Quantitative Aptitude Ques 1675

Question: Simplify $ \frac{[ 3\frac{1}{4}\div { 1\frac{1}{4}-0.5( 2\frac{1}{2}-\overline{\frac{1}{4}-\frac{1}{6}} ) } ]}{4\times \frac{1}{12}}. $

Options:

A) 245

B) 233

C) 234

D) 299

E) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ \frac{[ 3\frac{1}{4}\div { 1\frac{1}{4}-0.05( 2\frac{1}{2}-\overline{\frac{1}{4}-\frac{1}{6}} ) } ]}{4\times \frac{1}{12}} $ $ =\frac{[ \frac{13}{4}\div { \frac{5}{4}-\frac{1}{2}( \frac{5}{2}-\frac{3-2}{12} ) } ]}{4\times \frac{1}{12}} $ $ =\frac{[ \frac{13}{4}\div { \frac{5}{4}-\frac{1}{2}( \frac{5}{2}-\frac{1}{12} ) } ]}{\frac{1}{3}} $ $ =\frac{[ \frac{13}{4}\div { \frac{5}{4}-\frac{1}{2}( \frac{30-1}{12} ) } ]}{\frac{1}{3}}=\frac{[ \frac{13}{4}\div { \frac{5}{4}-\frac{29}{24} } ]}{\frac{1}{3}} $ $ =\frac{[ \frac{13}{4}\div { \frac{30-29}{24} } ]}{\frac{1}{3}}=\frac{[ \frac{13}{4}\div \frac{1}{24} ]}{\frac{1}{3}} $ $ =\frac{13}{4}\times 24\times 3=13\times 18=234 $