Question

$p$ : He is hard working .
$q$ : He will win.
The symbolic form of "He is hard working but not going to win", is

• A. $p\wedge q$
• B. $p\wedge (\sim q)$
• C. $p\vee (\sim q)$
• D. $(\sim p)\wedge q$

Answer 1

Answer: (B)

$p\wedge (\sim q)$

$p$: He is hard-working.
$q$: He will win.
$\sim q$: He will not win.
Therefore for 'He is hard working and he will not win', would be
$p\wedge \sim q$
Hence, option B.