10th Class Mathematics Real Numbers Question Bank MCQs - Real Numbers

If \[x=0.56125\]is written in the form \[\frac{p}{q},\] where p, q are coprimes and q is of the form \[{{2}^{n}}\times {{5}^{m}},\] then find the values of n and m.

A) \[4,2\]

B) \[3,5\]

C) \[5,5\]

D) \[2,3\]

Correct Answer: C

Solution :

Sol. [c] Given, \[x=0.56125\Rightarrow x=\frac{56125}{{{10}^{5}}}=\frac{56125}{{{2}^{5}}\times {{5}^{5}}}\]

On comparing denominator with \[{{2}^{n}}\times {{5}^{m}},\] we have \[m=n=5.\]