Question # 1

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1

-i

i

0

√2 is a number

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Rational

Irrational

Even

Odd

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1

-1

In set builder notation the set {0,1,2,........100} can be written as

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{x / xε B ∧ x ≤ 100}

{x / x ∈ W ∧ x < 101}

{x / x ∈ Z ∧ x < 101}

The set of first 100 whole numbers

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Set of whole number

Rational Numbers

Complex numbers

Whole numbers

√2 +√3 +√5) = (√2 +√3 +√5: this property is called

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associative property w.r.t addition

commutative property

Closure property w.r.t addition

Additive identity

Such fraction which can not be written in the form ofp⁄q where p,q and q≠ 0,such fractions are called.

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Fractinal numbers

Rational Numbers

Even Numbers

Whole Numbers

In R the number of identity elements w.r.t.'.' is

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One

Two

Three

Four

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Principle of equality of fractions

Rule for product of fractions

Golden rule for fractions

Rule for quotient of fractions

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Additive property in R

Multiplication property in R

Cancellation property in R

Distribution property in R

For any real numbers x,y,xy=o ⇒

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x ≠ 0 ∧ y ≠ 0

x = 0 ∨ y = 0

x = 0

y = 0

√25 is a number

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Rational

Irrational

Natural

Odd

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Trichotomy property

Additive property of inequality

Transitive property

Multiplicative property

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Principle of equality of Fractions

Rule for product of fraction

Golden rule of fraction

Rule of quotient of Fraction

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A natural number

A rational number

An irrational number

A whole number

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A rational number

A natural number

An irrational number

An integer

Any recurring decimal represents a

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Irrational no

Integer

Rational no

None of these

i =

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-8

8

8i

32

What is the conjugate of -7 -2i ?

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-7 + 2i

7 +2i

7 -2i

√53

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

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

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- x

Infinite set

Φ

{-4,4}

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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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None of these

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∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

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Symmetric property

Cancellation property w.r.t multiplication

Reflexive property

Transitive property

Additive inverse of - a - b is

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a

-a + b

a - b

a + b

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The additive inverse of 0 is

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1

-1

0

Does not exist

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