Two-third of a positive number and $$\frac{25}{216}$$ of its reciprocal are equal, The number is :
A. $$\frac{5}{12}$$
B. $$\frac{12}{5}$$
C. $$\frac{25}{144}$$
D. $$\frac{144}{25}$$
Answer: Option A
Solution(By Examveda Team)
Let the number be xThen,
$$\eqalign{ & \frac{2}{3}x = \frac{25}{216} \times \frac{1}{x} \cr & \Leftrightarrow {x^2} = \frac{{25}}{{216}} \times \frac{3}{2} \cr & \Leftrightarrow {x^2} = \frac{{25}}{{144}} \cr & \Leftrightarrow x = \sqrt {\frac{{25}}{{144}}} \cr & \Leftrightarrow x = \frac{5}{{12}} \cr} $$
Related Questions on Problems on Numbers
If one-third of one-fourth of a number is 15, then three-tenth of that number is:
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D. 54
E. None of these
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D. Cannot be determined
E. None of these
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