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 $