$$\frac{{768 \times 768 \times 768 + 232 \times 232 \times 232}}{{768 \times 768 - 768 \times 232 + 232 \times 232}} = ?$$
A. 1000
B. 536
C. 500
D. 268
E. None of these
Answer: Option A
Solution(By Examveda Team)
Given expression,$$ = \frac{{\left( {{a^3} + {b^3}} \right)}}{{\left( {{a^2} - ab + {b^2}} \right)}}$$ (where a = 768 and b = 232)
$$\eqalign{ & = \left( {a + b} \right) \cr & = \left( {768 + 232} \right) \cr & = 1000 \cr} $$
Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
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