defence exam Indian Coast Guard Assistant Commandant (GD/CPL) 2025 Test Series Mathematics Sets Operations on Sets
Consider the following set theoretic expressions X, Y and Z where U-union, ∩ -intersection and superscript ‘C’ is set complement :
X = P ∩ Q ∩ R
Y = (P ∩ Q) ∪ (P ∩ R) ∪ (Q ∩ RC)
Z = (Q ∪ PC) ∩ (P ∪ R) ∪ (P ∪ Q) ∩ P ∩ (PC ∪ R)
Then which of the following is true?
1
No two expressions represent same set
2
All three expressions represent same set
3
Only X and Z represent same set
4
Only Y and Z represent same set