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Question

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


Options:
A .  `5/12`
B .  `12/5`
C .  `25/144`
D .  `144/25`
Answer: Option A

Let the number be `x`.

Then, `2/3 x` = `25/216 xx 1/x`  `hArr`  `x^2` = `25/216  xx 3/2` =  `25/144`  `hArr`  `x` = `sqrt(25/144)` = `5/12`



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