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Class 8 - Operations on Set Worksheet 2

1. If P = {a, b, c, d, e, f, g, h} Q = {c, d, e, i, k, l, m, n} R = {a, f, k, l, v, w}, then find P ∪ Q.

a) {a, b, c, d, e, f, g, h, c, d, e, i, k, m, n}
b) {c, d, e}
c) {a, b, c, d, e, f, g, h, i, k, l, m, n}
d) ∮

2. If P = {a, b, c, d, e, f} Q = {c, d, k, l, m, n} R = {a, f, k, l, v, w}, then find Q ∩ R.

a) {k, l}
b) {c, d, k, l, m, n}
c) {a, f, k, l, v, w}
d) None of these

3. If P = {a, b, c, d, e, f, g, h} Q = {c, d, e, i, k, l, m, n} R = {a, f, k, l, v, w}, then find P ∪ Q.

a) {a, b, c, d, e, f, g, h}
b) {a, b, c, d, e, f, g, h, i, k, l, m, n}
c) {c, d, e, i, k, l, m, n}
d) {c, d, e}

4. If P = {a, b, c, d, e, f, g, h} Q = {c, d, e, i, m, n} R = {a, f, k, l, v, w}, then find Q ∩ R.

a) {c, d, e, i, m, n}
b) {a, f, k, l, v, w}
c) { }
d) {c, d, e, i, m, n, a, f, k, l, v, w}

5. If P = {a, b, c, d, e, f, g, h} Q = {c, d, e, i, k, l, m, n} R = {a, f, k , l, v, w}, then find P ∩ R.

a) {a, f}
b) {a, b, c, d, e, f, g, h, k, l, v, w}
c) {a, f, k, l, v, w}
d) None of these

6. If P = {a, b, c, d, e, f} Q = {c, d, e, i, k, l, m, n} R = {a, f, k, l}, then find P ∪ R.

a) {a, f, k, l}
b) {a, b, c, d, e, f, k, l}
c) {a, f}
d) {a, b, c, d, e, f}

7. Find P' when Universe set (U) = {x|x ∈ N, X ≤ 10}, P = {1, 2, 4, 6}.

a) {3, 5, 7, 8, 9, 10}
b) {1, 2, 4, 6}
c) { }
d) {1, 2, 4, 6, 7, 8}

8. If universe set U = {10, 20, 30, 40, 50, 60, 70, 80, 90} P = {10, 20, 30, 40, 50, 60} Q = {40, 60, 80, 90}, then find Q'.

a) {10, 20, 30, 40, 50, 60, 70, 80, 90}
b) {10, 20, 30, 50, 70}
c) {40, 60, 80, 90}
d) ∮

9. If universe set U = {10, 20, 30, 40, 50, 60, 70, 80, 90} P = {10, 20, 30, 40, 50, 60} Q = {40, 60, 80, 90}, then find Q − P.

a) {10, 20, 30, 40, 50, 60}
b) {40, 60, 80, 90}
c) {80, 90}
d) None of these

10. If universe set U = {10, 20, 30, 40, 50, 60, 70, 80, 90} P = {10, 20, 30, 40, 50, 60} Q = {40, 60, 80, 90}, then find P ∪ Q.

a) {10, 20, 30, 40, 50, 60, 80, 90}
b) {10, 20, 30, 40, 50, 60}
c) {40, 60, 80, 90}
d) None of these

11. If universe set U = {10, 20, 30, 40, 50, 60, 70, 80, 90} P = {10, 20, 30, 40, 50, 60} Q = {40,60,80,90}, then find P' ∪ Q'.

a) {10, 20, 30, 50, 70, 80, 90}
b) {10, 20, 30, 40, 50, 60}
c) {40, 60, 80, 90}
d) ∮

12. If universe set U = {10, 20, 30, 40, 50, 60, 70, 80, 90}, P = {10, 20, 30, 40, 50, 60} Q = {40,60,80,90}, then find P ∩ Q.

a) {40, 60, 80, 90}
b) {10, 20, 30, 40, 50, 60}
c) {40, 60}
d) None of these

13. If universe set U = {10, 20, 30, 40, 50, 60, 70, 80, 90}, P = {10, 20, 30, 40, 50, 60} Q = {40, 60, 80, 90}, then find (P ∩ Q)'.

a) {40,60}
b) {10, 20, 30, 50, 80, 90}
c) {10, 20, 30, 40, 50, 60}
d) {40, 60, 80, 90}

14. If universe set U = {10, 20, 30, 40, 50, 60, 70, 80, 90}, P = {10, 20, 30, 40, 50, 60} Q = {40, 60, 80, 90}, then find P − Q.

a) {10, 20, 30, 50}
b) {10, 20, 30, 40, 50, 60}
c) {40, 60, 80, 90}
d) None of these

15. If universe set U = {10, 20, 30, 40, 50, 60, 70, 80, 90}, P = {10, 20, 30, 40, 50, 60} Q = {40, 60, 80, 90}, then find p'.

a) {70, 80, 90}
b) {10, 20, 30, 40, 50, 60}
c) {40, 60, 80, 90}
d) {10, 20, 30, 40, 50, 60, 70, 80, 90}

16. If n(P − Q) = 15, n(Q − P ) = 20 and n(P ∩ Q) = 5, find n(P) = ?

a) 30                        b) 20
c) 40                        d) 60

17. If n(P − Q) = 15, n(Q − P ) = 20 and n(P ∩ Q) = 5, find n(Q) = ?

a) 25                        b) 30
c) 50                        d) 35

18. If n(P − Q) = 15, n(Q − P ) = 20 and n(P ∩ Q) = 5, find n(P ∪ Q) = ?

a) 45                        b) 50
c) 55                        d) 40

19. n(U) = 30, n(P') = 15, and n(P ∩ Q)' = 20 and n(Q) = 15, find n(P ∪ Q) = ?

a) 30                        b) 35
c) 15                        d) 40

20. n(U) = 30, n(P') = 15, and n(P ∩ Q)' = 20 and n(Q) = 15, find n(Q − P) = ?

a) 5                        b) 15
c) 20                      d) 25

If you want to download the above worksheet, please click below link.

Set Operation Worksheet-2Download the pdf

Class-8 Set Operation Worksheets

Set Operation Worksheet - 1

Set Operation Worksheet - 2

Answer Sheet

Set-Operation-AnswerDownload the pdf











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