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ECAT Mathematics Chapter 1 Number System Online Test MCQs With Answers
Question # 1
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Associative property of addition
Associative property of multiplication
Commutative property of addition
Commutative property of multiplication
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Question # 2
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Question # 3
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 # 4
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 # 5
Every irrational number is
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A real number
A prime number
A natural number
An integer
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Question # 6
i
9
=
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i
2
-1
1
i
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Question # 7
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Question # 8
∀ 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 # 9
i
101
=
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i
i
2
-i
-1
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Question # 10
If 4 > b or a < b than a = b is a
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Additive property
Transitive property
Trichotomy property of inequality
None of above
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Question # 11
If a set S contains n elements then P (S) has ........ number of elements
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2
n
2
n2
2.n
n
2
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Question # 12
The conjugate of √5
i
is
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√5
-√5 i
i
5i
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Question # 13
Geometrically the modulus of a complex number represents its distance from the
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Point (1,0)
Point (0,1)
Point (1,1)
Point (0,0)
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Question # 14
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(a + b)c = a . c + bc
a + b = b + a
(a + b) + c = a + (b + c)
a(b+ c) = ab + ac
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Question # 15
It is not possible to find the exact value of
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π
√9
∛27
√1
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Question # 16
The√ is used for the
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Positive square root
Negative square root
+ve and -ve square root
Whole number
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Question # 17
If Z = (1,2), then Z
-1
= ?
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(0.2, 0.4)
(-0.2, 0.4)
(0.2, -0.4)
(-0.2, -0.4)
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Question # 18
i
3
=
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-1
i
-i
1
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Question # 19
In R the right cancellation property w.r.t. addition is
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Question # 20
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are real no
both are not real
are imaginary no
both are imaginary
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Question # 21
What is the conjugate of -7 -2i ?
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-7 + 2i
7 +2i
7 -2i
√53
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Question # 22
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Question # 23
(a
-1
)
-1
=
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a
-1
a
-a
None of above
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Question # 24
In R, the additive identity is
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0
1
-1
None
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Question # 25
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 # 26
∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is
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Trichotomy property
Transitive property
Symmetric property
Additive property
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Question # 27
The multiplicative inverse ofx^(-1) is
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x
a-2
0
1
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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
i
is equal
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(1 , 0)
(0 , 1)
(1 , 1)
(0 , 0)
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Question # 30
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Commutative law of addition
Associative law of addition
Additive identity
Additive inverse
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