ABC26GN1030 · Simplification

Subject: General Aptitude · Chapter: Simplification · Exam: 2007 · Marks: · Difficulty:

$\left[1+\frac{1}{1+\frac{1}{1+\frac{1}{3}}}\right] \div 1 \frac{4}{7}$ is equal to
(a)1
(b)$1 \frac{1}{3}$
(c)$1 \frac{1}{4}$
(d)$1 \frac{1}{7}$
Answer
Answer (as printed): A
Explanation
Given exp. $=\left[1+\frac{1}{1+\frac{1}{(4 / 3)}}\right] \div \frac{11}{7}=\left[1+\frac{1}{1+\frac{3}{4}}\right] \div \frac{11}{7}$ $=\left[1+\frac{1}{(7 / 4)}\right] \div \frac{11}{7}=\left(1+\frac{4}{7}\right) \div \frac{11}{7}=\frac{11}{7} \div \frac{11}{7}=1$.

Explanation as extracted from the printed page; notation may be imperfect.

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