Two-third of a positive number and 25/216 of its reciprocal

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Two-third of a positive number and 25/216 of its reciprocal are equal. The number is

1. 25
  216
2. 5
  12
3. 144
  25
4. 12
  5

Correct Option: C

Let us assume the number is n.
According to given question,

∴	2	n =	25	⇒ n² =	25 × 3
	3		216n		2 × 216

∴ n =	√	25 × 3	=	√	25	=	5
		2 × 216			144		12