ML Aggarwal Operation on Sets MCQs Class 8 ICSE Ch-6 Maths Solutions

ML Aggarwal Operations on sets MCQs Class 8 ICSE Maths Solutions. We Provide Step by Step Answer of  MCQs Questions for Operation on Sets as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-8.

ML Aggarwal Operation on Sets MCQs Class 8 ICSE Maths Solutions

Board ICSE
Publications Avichal Publishig Company (APC)
Subject Maths
Class 8th
Chapter-6 Operation on Sets
Writer ML Aggarwal
Book Name Understanding
Topics Solution of MCQs
Edition 2023-2024

Operation on Sets MCQs

ML Aggarwal Class 8 ICSE Maths Solutions

Page-103

Mental Maths

Question 1. Fill in the blanks:

(i) If A, B are two sets, then A ∪ B = …………..
(ii) If A, B are two sets, then A ∩ B = …………..
(iii) If A, B are two sets, then A – B = …………..
(iv) A and B are disjoint sets if and only if A ∩ B = …………..
(v) A and B are overlapping sets if and only if A ∩ B = …………..
(vi) The set {x: x ϵ W, x < 3} in the roster form = …………..
(vii) If A is any set, then A ∪ ϕ = and A ∪ ξ = …………..
(viii) If ξ = {all digits in our number system] and A ={1,2, 3, 4, 5}, then A’= …………..
(ix) If A is any set and A’ is its complement, then A ∪ A’ = and A ∩ A’ = …………..

Answer :

(i) If A, B are two sets, then A ∪ B = {x | x ∈ A or x ∈ B}
(ii) If A, B are two sets, then A ∩ B = {x | x ∈ A or x ∈ B}
(iii) If A, B are two sets, then A – B = {x | x ∈ A or x ∉ B}
(iv) A and B are disjoint sets if and only if A ∩ B = Φ
(v) A and B are overlapping sets if and only if A ∩ B = Φ
(vi) The set {x: x ϵ W, x < 3} in the roster form = {0, 1, 2}
(vii) If A is any set, then A ∪ ϕ = and A ∪ ξ =  ξ
(viii) If ξ = {all digits in our number system] and A ={1,2, 3, 4, 5}, then A’= {0, 6, 7, 8, 9}
(ix) If A is any set and A’ is its complement, then A ∪ A’ = and A ∩ A’ = Φ

Question 2. State whether the following statements are true (T) or false (F):

(i) If ξ is the universal set and A is any set, then A’ = {x; x ϵ ξ and r ∉ A}.

(ii) If A = {0,1,2,3,4, 5} and B = {0,3, 5, 7}, then A ∩ B = B.

(in) If A= {0,1, 2,3,4, 5} and B = {0,3,5,7}, then A ∪ B=A.

(iv) If ξ = {all digits in our number system}, A = {multiples of 2} and B = {multiples of 3}, then A ∩ B = {6}

Answer:

(i) If ξ is the universal set and A is any set, then A’ = {x; x ϵ ξ and r ∉ A}.  True

(ii) If A = {0,1,2,3,4, 5} and B = {0,3, 5, 7}, then A ∩ B = B.  False

(in) If A= {0,1, 2,3,4, 5} and B = {0,3,5,7}, then A ∪ B=A.  False

(iv) If ξ = {all digits in our number system}, A = {multiples of 2} and B = {multiples of 3}, then A ∩ B = {6}  True


Multiple Choice Question

ML Aggarwal Operations on sets MCQs Class 8 ICSE Maths

Page 104

choose the correct answer from the given four options ( 3 to 11)

Question 3. If A = {x | x is a colour of rainbow} and B = {white, red, green}, then A ∩ B is

(a) B
(b) {green}
(c) {red}
(d) {green, red}

Answer:

(d) {green, red}

Question 4. If P = {-1, 0, 1, 2, 5} and Q = {3, 5, 7}, then P ∪ Q is

(a) {5}
(b) {-1, 0, 1, 2, 3, 7}
(c) {-1, 0, 1, 2, 3, 5, 7}
(d) none of these

Answer:

(c) {-1, 0, 1, 2, 3, 5, 7}

Question 5. If A and B are two sets, then A – B is defined as

(a) {x |x ϵ A or x ϵ B}
(b) {x | x ϵ A and x ϵ B}
(c) {x | x ϵ A and x ∉ B}
(d) {x | x ϵ B and x ∉ A}

Answer:

(c) {x | x ϵ A and x ∉ B}

Question 6. If A is any set, then A ∪ ϕ is

(a) A
(b) ϕ
(c) 2,
(d) none of these

Answer:

(a) A

Question 7. A ∩ ξ is same as

(a) A
(b) ϕ
(c) A’
(d) ξ

Answer:

(a) A

Question 8. If ξ = W and A = {x | x ϵ W and x ≤ 10}, then A’ is

(a) ϕ
(b) {x | x ϵ W and 0 ≤ x ≤ 10}
(c) {x | x ϵ W and x ≤ 10}
(d) {x | x ϵ W and x ≥ 11}

Answer:

(d) {x | x ϵ W and x ≥ 11}

Question 9. If ξ= {x | x ϵ W, x ≤ 12}, A – {x | x is a multiple of 3} and B = {x | x is a multiple of 4}, then A ∩ B is

(a) ϕ
(b) {0}
(c) {12}
(d) {0, 12}

Answer:

(d) {0, 12}

Question 10. If ξ = (all digits in our number system}, A = {x | x is prime} and B = {x | x is even}, then B – A is

(a) {4, 6, 8}
(b) {0, 4, 6, 8}
(c) {3, 5, 7}
(d) {2}

Answer:

(b) {0, 4, 6, 8}

Question 11. If A and B are two sets such that n(A) = 22, n(B) = 18 and n(A ∪ B) = 35, then n(A ∩ B)

(a) 4
(b) 5
(c) 15
(d) 75

Answer:

(b) 5

—  : End of ML Aggarwal Operations on sets MCQs Class 8 ICSE Maths Solutions :–

Return to –  ML Aggarwal Maths Solutions for ICSE Class -8

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