The value of $$\frac{{5.35 \times 5.35 \times 5.35 + 3.65 \times 3.65 \times 3.65}}{{53.5 \times 53.5 + 36.5 \times 36.5 - 53.5 \times 36.5}}{\text{is:}}$$
A. 0.9
B. 90
C. 0.09
D. 9
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & \frac{{5.35 \times 5.35 \times 5.35 + 3.65 \times 3.65 \times 3.65}}{{53.5 \times 53.5 + 36.5 \times 36.5 - 53.5 \times 36.5}} \cr & = \frac{{{{5.35}^3} + {{3.65}^3}}}{{{{53.5}^2} + {{36.5}^2} - 53.5 \times 36.5}} \cr & = \frac{{\left( {5.35 + 3.65} \right)\left[ {{{\left( {5.35} \right)}^2} + {{\left( {3.65} \right)}^2} - 5.35 \times 3.65} \right]}}{{{{10}^2}\left[ {{{\left( {5.35} \right)}^2} + {{\left( {3.65} \right)}^2} - 5.35 \times 3.65} \right]}} \cr & = \frac{9}{{{{10}^2}}} \cr & = 0.09 \cr} $$Related Questions on Algebra
If $$p \times q = p + q + \frac{p}{q}{\text{,}}$$ then the value of 8 × 2 is?
A. 6
B. 10
C. 14
D. 16
A. $$1 + \frac{1}{{x + 4}}$$
B. x + 4
C. $$\frac{1}{x}$$
D. $$\frac{{x + 4}}{x}$$
A. $$\frac{{20}}{{27}}$$
B. $$\frac{{27}}{{20}}$$
C. $$\frac{6}{8}$$
D. $$\frac{8}{6}$$
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