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.
(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
(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
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