Quantitative Aptitude Ques 1789
Question: $ \frac{5-[ \frac{3}{4}+{ 2\frac{1}{2}-[ \frac{1}{2}+\overline{\frac{1}{6}-\frac{1}{7}} ] } ]}{2} $ is equal to
Options:
A) $ 1\frac{23}{168} $
B) $ 2\frac{23}{168} $
C) $ 3\frac{23}{168} $
D) $ 4\frac{23}{168} $
E) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
- $ ?=\frac{5-[ \frac{3}{4}+{ \frac{5}{2}-( \frac{1}{2}+\overline{\frac{1}{6}-\frac{1}{7}} ) } ]}{2} $
$ =\frac{5-[ \frac{3}{4}+{ \frac{5}{2}-( \frac{1}{2}+\frac{7-6}{42} ) } ]}{2} $
$ =\frac{5-[ \frac{3}{4}+{ \frac{5}{2}-( \frac{1}{2}+\frac{1}{42} ) } ]}{2} $
$ =\frac{5-[ \frac{3}{4}+{ \frac{5}{2}-( \frac{21+1}{42} ) } ]}{2} $
$ =\frac{5-[ \frac{3}{4}+{ \frac{5}{2}-\frac{22}{42} } ]}{2} $
$ =\frac{5-[ \frac{3}{4}+{ \frac{105-22}{42} } ]}{2}=\frac{5-[ \frac{3}{4}+\frac{83}{42} ]}{2} $
$ =\frac{5-[ \frac{63+166}{84} ]}{2}=\frac{5-\frac{229}{84}}{2} $
$ =\frac{\frac{420-229}{84}}{2}=\frac{\frac{191}{84}}{2}=\frac{191}{84\times 2} $
$ =\frac{191}{168}=1\frac{23}{168} $
BETA
