Free Printable SETS | NCERT | CLASS XI

1.

If U = {2,3,5,7,11,13} and C = {2,3,5}, find C'

a)

{7,11,13}

b)

{7,9,11,13}

c)

{2,3,5}

d)

U

2.

Which of the following represents the shaded region?

a)

A union B

b)

A intersect B

c)

A ⊂ B

d)

B ⊂ A

3.

If every element in set A is also in set B, then...

a)

A is a subset of B

b)

B is a subset of A

c)

A = B

d)

A and B are disjoint

4.

Set D is the set of the distinct letters in the word mathematics. Write the set using the Roster method.

a)

D = {m, a, t, h, e, m, a, t, i, c, s}

b)

D = {m, a, t, h}

c)

D = {m, a, t, h, e, i, c, s}

d)

D = {m, a, t, h, i, c, s}

5.

Which of the following is the symbol for null set?

a)

∅

b)

$\subset$

c)

$\in$

d)

$\not\subset$

6.

Which of the following means proper subset?

a)

$\subset$

b)

$\subseteq$

c)

$\in$

d)

=

7.

How many senior boys play football but do not wrestle?

a)

9

b)

12

c)

18

d)

104

8.

Out of 800 boys in a school, 224 played cricket, 240 played hockey and 336 played basketball. Of the total, 64 played both basketball and hockey; 80 played cricket and basketball and 40 played cricket and hockey; 24 played all the three games. The number of boys who did not play any game is.

a)

160

b)

240

c)

128

d)

216

9.

A set has n elements, then the, number of elements in its power set is ?

a)

2n

b)

2n - 1

c)

n

d)

$2^n$

10.

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

a)

$A\cup B$

b)

$A\cap B$

c)

A

d)

B

11.

If A is any set, then

a)

$A\cup A^c=\phi$

b)

$A\cap A^c=U$

c)

$A-A^c=\phi$

d)

None of the above

12.

A - B is equal to

a)

$A\cap B^c$

b)

$\left(A-B\right)U\left(B-A\right)$

c)

$A^{c\ }\cap B$

d)

None of the above

13.

Which one of the following is not the De Morgan's law?

a)

$A=A\cup\left(A-B\right)$

b)

$\left(A\cup B\right)^c=A^c\cap B^c$

c)

$\left(A\cap B\right)^c=A^c\cup B^c$

d)

None of these

14.

$If\ A=\left\{3,\ 5,\ 7\right\}\ and\ B=\left\{7,\ 9,\ 11\right\}\ then\ A\cap B^c\ is$

a)

$\phi$

b)

{3, 5}

c)

{7}

d)

{9, 11}

15.

Which of the following statements are true for the Venn diagram shown?

a)

A ∩ B = ⊘

b)

A ⋃ B = ⊘

c)

A ⋃ B = A

d)

A ⋂ B = A

16.

Given that set V = { M, A, N, G, O},

find the number of subsets V.

a)

32

b)

25

c)

10

d)

5

17.

Given that R = { factors of 36 }.

Then n(R) =

a)

8

b)

9

c)

12

d)

15

18.

$A=\left\{x:x^2\ -3=0\ and\ xis\ an\ rational\ number\right\}$

a)

A is an empty set

b)

A is an infinite set.

c)

A is finite set.

d)

A is singleton set

19.

Power set of empty set has exactly _ subset.

a)

one

b)

two

c)

zero

d)

three

20.

Which of the following represents the shaded region?

a)

(A ⋃ B)'

b)

(A ∩ B)'

c)

A'

d)

B'

21.

What statement does the shaded region represent?

a)

A ∩ B ∩ C

b)

A ∪ B ∩ C

c)

B ∩ C

d)

A ∪ C

22.

What does the shaded region of the Venn diagram represent?

a)

P or S

b)

Only P or S

c)

P and S

d)

Only P and S

23.

{ three } and { t, h, r, e, e } are :

a)

Equal

b)

Equivalent

c)

Equal and Equivalent

d)

Neither

24.

Identify the shaded area...

a)

A'∩B

b)

A∩B'

c)

A∪B'

d)

A'∪B

SETS | NCERT | CLASS XI | QUIZ-1

Total questions: 24

Worksheet time: 22mins

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