Question # 1

The equation |x + 4| = x has solution

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x = -2

x = 2

x = -4

x = 4

∀x,y∈R and x> 0 , y>0, if x > y

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None of these

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A prime number

An integer

A whole number

An irrational number

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

The set of rationals numbers between 0 and I is

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Finite

Null set

Infinite

None of these

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3/2 is

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An irrational number

Whole number

A positive integer

A rational number

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Symmetric property

Cancellation property w.r.t. multiplication

Reflexive property

Transitive property

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Commutative law of addition

Associative law of addition

Additive identity

Additive inverse

The additive inverse of 0 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)

The equation |x +4| = x has solution

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x = -2

x = 2

x = -4

x = 4

In (x +iy) y is called as

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Imaginary part

Complex number

Real part

None of above

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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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15

15 i

-15 i

-15

i¹⁰¹ =

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i

i²

-i

-1

The symbol of irrational is

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W

N

Q

Q'

Associative law of multiplication

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ab = ba

a(bc) = (ab) c

a(b+c) = ab + ac

(a + b)c = ac + bc

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1

3

2-i

-1

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The order axioms are satisfied by set of

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C

C and R

R

None of these

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A rational number

A irrational number

An even integer

A factor of 36

Which of the following sets has closure property w.r.t. addition

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{ 0 }

{ 1 }

{ 0, -1}

{ 1, -1}

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if Z1 = 1+i, Z2= 2+3i, then |Z2 -Z1| =

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√3 i

√7

-2-i

√5

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Additive property of inequality

Commutative property

Additive inverse

Additive identity

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

i³=

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-1

i

-i

1

√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

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A rational number

An irrational number

An odd number

A prime number

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