Question

If p, q, r, s are in harmonic progression and $p>s$, then

• A. $(\frac{1}{ps})<(\frac{1}{qr})$
• B. q+r=p+s
• C. $(\frac{1}{q})+(\frac{1}{p})=(\frac{1}{r})+(\frac{1}{s})$
• D. None of these

Answer 1

Answer: (D)

None of these

Answer 2

The correct option is (D): None of these
Explanation: If $p, q, r, s$ are in harmonic progression, it means their reciprocals $\frac{1}{p}, \frac{1}{q}, \frac{1}{r}, \frac{1}{s}$ are in arithmetic progression. Given $p > s$, we cannot determine a specific relationship among the options provided based solely on the harmonic progression definition. Thus, the correct answer is $D:$ None of these.