$$\frac{{38 \times 38 \times 38 + 34 \times 34 \times 34 + 28 \times 28 \times 28 - 38 \times 34 \times 84}}{{38 \times 38 + 34 \times 34 + 28 \times 28 - 38 \times 34 - 34 \times 28 - 38 \times 28}}$$            is equal to = ?

A. 24

B. 32

C. 44

D. 100

Answer: Option D

Solution(By Examveda Team)

$$\eqalign{ & {\text{Given experssion ,}} \cr & \frac{{{a^3} + {b^3} + {c^3} - 3abc}}{{{a^2} + {b^2} + {c^2} - ab - bc - ca}} \cr & \left( {Let,\,38 = a,\,34 = b,\,28 = c} \right) \cr & = a + b + c \cr & = 38 + 34 + 28 \cr & = 100 \cr} $$