Question # 1

{1, 2, 3, 4,.....} is set of ______

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Natural numbers

Whole numbers

Integers

Rational numbers

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

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Addition

Multiplication

Division

Subtraction

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

The contra positive of p → q is

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q → p

~q→~q

~p→~q

None of these

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Addition

Multiplication

Division

Both addition and multiplication

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none of these

The number of subset of {0} is

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1

2

3

None

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

{x|x∈R∧x≠x} is a

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Infinite set

Null set

Finite set

None of these

The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

If 0 = {1,3,5.......}, then n (0) =

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99

odd integers

Even numbers

Infinite

Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

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-a

a + 1

-2 -a

None of these

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1

12

5

29

Two sets A and B are said to be disjoint if

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

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1

-1

±1

0

Does not exist

Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then

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A = B

B = C

A≠ C

A ≠ B

The set of complex numbers forms

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Commutative group w.r.t addition

Commutative group w.r.t multiplication

Commutative group w.r.t division

Non commutative group w.r.t addition

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A

A'

U

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Conclusion

Implication

Antecedent

Hypothesis

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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G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are

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2, 2, 2

3, 3, 3

2, 2, 4

2, 3, 4

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

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relation on A

relation on B

relation from A to B

relation from B to A

The set {-1, 1} is closed under the binary operation of

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Addition

Multiplication

Subtraction

Division

The function {f(x,y)|y = ax2 +bx +c} is

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One-one function

Constant function

Onto function

Quadratic function

For any set B, BUB' is

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Is set B

Set B'

Universal set

None of these

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

Multiplicative inverse of "1" is

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+- 1

0

1

None of these

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

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