MCQ
The statement $p \rightarrow(q \rightarrow p)$ is equivalent to
  • A
    $p \rightarrow(p \wedge q)$
  • B
    $p \rightarrow(p \leftrightarrow q)$
  • C
    $p \rightarrow(p \rightarrow q)$
  • D
    $p \rightarrow(p \vee q)$

Answer

Consider option (D)
l23456
pq$q \rightarrow p$$\begin{array}{c}p \rightarrow \\ (q \rightarrow p)\end{array}$$p \vee q$$\begin{array}{c}p \rightarrow \\ (p \vee q)\end{array}$
TTTTTT
TFTTTT
FTFTTT
FFTTFT
The entries in the columns 4 and 6 are identical.
$\therefore p \rightarrow(q \rightarrow p)=p \rightarrow(p \vee q)$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free