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: Option C
Solution(By Examveda Team)
$$\eqalign{ & {\text{Given expression,}} \cr & \,\,\,\,\,\,\,\,\,\,\frac{{{{\left( {\frac{7}{8} + \frac{5}{6}} \right)}^2}}}{{{{\left( {\frac{7}{8}} \right)}^2} - {{\left( {\frac{5}{6}} \right)}^2}}} \cr & = \frac{{{{\left( {\frac{7}{8} + \frac{5}{6}} \right)}^2}}}{{\left( {\frac{7}{8} + \frac{5}{6}} \right)\left( {\frac{7}{8} - \frac{5}{6}} \right)}} \cr & = \frac{{\left( {\frac{7}{8} + \frac{5}{6}} \right)}}{{\left( {\frac{7}{8} - \frac{5}{6}} \right)}} \cr & = \left( {\frac{{41}}{{24}} \times 24} \right) \cr & = 41 \cr} $$Related Questions on Simplification
A. 20
B. 80
C. 100
D. 200
E. None of these
A. Rs. 3500
B. Rs. 3750
C. Rs. 3840
D. Rs. 3900
E. None of these
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