**MCQs Questions for Class 11 Maths Chapter 1 Sets**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a vital role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns. Now-a-days, a total of 10 MCQs questions are asked in the class 10 board examination.

In most of the competitive examinations, only MCQ questions are asked. So, for getting ready for the competitive examinations, we have to practice for MCQs questions to solve. It strengthens the critical thinking and problem solving skills.

In future, if you want to prepare for competitive examination and to crack it, then you should more focus on the MCQ questions. Thus, from the board examinations point of view and competitive examinations point of view, you should practice more on multiple choice questions.

Thus, let’s solve these MCQs Questions to make our foundation very strong.

**MCQs Questions for Class 11
Maths Chapter 1 Sets**

**1.** (A’)’ = ?

(a) ∪
– A

(b) A’

(c) ∪

(d) A

**Answer: d**

**2. **Write the set {x : x is an
integer and x^{2 }– 9 = 0} in roster form.

(a) {3}

(b) {-3}

(c) {3, -3}

(d) {9, 3}

**Answer: c**

## 3. If A = [5, 6, 7] and B = [7, 8, 9] then A U B is equal to

(a) [5, 6, 7, 8, 9]

(b) [5, 6, 7]

(c) [7, 8, 9]

(d) None of these

**Answer: a**

**4.** A – B is read as

(a) Difference of A and B of B and A

(b) None of the above

(c) Difference of B and A

(d) Both a and b

**Answer: a**

**5. **If A, B and C are any three sets,
then A × (B ∪ C) is equal to

(a) (A × B) ∪ (A × C)

(b) (A ∪ B) × (A ∪ C)

(c) None of these

(d) (A × B) ∩ (A × C)

**Answer: a**

**6. **IF A = [5, 6, 7] and B = [7, 8,
9] then A ∪ B is equal to

(a) [5, 6, 7, 8, 9]

(b) [5, 6, 7]

(c) [7, 8, 9]

(d) None of these

**Answer: a**

**7. **The number of elements in set {x : x is a letter of word
TRIGONOMETRY} is

(a) 8

(b) 7

(c) 9

(d) 10

**Answer: c**

**8.
**Which of the following is a
null set?

(a) {x : x is a natural number and x^{2 }= 4}

(b) {x : x is a rational number and x^{2 }= 2}

(c) {x : x is an even prime number}

(d) {x : x is name of the day of week}

**Answer: b**

**9. **Which of the following sets are
null sets?

(a) {x: |x |< -4, x is a natural number}

(b) 2 and 3

(c) Set of all prime numbers between 15 and 19

(d) {x: x < 5, x > 6}

**Answer: b**

**10. **The total number of subsets of a finite set containing n elements is

(a) 2^{n + 1}

(b) 2n

(c) 2^{n}

(d) N

**Answer: c**

**11. **IF R = {(2, 1),(4, 3),(4, 5)},
then range of the function is

(a) Range R = {2, 4}

(b) Range R = {1, 3, 5}

(c) Range R = {2, 3, 4, 5}

(d) Range R {1, 1, 4, 5}

**Answer: b**

**12. ** If A = {2, 4}, then subsets of A are

(a) {{2}, {4}}

(b) {{2}, {4}, {2, 4}}

(c) {Ð¤, {2}, {4}}

(d) {Ð¤, {2}, {4}, {2, 4}

**Answer: d**

**13.
**The elements of
the set S = {x | x is the square of an integer and x < 100} is

(a) {0, 2, 4, 5, 9, 58, 49, 56, 99, 12}

(b) {0, 1, 4, 9, 16, 25, 36, 49, 64, 81}

(c) {1, 4, 9, 16, 25, 36, 64, 81, 85, 99}

(d) {0, 1, 4, 9, 16, 25, 36, 49, 64, 121}

**Answer: b**

**14. **In a class of 120 students
numbered 1 to 120, all even numbered students opt for Physics, whose numbers
are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7
opt for Math. How many students opt for none of the three subjects?

(a) 19

(b) 41

(c) 21

(d) 57

**Answer: b**

**15. **If A, B, C be three sets such
that A ∪ B = A ∪ C and A ∩ B = A ∩ C, then

(a) B = C

(b) A = C

(c) A = B = C

(d) A = B

**Answer: a**

**16.** If A = {1, 2, 3} and B = {3, 4, 5, 6}, then find A ∪ B.

(a) {1, 2, 3}

(b) {3}

(c) {1, 2, 3, 4, 5, 6}

(d) { }

**Answer: c**

**17.
**If A = [5, 6, 7]
and B = [7, 8, 9], then A U B is equal to

(a) [5, 6, 7, 8, 9]

(b) [5, 6, 7]

(c) [7, 8, 9]

(d) None of these

**Answer: a**

**18.** If A be the set of odd numbers and B be the set of even
numbers, then find A ∩ B.

(a) Set of prime numbers

(b) Set of real numbers

(c) Empty set

(d) Set of natural numbers

**Answer: c**

**19.
**Which of the
following two sets are equal?

(a) A = {1, 2} and B = {1}

(b) A = {1, 2} and B = {1, 2, 3}

(c) A = {1, 2, 3} and B = {2, 1, 3}

(d) A = {1, 2, 4} and B = {1, 2, 3}

**Answer: c**

**20. **In a class of 50 students, 10
did not opt for math, 15 did not opt for science and 2 did not opt for either.
How many students of the class opted for both math and science.

(a) 24

(b) 25

(c) 26

(d) 27

**Answer: d**