Question

If four positive and distinct quantities $a,b,c,d$ are in H.P. then

• A. $ad<bc$
• B. $ad=bc$
• C. $ad>bc$
• D. none of these

Answer 1

The correct option is C $ad>bc$

$b$ is the H.M. between $a$ and $c$ $\therefore \sqrt{ac}>b$
$Similarly\sqrt{bd}>c$
$\therefore \sqrt{abcd}>bc$
$\sqrt{ad}>\sqrt{bc}$
$ad>bc$
Hence, option 'C' is correct.