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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 terms are in H.P., their reciprocals (4, x, 10) are in A.P. For an A.P., the middle term is the arithmetic mean of the other two. So, \(x = \frac{4+10}{2} = \frac{14}{2} = 7\).

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