Question # 1

The set {1, -1, i, -i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

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Conclusion

Implication

Antecedent

Hypothesis

What is the number of elements of the power set of { }

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0

1

2

3

The multiplicative inverse of -1 in the set {1-, 1} is

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1

-1

0

Does not exist

The set of all positive even integers is

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Not a group

A group w.r.t. subtraction

A group w.r.t. division

A group w.r.t. multiplication

Every subset of a finite set is

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Disjoint

Null

Finite

Infinite

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The function whose range consists of just one element is called

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One-One Function

Identity Function

Onto Function

Constant Function

The set {-1,1} is

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Group under the multiplication

Group under addition

Does not form a group

Contains no identity element

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A

A'

U

None of these

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none of these

The set of rational numbers is subset of

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The set of natural numbers

The set of real numbers

The set of integers

The set of whole numbers

What is the number of elements of the power set of {0, 1}

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1

2

3

4

Power set of X i.e P(X)..........under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

Which of the following is the subset of all sets?

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If S = {3,6,9,12.......}, then

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S = Four multiples of 3

S = Set of even numbers

S = Set of prime numbers

S = All multiples of 3

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

A function in which the second elements of the order pairs are distinct is called

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Onto function

One-one function

Identity function

Inverse function

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None of these

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Natural numbers

Whole numbers

Integers

Rational numbers

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An empty set

Universal set

A singleton set

None of these

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Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

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none of these

Multiplicative inverse of 0 is

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0

1

+-1

Does not exist

The complement of set A relative to universal set U is the set

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{x / x∈ A∧ x∈ U}

{x / x∉ A∧ x ∈ U}

{x / x∈ A and x ∉ U}

A-U

if A = (x/x€ Q˄ 0 < x < 1}, the A is

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Infinite set

Finite set

Set of rational numbers

Set of real numbers

If the intersection of two sets is non-empty, but either is a subset of other are called

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Disjoint sets

Over lapping

Equal sets

None of these

If A∩B=B, then n(A∩B) is equal to

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n(a)

n(a)+n(c)

n(c)

None of these

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A = B

B = C

A = C

None of these

If a set S contains "n" elements then P (S) has ...... number of elements

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2ⁿ

2²ⁿ

2 . n

n²

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