ABC26GN0816 · Simplification
Subject: General Aptitude · Chapter: Simplification · Exam: 2009 · Marks: · Difficulty:
Simplify: (a) $460 \times 15 - 5 \times 20$ (Bank P.O., 2010) (b) $1 \div[1+1 \div\{1+1 \div 1(1+1 \div 2)\}]+1$ (A.A.O., 2009)
Answer
Explanation
(a) Given expression $=6900-100=6800$. (b) Given expression $=1 \div\left[1+1 \div\left\{1+1 \div 1\left(1+\frac{1}{2}\right)\right\}\right]+1 = 1 \div\left[1+1 \div\left\{1+1 \div \frac{3}{2}\right\}\right]+1=1 \div\left[1+1 \div\left\{1+1 \times \frac{2}{3}\right\}\right]+1 = 1 \div\left[1+1 \div\left\{1+\frac{2}{3}\right\}\right]+1=1 \div\left[1+1 \div \frac{5}{3}\right]+1 = 1 \div\left[1+1 \times \frac{3}{5}\right]+1=1 \div\left[1+\frac{3}{5}\right]+1=1 \div \frac{8}{5}+1=1 \times \frac{5}{8}+1=\frac{5}{8}+1=\frac{13}{8}$.
Explanation as extracted from the printed page; notation may be imperfect.
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