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ECAT Mathematics Chapter 1 Number System Online Test MCQs With Answers
Question # 1
If Z
1
= 1 + i, Z
2
= 2+3i, then |Z
2
- Z
1
| = ?
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Question # 2
In R the left cancellation property w.r.t addition is
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Question # 3
∀a,b ε R, ab = be is a
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Commutative law of multiplication
Closure law of multiplication
Associative law of multiplication
Multiplicative identity
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Question # 4
4/√49 is a
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Irrational Number
Prime Number
Rational number
Whole number
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Question # 5
π is ______
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A complex number
A rational number
A natural number
An irrational number
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Question # 6
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 # 7
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 # 8
∀a,b,c∈R and c>0,then
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a>b ⇒ ac < bc
a>b ⇒ ac > bc
a<b ⇒ ac > bc
None of these
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Question # 9
If 0 = R, thenthe additive inverse of a is
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1/9
1/-9
a
-a
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Question # 10
(a +b
i
) -c (c +d
i
) =
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(a +b) = (c +d)
(a +c) + i(b +d)
(a -c) + (c -d)
i
(a -c) +(b -d)
i
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Question # 11
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Commutative law of addition
Associative law of addition
Additive identity
Additive inverse
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Question # 12
The square root of every incomplete square is an
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Rational numbers
Even numbers
odd numbers
Irrational numbers
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Question # 13
The equation |x +4| = x has solution
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x = -2
x = 2
x = -4
x = 4
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Question # 14
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15
15 i
-15 i
-15
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Question # 15
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0
1
-1
2
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Question # 16
i
3
=
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-1
i
-i
1
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Question # 17
The value of i
4n+1
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1
-1
i
i
2
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Question # 18
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 = -1
X = 2, y = 2
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Question # 19
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additive property
multiplicative property
additive identity
multiplicative identity
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Question # 20
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None of these
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Question # 21
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Reflexive property
Symmetric property
Cancellations property w.r.t. addition
Transitive property
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Question # 22
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Closure law of addition
Associative law of addition
Commutative law of multiplication
Associative law of multiplication
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Question # 23
Additive inverse of - a - b is
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a
-a + b
a - b
a + b
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Question # 24
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 # 25
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are real no
both are not real
are imaginary no
both are imaginary
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Question # 26
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Associative law of addition
Commutative law of addition
Additive identity
Closure law of addition
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Question # 27
The conjugate of √5
i
is
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√5
-√5 i
i
5i
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Question # 28
i
101
=
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i
i
2
-i
-1
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Question # 29
The square root of 2i - 20i is
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+-(5 - 2i)
+-(5 + 2i)
(5 - 2i)
None of these
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Question # 30
If P is a whole number greater than 1, which has only P and I are factors. Then P is called
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Wholw number
Prime number
Even number
Odd number
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Question # 31
√25 is a number
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Rational
Irrational
Natural
Odd
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