## PRACTICE QUESTIONS ON SET OPERATIONS

Practice questions on set operations :

Here we are going to see some practice questions on set operations.

Question 1 :

From the given Venn diagram find

(i) A (ii) B (iii) A U B (iv) A n B

Also verify that n(A U B) = n(A) + n(B) - n(A n B)

Solution

Question 2 :

If n(U) = 38, n(A) = 16, n (AnB) = 12, n(B') = 20 find n(AUB) .

Question 3 :

From the given Venn diagram find

(i) A (ii) B (iii) A U B (iv) A n B

Also verify that n(A U B) = n(A) + n(B) - n(A n B)

Question 4 :

From the venn diagram, write the elements of set A n B

Question 5 :

If n(A) = 12, n(B) = 17 and n(A U B) = 21, find n(A n B)

Question 6 :

From the venn diagram, write the elements of the following sets

(i)  A'   (ii)  B'   (iii)  (A n B)'   (iv)  (A U B)'

Solution

Question 7 :

If n(U) = 43, n (A) =  26 find n (A').

Question 8 :

If n (U) = 38, n (A) = 16, n (A n B) = 12, n (B') = 20, find n (A U B).

Question 9 :

If A = {- 2, - 1,0,3,4}, B = {- 1,3,5}, find (i) A - B (ii) B - A

Question 10 :

If A = {2, 3, 5, 7, 11} and B = {5, 7, 9, 11, 13} , find A Δ B.

Question 11 :

Given that U = {3, 7, 9, 11, 15, 17, 18}, M = {3, 7, 9, 11} and N = {7, 11, 15, 17},

find (i) M - N    (ii) N - M     (iii) N' - M     (iv) M' - N

(v) M n (M - N)    (vi) N U (N - M)     (vii) n(M - N)

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