JNU SSS 2012 Question 42: Logic and proof techniques

(i) Four students, named $P$, $Q$, $R$ and $S$ all opted for different subjects—Economics, History, Physics and Chemistry. (ii) $Q$ opted neither for Physics nor for History. (iii) $S$ opted neither for Physics nor for Chemistry. (iv) If $Q$ did not opt for Chemistry, then $R$ did not opt for Physics. (v) $P$ opted neither for Physics nor for History.

$Q$ opted for