SetsCAT Previous-Year Questions

2 previous-year questions on Sets from CAT, with full solutions. Practise free — check answers as you go; sign in to save your progress.

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2 questions

Sets · CAT PYQs

CAT 2018 Slot 2 · QA
Q1.

For two sets A and B, let AΔB 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 (PΔQ)Δ(RΔS) is

CAT 2003 Slot 2 · QA
Q2.

Consider the sets Tn = {n, n + 1, n + 2, n + 3, n + 4}, where n = 1, 2, 3, … , 96.

How many of these sets contain 6 or any integral multiple thereof (i.e., any one of the numbers 6, 12, 18, ...)?