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If \(1/4, 1/x, 1/10\) are in H.P., what is the value of x?

  • A.6
  • B.7
  • C.8
  • D.14

Answer: B

If the reciprocals are in H.P., the numbers themselves are in A.P.

\[ 4,\ x,\ 10 \text{ in A.P.} \quad\Longrightarrow\quad x = \frac{4 + 10}{2} = 7 \]

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