CAT 2018 Slot 2 — QA Question 34
SetsEasy
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
Answer & solution
- A
6
- B
8
- C
9
7
Solution
The set (PΔQ) = {1,4,5,6}.
The set (RΔS) = {1,2,3,4,7,8,10}
Therefore the set (PΔQ) Δ (RΔS) = {2,3,5,6,7,8,10}.
Thus there are 7 elements in the set.
Hence, option (d).