Question # 1

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)

Union of the sets of rational and irrational numbers is called 6th set of

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Natural numbers

Real numbers

Whole numbers

Prime numbers

The set { 1 , -1} is closed w.r.t.

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Addition

Multiplications

Subtraction

None of these

The set of rational number is represented by

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W

R

Q'

Q

If a and b are real numbers then a+b is also real number this law is called

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associative law of addition

closure law of addition

Distributive law of addition

Commutative law of addition

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Commutative law of multiplication

Closure law of multiplication

Associative law of multiplication

Multiplication identity

(a,0) x (c, 0) =

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(0,ac)

(ac, 0)

(0,0)

(a, c)

√(-1b) =?

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b i

-i b

b2

i√b

Q∪ Q' =

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Q

Q'

N

R

Name the property used in a (b-c) = ab - ac

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commutative property of multiplication

distributive property of multiplication

associative property of multiplication

multiplicative inverse

O is ______

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A positive integer

A negative integer

A natural number

An integer

QUQ'

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A complex number

A rational number

A natural number

An irrational number

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additive property

multiplicative property

additive identity

multiplicative identity

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

∀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

The multiplicative inverse of -3i is

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3i

-3i

-1/3i

1/3 i

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-8

8

8i

32

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The set {1,2,3,4......} is called

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Set of natural numbers

Set of whole numbers

Set of rational number

Set of irrational numbers

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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If a set S contains n elements then P (S) has ........ number of elements

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2ⁿ

2ⁿ²

2.n

n²

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Associate law of addition

Commutative law of addition

Additive identity

Closure law of addition

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(a + b)c = ac + bc

a + b = b + a

(a + b) + c = a + (b + c)

a(b +c) = ab + ac

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N

r

2r

π

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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Associative property of addition

Associative property of multiplication

Commutative property of addition

Commutative property of multiplication

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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A rational number

A irrational number

An even integer

A factor of 36

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Mathematics ECAT Pre Engineering Chapter 1 Number System Online Test MCQs With Answers

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