Question # 1

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∀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

(√3+√5)+√7 = √3 +(√5 +√7) property used in above is

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Commutative property of addition

Closure property of addition

Additive inverse

Associative property w.r.t to adition

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Commutative law of multiplication

Closure law of multiplication

Associative law of multiplication

Multiplication identity

Every natural number is

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A prime number

An irrational number

An integer

An even number

√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

∀x,y,z ∈ R and z 0,then

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x > y ⇒ xz > yz

x<y ⇒ xz < yz

x < y ⇒ xz > yz

None of these

The solution set of the equation |3x + 2| = 5 is

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The additive inverse of 1 is

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1

-1

0

Does not exist

What is the conjugate of -7 -2i?

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-7 + 2i

7 + 2i

7 -2i

None of these

Every real number is

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A complex number

A rational number

A natural number

A prime number

In R, the additive identity is

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0

1

-1

None

In R, the multiplicative identity is

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0

1

-1

None

The equation |x +4| = x has solution

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x = -2

x = 2

x = -4

x = 4

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Additive inverse of - a - b is

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a

-a + b

a - b

a + b

What is the conjugate of -6 -i

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-6 +i

6 + i

-6 -i

6 -i

The multiplicative inverse of 1 is

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1

-1

0

Does not exist

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

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(0,ac)

(ac,0)

(0,0)

(a,c)

(a-1)-1 =

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a-1

a

-a

None of above

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Closure law of addition

Associative law of addition

Commutative law of multiplication

Associative law of multiplication

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-8

8

8i

32

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

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a,a = a²

a,a = 1

a,a = 0

None of these

Any whole number can be written as a product of factors which are

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Even number

Odd numbers

Prime number

Rational number

6 is

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A prime integar

An irrational number

A rational number

An odd integer

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Symmetric property

Cancellation property w.r.t. multiplication

Reflexive property

Transitive property

√11 is

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an irrational number

Rational number

odd number

Negative number

The multiplicative inverse of 4 is

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-4

-1/4

1/4

1

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If a is any real number and a = a is called

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symmetric property

Trichotomy Properties

Transitive Property

Reflexive Properties

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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ECAT Mathematics Chapter 1 Number System Online Test MCQs With Answers

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