reflexive property
Trichotomy property
None of these
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Question # 8
1/3 is a decimal
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Recurring
Terminating
Non-terminating
None of the above
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Question # 9
Every prime number is also
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Rational number
Even number
Irrational number
Multiple of two numbers
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Question # 10
√25 is a number
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Rational
Irrational
Natural
Odd
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Question # 11
Every real number is
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A complex number
A rational number
A natural number
A prime number
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Question # 12
A subset of set of complex number whose elements are of the form (a,0) is called
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Real number
Complex number
Rational number
Irrational number
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Question # 13
If in a set of real no a is multiplicative identity then
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a,a = a
2
a,a = 1
a,a = 0
None of these
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Question # 14
6 is
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A prime integar
An irrational number
A rational number
An odd integer
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Question # 15
The value of x and y when (x + iy)2 = 5 - 4i
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x = 2, y = -1
x = -2, y = 1
x = 2, y = -i
x = 2, y = 2
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Question # 16
If z
1
= (a,b), z
2
=(c,d), then z
1
z
2
= -------------------
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(ac,bd)
(ac+bd, ad-bc)
(ac-bd , ad+bc)
(ac-bd , ad-bc)
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Question # 17
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Question # 18
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Question # 19
The additive inverse of 0 is
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1
-1
0
Does not exist
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Question # 20
∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of
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Commutative law of addition
Associative law of addition
Additive identity
Additive inverse
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Question # 21
Every real number is
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a positive integer
a rational number
a negative integer
a complex number
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Question # 22
2.333....is a
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Irrational no
Complex no
Rational no
None of these
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Question # 23
(√3+√5)+√7 = √3 +(√5 +√7) property used in above is
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Commutative property of addition
Closure property of addition
Additive inverse
Associative property w.r.t to adition
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Question # 24
What is the conjugate of -7 -2i ?
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-7 + 2i
7 +2i
7 -2i
√53
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Question # 25
Rational number is a number which can be written as a terminating decimal fraction or a
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Non-terminating decimal fraction
Non-recurring
Recurring decimal fraction
a, b and c
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Question # 26
∀x,y∈R and x> 0 , y>0, if x > y
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None of these
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Question # 27
If z
1
=√-36 ,z
2
=√-25,z3 =√-16 then
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15
15i
-15i
-15
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Question # 28
(a,b) +(-a,-b) =
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(0,0)
(a,b)
(-a,-b)
(1,1)
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Question # 29
∀a,b, c ε R,a +c = b + c = > a = b
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Reflexive property
Symmetric property
Cancellations property w.r.t. addition
Transitive property
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Question # 30
a.a
-1
= a
-1
.a = 1 is a
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Commutative law of multiplication
Multiplicative identity
Associative law of multiplication
Multiplicative inverse
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Question # 31
I is not
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Real number
Natural number
Prime Number
Whole Number
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