• Ali, Saad, and Hassan are all wise.
  • Akram, Ali, and Hamza are all industrious.
  • Akram, Hassan, and Hamza are all honest.
  • Ali, Saad, and Hamza are all sportsmen.

Which of them are not wise, but is a sportsman?

  1. Ali
  2. Akram
  3. Hassan
  4. Hamza
  • 4
    $\begingroup$ This is painfully simple. $\endgroup$ – generalcrispy Nov 13 '18 at 18:17

The answer is

4 — Hamza.
If we call the set of all sportsmen $S = \{\textrm{Ali}, \textrm{Saad}, \textrm{Hamza}\}$ and the set of all wise $W = \{\textrm{Ali}, \textrm{Saad}, \textrm{Hassan}\}$, we can deduce that $S \land (\neg W) = \{\textrm{Hamza}\}$. Therefore, Hamza is the only one who is a sportsman but is not wise.

  • $\begingroup$ My answer seems awfully simple... am I missing something vital? $\endgroup$ – Hugh Nov 13 '18 at 17:43

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