Sets Test

Result

Sets Test - 7

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Weekly Quiz Competition

Question 1
1 / -0

If A and B are two sets, then A∩(A∪B)′ is equal to

A
∅

B
B

C
A

D
none of these

Solution

A∩(A∪B)′=ϕ
since (A∪B)′ Set represent the element which are not belongs to it,so there is no common element with the set A.So the answer is null set
Question 2
1 / -0

Two sets A and B are said to be disjoint iff

A
A – B = A

B
A ∪B = ϕ

C
A ∩B ≠ϕ

D
A∩B=∅

Solution

Two sets are called disjoint if and only if these two set have no common element i.e A∩B=∅
Question 3
1 / -0

Which of the following is a set of even numbers greater than 1 but less than 10?

A
{2, 4, 6}

B
{2, 4, 6, 8, 10}

C
{2, 4, 6, 8}

D
None of these
Question 4
1 / -0

Let A = { 1,2,3,4} , B = { 2,3,4,5,6 } , then (A∩B)is equal to :

A
{ 1 }

B
{ 1,2,3 }

C
{ 5,6 }

D
{ 2,3,4 }

Solution

HereA={1,2,3,4} and B={2,3,4,5,6}
A∩B={1,2,3,4}∩{2,3,4,5,6}
={2,3,4}
Question 5
1 / -0

Which of the following sets does not contain any element?

A
Set of all human beings that have put a step on the surface of the moon.

B
Set of all human beings who have travelled from New Delhi to New York.

C
Set of all those human beings that can live as long as they wish to.

D
Set of all the cricketers who have scored a duck in their first innings.
Question 6
1 / -0

Which of the following sets does not contain any element?

A
A set of all those rational numbers whose square is 4

B
A set of all the natural numbers which add up to zero

C
A set of all those rational numbers whose square is zero

D
A set of all those real numbers whose square is 17
Question 7
1 / -0

If A is any set , then

A
A∪A′=ϕ

B
A∩A′=U

C
A∪A′=U

D
A∩A′=A

Solution

A∪ A′={x∈U : x∈A}∪ {x∈U : x∉A}=U
Question 8
1 / -0

Which of the following operations is not a valid operation in set theory?

A
Union of two sets

B
Intersection of two sets

C
Difference of two sets

D
Multiplication of two sets
Question 9
1 / -0

Which of the following statements defines a set in the most appropriate way?

A
It is a method to set an equation and its variables in such a way that they can be solved in an appropriate manner.

B
As the word 'set' is derived from the word 'setting', it is a method to collect distinct objects that are well-defined.

C
It simply means a distinct collection of objects.

D
It is nothing but an assembly or a collection of distinct elements which can be well-defined.
Question 10
1 / -0

If set A = {16, 4, 121, – 9} and we denote each element of set a as 'n', then which of the following sets represents the elements of the type 'n^1/2'_?

A
{4, 2, 11, 3}

B
{4, 2, 11}

C
(4, 2, 11, 3)

D
None of these
Question 11
1 / -0

If set A = {1, 6, 8, 9, 12} and set B = {3, 6, 9, 12}, then A B equals

A
{3, 6, 9, 12}

B
{6, 9, 12, 6, 9, 12}

C
{6, 9, 12}

D
{1, 6, 8, 9, 12}
Question 12
1 / -0

If set A = {– 3, 2, 3, 7} and we denote each element of set A as 'n', then which of the following sets represents the elements of the type 'n²'?

A
{– 9, 4, 49, 9}

B
{4, 9, 49}

C
(4, - 9, 49)

D
{9, 4, 9, 49}
Question 13
1 / -0

Two sets are equal when they have

A
the same number of members

B
the same members

C
members of the same nature

D
None of these
Question 14
1 / -0

What do you mean by the union of sets A and B?

A
It is the collection of all those objects which are in set A, but not in set B.

B
It is the set which contains all the elements which are in set B, but not in set A.

C
It is the set which consists of all the elements which belong to set A as well as set B.

D
It is the set which contains all the elements of sets A and B being taken only once.

Question 15

1 / -0

Match the following:

p. Natural numbers (N)	a. {1, 2, 3, …}
q. Whole numbers (W)	b. Integers – negative integers
r. Rational numbers (Q)	c. N W Integers Q I
s. Real numbers (R)	d. W integers fractions

p - b, q - a, r - d, s - c

p - b, q - a, r - c, s - d

p - a, q - b, r - d, s - c

none of these

Question 16
1 / -0

In a group of 50 persons, everyone takes either tea or coffee. If 35 take tea and 25 take coffee, then the number of persons who take both tea and coffee is

A
10

B
25

C
35

D
60
Question 17
1 / -0

If set A = {1, 6, 8, 9} and set B = {3, 6, 9, 12}, then A – B equals

A
(1, 9)

B
{– 2, 0, –1, – 3}

C
{2, 0, 1, 3}

D
{1, 8}
Question 18
1 / -0

Consider a set A = { 3, 15, 4, 7 }. If we denote each element of set A as 'n', then which of the following sets represents the elements of the type '2n + 1'?

A
{7, 61, 9, 15}

B
{7, 31, 9, 15}

C
(7, 61, 9, 15)

D
{7, 31, 15, 29}
Question 19
1 / -0

If set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and set A = set of all the even numbers in set U, then which of the following diagrams is correct?

A

B

C

D
None of these
Question 20
1 / -0

Let U = { 1,2,3,4,5,6,7,8,9,10 } , A = { 1,2,5 } , B = { 6,7 }. Then A∩B′ is

A
A’

B
B

C
B’

D
A

Solution

GivenU={1,2,3,4,5,6,7,8,9,10},A
={1,2,5},B={6,7}B′
={1,2,3,4,5,8,9,10}
A∩B′={1,2,5}=A
Question 21
1 / -0

Which of the following diagrams correctly represents union of two sets A and B?

A

B

C

D
None of these
Question 22
1 / -0

The set of all odd integers

A
can be counted as they are finite in number

B
can be counted as there is an even number greater than a given odd number

C
can be counted as they have only finite number of factors

D
None of these
Question 23
1 / -0

What information can we get from the number of elements present in union of two sets A and B?

A
It gives us information about the number of elements in set A as well as the number of elements in set B.

B
It gives us information only about the total of number of elements present in set A and the number of elements present in set B.

C
It gives us information about the number of elements in set A plus the number of elements present in set B plus the number of elements present in A as well as B.

D
None of these
Question 24
1 / -0

If set A = {a, c, v} and set B = {b, c, k}, then A B equals ____________.

A
(a, c, v, b, k)

B
{a, c, v, b, c, k}

C
{a, c, v, b, k}

D
{c}
Question 25
1 / -0

Which of the following diagrams correctly represents intersection of two sets A and B?

A

B

C

D
None of these