ABC26GN0812 · Decimal Fractions
Subject: General Aptitude · Chapter: Decimal Fractions · Exam: · Marks: · Difficulty:
Solve $7 \frac{1}{2}-\left[2 \frac{1}{4}+\left\{1 \frac{1}{4}-\frac{1}{2}\left(1 \frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)\right\}\right]=$ ? [UPSSSC-Lower Subordinate (Pre.) Exam, 2016]
(a)$\frac{2}{9}$
(b)$4 \frac{1}{2}$
(c)$9 \frac{1}{2}$
(d)$1 \frac{77}{228}$
Answer
Explanation
$7 \frac{1}{2}-\left[2 \frac{1}{4} \div\left\{1 \frac{1}{4}-\frac{1}{2}\left(1 \frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)\right\}\right]$ $$\begin{aligned} & =\frac{15}{2}-\left[\frac{9}{4} \div\left\{\frac{5}{4}-\frac{1}{2}\left(\frac{3}{2}-\frac{1}{3}-\frac{1}{6}\right)\right\}\right] \\ & =\frac{15}{2}\left[\frac{9}{4} \div\left\{\frac{5}{4}-\frac{1}{2}\left(\frac{9-2-1}{6}\right)\right\}\right] \\ & =\frac{15}{2}\left[\frac{9}{4} \div\left(\frac{5}{4}-\frac{1}{2}\right)\right]=\frac{15}{2}\left[\frac{9}{4} \div\left(\frac{5-2}{4}\right)\right] \\ & =\frac{15}{2}-\left[\frac{9}{4} \div \frac{3}{4}\right]=\frac{15}{2}-\left[\frac{9}{4} \times \frac{4}{3}\right] \\ & =\frac{15}{2}-3=\frac{15-6}{2}=\frac{9}{2}=4 \frac{1}{2} \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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