Question

If the statements
p: If voltage increases then current decreases.
q : If voltage does not increases then current does not decreases.
r : If current decreases then voltage increases.
s : If current does not decreases then voltage does not increases.
then which of the following pairs of statements having same meaning

• A. p, q and r, s
• B. p, r and q, s
• C. p, s and q, r
• D. no pair having same meaning

Hint:

A conditional is equivalent to its contrapositive.

Answer 1

The Correct Option is C

Step 1: Translate to symbols
$p: A\to B$, $q:\sim A\to\sim B$, $r: B\to A$, $s:\sim B\to\sim A$.

Step 2: Match by contraposition
$s$ is the contrapositive of $p$, and $r$ is the contrapositive of $q$. So option (C).

Final Answer:
Contrapositive pairs are $(p,s)$ and $(q,r)$, option (C). \[ \boxed{(p,s),(q,r)} \]