Question # 1

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If A⊆ B, and B is a finite set, then

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n (a) < n(B)

n(B)<(A)

n(A)≤ n (B)

n(A)≥ n(B)

If a 1-1 correspondence can be established b/w two sets A and B, then they are called

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Equal sets

Equivalent sets

Over lapping sets

None of these

If A and B are two sets then any subset R of A x B is called

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relation on A

relation on B

relation from A to B

relation from B to A

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1

12

5

29

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Conclusion

Implication

Antecedent

Hypothesis

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

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

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

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The identity element of a set X with respect to intersection in P(x) is

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X

Does not exist

∅

None of these

Identity w.r.t intersection in a power set of any set is

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∅

Set itself

Singleton set

{0}

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An empty set

Universal set

A singleton set

None of these

The set {Z\{0}} is group w.r.t

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Addition

Multiplication

Division

Subtraction

The statement that a group can have more than one identity elements is

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True

False

Ambiguous

Some times true

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If A=B, then

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A⊂B and B⊂A

A⊆B and B⊈A

A⊆B and B⊆A

None of these

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none of these

The extraction of cube root of a given number is a

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Unary Operation

Binary Operation

Relation

None of these

If T = {2,4,6,8,10,12}, then

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T = (First six natural numbers)

T = (First six odd numbers)

T = (First six real numbers)

T = ( First six even numbers)

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a-b=ab

ab=a

a+b=ab

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None of these

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A onto B

both a & c

A into B

none of these

A - B = ______

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A

A'

U

U'

The graph of a quadratic function is

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Circle

Straight line

Parabola

Triangle

If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of

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Irrational numbers

Even numbers

Rational numbers

Whole numbers

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Addition

Multiplication

Division

Both addition and multiplication

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

A function whose range is just one element is called

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One-one function

Constant function

Onto function

Identity function

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Other Links

ECAT Mathematics Chapter 2 Set Function and Groups Online Test MCQs With Answers

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