Question

STATEMENT-1: Let $a,b,c$ and $d$ be four positive numbers in H.P then $a+d>b+c$
and
STATEMENT-2: If $a,b,c$ nad $d$ are in H.P. then $\frac{a+d}{ad}=\frac{b+c}{bc}$

• A. Statement-1 is False, Statement-2 is True
• B. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1
• C. Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1
• D. Statement-1 is True, Statement-2 is False

Answer 1

The correct option is C Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1

$\frac{1}{a}+\frac{1}{d}=\frac{1}{b}+\frac{1}{c}\Rightarrow \frac{a+d}{ad}=\frac{b+c}{bc}$
and $ad>bc$