Question

If p is the statement 'Ravi races' and q is the statement `Ravi wins'. Then, the verbal translation of $~[p\vee (~q\left)\right]$ is

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

Answer 1

The correct option is B

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

Explanation for the correct options:

Given,

$\mathrm{p}$ statement : 'Ravi races',

$\mathrm{q}$ statement : ‘Ravi wins’,

So, $~q$ means 'Ravi does not win'.

Since the statement of given proposition is $~[p\vee (~q\left)\right]$.

$\therefore ~\left[\mathrm{p}\vee (~\mathrm{q})\right]$ means that it is not true that Ravi races or that Ravi does not win

Hence Option (2) is Correct.