Question # 1

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rational number

irrational number

natural number

whole number

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0

i

-i

1

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closureproperty

associativeproperty

commutativeproperty

trichotomyproperty

Rational numbers are:

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repeating decimals

terminatingdecimals

periodicdecimals

all of these

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additive property

multiplicative inverseproperty

transitive property

negative property

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Which of the following is correct:

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2 + 7i > 10 + i

1 + i > 1 - i

4 + 3i > 1 + 3i

none of these

If z = x + i y = r (cos Θ + i sin Θ), then arg z is:

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tan Θ

cos²Θ + sin²Θ

r

Θ

Irrational numbers are:

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terminating decimals

non-terminating decimals

non-terminating, repeating decimals

non-terminating, non repeating

Division of a natural number by another natural number gives:

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always a natural number

always an integer

always a rationalnumber

always an irrational number

Multiplicative inverse of -i is:

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i

-i

1

-1

Modulus of 15 i + 20 is:

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20

15

25

none of the above

If z₁ = 4i and z₂ = 3 - 9i, then z₁ + z₂ =

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3 - 5i

3i - 5

7 - 9i

3 + 5i

The imaginary part of the complex number a + bi is:

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a

b

bi

none of these

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integer

rationalnumber

irrationalnumber

naturalnumber

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Additive property

Multiplicativeproperty

Reflexiveproperty

Transitive property

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cancellation property w.r.t multiplication

cancellationproperty w.r.t addition

multiplicativeproperty

additiveproperty

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archimedean property

transitive property

multiplicative property

Factors of x² + y² are:

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(x + iy) (x - iy)

(x + y) (x - y)

(x + y) (x + y)

none

The set of negative integers is closed with respect to:

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addition

multiplication

both (a) and (b)

subtraction

The set of all rational numbers between 2, 3 is:

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an empty set

an infinite set

a finite set

a power set

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