Quantitative Aptitude – Modern Maths – Set Theory – For two sets A and B, let AΔB

Slot -2 – Quantitative Aptitude – Modern Maths – Set Theory – For two sets A and B, let AΔB

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?

a) 7

b) 8

c) 9

d) 6

Answer: a) 7

Solution: Given, P = {1,2,3,4}, Q = {2,3,5,6,}, R = {1,3,7,8,9}, S = {2,4,9,10}

So (PΔQ) = { 1, 4, 5, 6} and (RΔS)= { 1,2,3,4, 7,8,10}

Thus (PΔQ)Δ(RΔS) = {2,3, 5,6, 7, 8,9,10}

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