Question # 1

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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

In R, the multiplicative inverse of a is

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0

1

-a

1/a

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Rational

Irrational

Natural

Odd

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

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36 + (-32)i

-36 + 32i

6 + (-11)1

0, +(-12)i

Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

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Associative property of addition

Associative property of multiplication

Additive identity

Multiplicative identity

Every prime number is also

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Rational number

Even number

Irrational number

Multiple of two numbers

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

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(0,ac)

(ac, 0)

(0,0)

(a, c)

The square root of 2i - 20i is

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+-(5 - 2i)

+-(5 + 2i)

(5 - 2i)

None of these

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Multiplication property

Additive property

Trichotomy property

Transitive property of inequality

The identity element with respect to subtraction is

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0

1

-1

Does not exist

If in a set of real no a is additive identity then

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a+a = 2a

a+a = 1

a+a = 0

None of these

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What is the conjugate of -6 -i?

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-6 +i

6+i

-6 -i

6 -i

If a > b or a < b than a = b is a

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Additive property

Transitive property

Trichotomy property of inequality

6 is

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A prime integar

An irrational number

A rational number

An odd integer

6 is

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A prime integer

An irrational number

A rational number

An odd integer

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

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(0,ac)

(ac,0)

(0,0)

(a,c)

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Rule of quotient of fraction

Golden rule of fraction

Rule for product of fraction

Principle for equality of fraction

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

0 (zero) is

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An irrational number

A rational number

A negative integer

A positive number

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

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One

Two

Three

Four

a >b, b >c ⇒a >c is a

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Multiplicative property

Additive property

Trichotomy property

Transitive property of inequality

0.25 is ______

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An irrational number

A natural number

A prime number

A rational number

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x

y

The sum of complex number (a,b) and (c,d) is

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The real number system contains.

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Positive Numbers

Negative numbers

Zero

(option a, b and c)

There is no element common in

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N and W

E and W

N and O

Q and Q'

Total number of subsets that can be formed out of the set {a,b,c} is

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1

4

8

12

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