ABC26GN0936 · Simplification

Subject: General Aptitude · Chapter: Simplification · Exam: 2002 · Marks: · Difficulty:

The difference of $1 \frac{3}{16}$ and its reciprocal is equal to
(a)$1 \frac{1}{8}$
(b)$\frac{4}{3}$
(c)$\frac{15}{16}$
(d)None of these
Answer
Answer (as printed): D
Explanation
Required difference $=\frac{19}{16}-\frac{16}{19}=\frac{19^{2}-16^{2}}{304}$ $$=\frac{(19+16)(19-16)}{304}=\frac{35 \times 3}{304}=\frac{105}{304} .$$

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

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