NCERT MCQ CLASS-11 CHAPTER-1 | MATH NCERT MCQ | SETS| EDUGROWN

In This Post we are  providing Chapter-1 Sets NCERT MCQ for Class 11 Math which will be beneficial for students. These solutions are updated according to 2021-22 syllabus. These MCQS  can be really helpful in the preparation of Board exams and will provide you with a brief knowledge of the chapter.

NCERT MCQ ON SETS

Question 1. If A = {1, 2, 3, 4, 5}, then the number of proper subsets of A is :
(a) 31
(b) 38
(c) 48
(d) 54

Answer : A

Question 2. The cardinality of the set P(P(P(f))) is
(a) 0
(b) 1
(c) 2
(d) 4
[P(A) represents power set of the set A]

Answer : D

Question 3. Let P be a set of squares, Q be set of parallelograms, R be a set of quadrilaterals and S be a set of rectangles. Consider the following :
1. P Ì Q
2. R Ì P
3. P Ì S
4. SÌ R
Which of the above are correct?
(a) 1, 2 and 3
(b) 1, 3 and 4
(c) 1, 2 and 4
(d) 3 and 4

Answer : B

Question 4. If A and B are finite sets, then which one of the following is the correct equation?
(a) n (A – B) = n (A) – n (B)
(b) n (A – B) = n (B – A)
(c) n (A – B) = n (A) – n (A ∩ B)
(d) n (A – B) = n (B) – n (A ∩ B)
[n (A) denotes the number of elements in A]

Answer : C

Question 5. If A = {x, y} then the power set of A is :
(a) {xx, yy}
(b) {f, x, y}
(c) {f,{x},{2y}}
(d) {f,{x},{y},{x,y}}

Answer : D

Question 6. Consider the following equations :
1. A – B = A – (A ∩ B)
2. A = (A ∩ B) ∪ (A – B)
3. A – (B ∪ C) = (A – B) ∪ (A – C)
Which of these is/are correct ?
(a) 1 and 3
(b) 2 only
(c) 2 and 3
(d) 1 and 2

Answer : D

Question 7. If A∪B ¹ f, then n(A∪B) = ?
(a) n(A) + n(B) – n(A∩B)
(b) n(A) – n(B) + n(A∩B)
(c) n(A) – n(B) – n(A∩ B)
(d) n(A) + n(B) + n(A∩ B)

Answer : A

Question 8. Let V = {a, e, i, o, u} and B = {a, i, k, u}. Value of V – B and B – V are respectively
(a) {e, 0} and {k}
(b) {e} and {k}
(c) {0} and {k}
(d) {e, 0} and {k, i}

Answer : A

Question 9. If A = {1, 2, 3, 4}, B = {2, 3, 5, 6} and C = {3, 4, 6,7}, then
(a) A – (B ∩ C) = {1, 3, 4}
(b) A – (B ∩ C) = {1, 2, 4}
(c) A – (B ∪ C) = {2, 3}
(d) A – (B ∪ C) = {f}

Answer : B

Question 10. If A and B are two sets, then A ∩ (A ∪ B)’ equals :
(a) A
(b) B
(c) f
(d) None

Answer : C

Question 11. How many elements has P(A), if A = f ?
(a) two
(b) one
(c) three
(d) zero

Answer : B

Question 12. Let A = {a, b}, B = {a, b, c}. What is A∪B ?
(a) {a, b}
(b) {a, c}
(c) {a, b, c}
(d) {b, c}

Answer : C

Question 13. Which of the following is correct?
(a) A∪B¹A∪A’
(b) (A∩B)’ = A’∪B’
(c) (A’ ∪B’) ¹A’∪A
(d) (A∩B)’ = A’∩B’

Answer : D

Question 14. What is the simplified representation of
(A´ ∩ B´∩C) ∪ (B∩C) ∪ (A ∩ C), where A,B, C are subsets of a set X?
(a) A
(b) B
(c) C
(d) X∩ ( A∪ B∪ C)

Answer : C

Question 15. What does the shaded portion of the Venn diagram given above represent?

(a) (P∩Q)∩(P∩R)
(b) ((P∩Q) – R)∪((P∩R) -Q)
(c) ((P∪Q) -R)∩((P∩R) -Q)
(d) ((P∩Q)∪R)∩((P∪Q) -R)

Answer : B