CAT 2018 Set Theory Question (Medium)

Question

For two sets A and B, let A B denote the set of elements which belong to A or B but not both. If P 1,2,3,4 , Q 2,3,5,6, , R 1,3,7,8,9 , S 2,4,9,10 , then the number of elements in P Q R S is

Accepted Answer

Step 1 Recall symmetric difference i.e., elements in either A or B but not both. Step 2 Compute P 1, 2, 3, 4 Q 2, 3, 5, 6 Step 3 Compute R 1, 3, 7, 8, 9 S 2, 4, 9, 10 Step 4 Now compute Union Intersection Final symmetric difference all elements except those in intersection Final Answer Number of ele

CAT 2018

Quantitative

Set Theory

Medium

For two sets A and B, let A △ B denote the set of elements which belong to A or B but not both. If P = {1,2,3,4}, Q = {2,3,5,6,}, R = {1,3,7,8,9}, S = {2,4,9,10}, then the number of elements in (P △ Q) △ (R △ S) is

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