Question # 1

The multiplicative inverse of 1 is

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1

-1

0

Does not exist

∀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

The equation |x + 4| = x has solution

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x = -2

x = 2

x = -4

x = 4

The real number system contains.

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Positive Numbers

Negative numbers

Zero

(option a, b and c)

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A positive integer

A negative integer

A natural number

An irrational number

Associative law of multiplication

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ab = ba

a(bc) = (ab) c

a(b+c) = ab + ac

(a + b)c = ac + bc

Q∪ Q' =

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Q

Q'

N

R

What is the conjugate of -6 -i

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-6 +i

6 + i

-6 -i

6 -i

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

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

The negative square root of 9 can be written as:

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-√9

√9

√18

-√18

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A rational number

A irrational number

An even integer

A factor of 36

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The identity element with respect to subtraction is

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0

1

-1

Does not exist

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None of these

202.04 is an example of

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Recurring decimals

Non-recurring decimals

Terminating decimals

None of these

Every real number is

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a positive integer

a rational number

a negative integer

a complex number

a.a^-1= a^-1.a = 1 is a

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Commutative law of multiplication

Multiplication identity

Associative law of multiplication

Multiplication inverse

Some of two real numbers is also a real number , this property is called:

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Commutative property w.r.t addition

Closure property w.r.t. addition

Associative property w.r.t. addition

Distributive property w.r.t addition

∀ 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

√25 is a number

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Rational

Irrational

Natural

Odd

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The square root of 2i - 20i is

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±(5 - 2i)

±(5+ 2i)

(5 - 2i)

None of these

The multiplicative inverse of (a,b) is

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24 can be written as a product of

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Odd factors

Even factors

Whole factors

Prime factors

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0

1

-1

None of these

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