Aptitude Question ID : 94802

Find out the value of
\frac{4\frac{2}{7}-\frac{1}{2}}{3\frac{1}{2}+1\frac{1}{7}}\div \frac{1}{2+\frac{1}{2+\frac{1}{5-\frac{1}{5}}}}
[A]1
[B]\frac{1}{3}
[C]\frac{1}{2}
[D]2

\mathbf{2}
First Part = \frac{\frac{30}{7}-\frac{1}{2}}{\frac{7}{2}+\frac{8}{7}}
= \frac{\frac{60-7}{14}}{\frac{49+16}{14}} = \frac{53}{14}\times \frac{14}{65} = \frac{53}{65}
Second Part = \frac{1}{2+\frac{1}{2+\frac{1}{\frac{25-1}{5}}}}
= \frac{1}{2+\frac{1}{2+\frac{5}{24}}} = \frac{1}{2+\frac{1}{\frac{48+5}{24}}}
= \frac{1}{2+\frac{24}{53}} = \frac{1}{\frac{106+24}{53}} = \frac{53}{130}
\therefore Expression = \frac{53}{65}\div \frac{53}{130}
= \frac{53}{65}\times \frac{130}{53} = 2
Hence option [D] is right answer.

Advertisement

Comments