Set Test

Result

Set Test - 3

Score
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Weekly Quiz Competition

Question 1
1 / -0

A Finite set is also known as_____.

A
Countable set

B
Uncountable set

C
Universal set

D
Equal set

E
None of these

Solution

Finite sets are sets having a finite/countable number of members. Finite sets are also known as countable sets as they can be counted. The process will run out of elements to list if the elements of this set have a finite number of members.
Example of finite sets:
A set of months in a year.
M = {January, February, March, April, May, June, July, August, September, October, November, December}
n (M) = 12
It is a finite set because the number of elements is countable.
Hence, the correct option is (A).
Question 2
1 / -0

If set A represents all the cricket players of India and set B represents the cricket players who belong to the state of Maharashtra, then A B indicates

A
all the cricket players of India

B
all the cricket players who belong to the state of Maharashtra

C
an empty set

D
all the cricket players other than the ones who belong to the state of Maharashtra

E
None of these
Question 3
1 / -0

If M = {2, 4, 6, 8} and N = {1, 2, 3, 4}, then M - N is equal to

A
{6, 8}

B
{2, 4}

C
{3, 4}

D
{1, 3}

E
None of these
Question 4
1 / -0

If X = {2, 3, 7} and Y = {1, 2, 3, 4, 6}, what will be the value of X Y?

A

B
{2, 3}

C
{1, 2, 3, 4, 6}

D
{1, 2, 3, 4, 6, 7}

E
None of these
Question 5
1 / -0

What is the value of (A B)'?

A
A' B'

B
A' B

C
A' B'

D
A B'

E
None of these
Question 6
1 / -0

What does the shaded region represent in the following Venn diagram?

A
(A B)^C

B
A - B

C
B - A

D
A B

E
None of these
Question 7
1 / -0

If E = {1, 2, 3 } and F = {4, 3, 2, 1}, what will be the value of E F?

A
E only

B
F only

C
E F only

D
E, F and E F

E
None of these
Question 8
1 / -0

What is the value of A ?

A
A

B

C
A`

D

E
None of these
Question 9
1 / -0

What is the value of A - ?

A
A

B

C
A`

D

E
None of these
Question 10
1 / -0

The objects of a set are

A
identical

B
not well-defined

C
distinct

D
infinite

E
none of these
Question 11
1 / -0

Which of the following represents the shaded region in the adjacent Venn diagram?

A
A B

B
A^C B^C

C
(A B) - (A B)

D
A - (A B)

E
None of these
Question 12
1 / -0

If X = {a, 2, 6, c, d, e} and Y = {a, d, e}, then which of the following defines set Y as related to X.

A
An improper subset of X

B
A proper subset of X

C
A super set of X

D
Universal set of X

E
None of these
Question 13
1 / -0

By De-Morgan`s law, what does (A B)^C equal to?

A
(A B)^C

B
A^C B^C

C
A^C B^C

D
A^C B

E
None of these
Question 14
1 / -0

If every element of set A is an element of set B, which of the following is correct?

A
A B

B
A B

C
B A

D
A B

E
None of these
Question 15
1 / -0

If U = {red, orange, yellow, green, blue, indigo, violet} and S = {red, yellow, blue}, then U - S is equal to:

A
{red, yellow, blue}

B
{red, orange, yellow, green, blue, indigo, violet}

C
{orange, green, indigo, violet}

D
{red, orange, yellow, blue}

E
None of these

Solution

If U = {red, orange, yellow, green, blue, indigo, violet}
And S = {red, yellow, blue}
Then U - S ={orange, green, indigo, violet}
Hence, the correct option is (C).