ABC26GN1199 · Simplification
Subject: General Aptitude · Chapter: Simplification · Exam: 2007 · Marks: · Difficulty:
What is $\frac{\frac{7}{8} \times \frac{7}{8}+\frac{5}{6} \times \frac{5}{6}+\frac{7}{8} \times \frac{5}{3}}{\frac{7}{8} \times \frac{7}{8}-\frac{5}{6} \times \frac{5}{6}}$ equal to?
(a)$\frac{41}{24}$
(b)$\frac{1}{24}$
(c)41
(d)None of these
Answer
Explanation
Given exp. $=\frac{\left(\frac{7}{8}+\frac{5}{6}\right)^{2}}{\left(\frac{7}{8}\right)^{2}-\left(\frac{5}{6}\right)^{2}}=\frac{\left(\frac{7}{8}+\frac{5}{6}\right)^{2}}{\left(\frac{7}{8}+\frac{5}{6}\right)\left(\frac{7}{8}-\frac{5}{6}\right)}$ $$=\frac{\left(\frac{7}{8}+\frac{5}{6}\right)}{\left(\frac{7}{8}-\frac{5}{6}\right)}=\left(\frac{41}{24} \times 24\right)=41 .$$
Explanation as extracted from the printed page; notation may be imperfect.
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