ABC26GN1197 · Simplification

Subject: General Aptitude · Chapter: Simplification · Exam: 2006 · Marks: · Difficulty:

Simplify: $\frac{13 \frac{4}{7} \times 13 \frac{4}{7}+8 \frac{3}{7} \times 8 \frac{3}{7}}{13 \frac{4}{7}+8 \frac{3}{7}}$
(a)18
(b)20
(c)22
(d)24
Answer
Answer (as printed): C
Explanation
Given $\exp .=\frac{a^{2}-b^{2}}{a-b},\left(\right.$ where $\left.a=13 \frac{4}{7}, b=8 \frac{3}{7}\right)$ $$=a+b=13 \frac{4}{7}+8 \frac{3}{7}=\frac{95}{7}+\frac{59}{7}=\frac{154}{7}=22 .$$

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

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