Question

Let P be the statement 'Ravi races' and let Q be the statement 'Ravi wins'. Then the verbal translation of $\sim (P\vee \sim Q)is$

• A. Ravi does not race and Ravi does not win
• B. It is not true that Ravi races and that Ravi does not win
• C. Ravi does not race or Ravi wins
• D. It is not true that Ravi races or that Ravi does not win

Answer 1

The correct option is D

It is not true that Ravi races or that Ravi does not win

P: Ravi races
Q: Ravi wins
~Q: Ravi does not win
$P\vee \sim Q:$ Ravi races or Ravi does not win
$\sim (P\vee \sim Q):$ It is not true that Ravi races or that Ravi does not win