$$\frac{{\left[ {\left( {888 \times 888 \times 888} \right) - \left( {222 \times 222 \times 222} \right)} \right]}}{{\left[ {\left( {888 \times 888} \right) + \left( {888 \times 222} \right) + \left( {222 \times 222} \right)} \right]} }=\, ?$$
A. 777
B. 888
C. 1010
D. 666
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & \frac{{\left[ {\left( {888 \times 888 \times 888} \right) - \left( {222 \times 222 \times 222} \right)} \right]}}{{\left[ {\left( {888 \times 888} \right) + \left( {888 \times 222} \right) + \left( {222 \times 222} \right)} \right]}} \cr & = \frac{{\left( {{{888}^3} - {{222}^3}} \right)}}{{\left[ {{{888}^2} + \left( {888 \times 222} \right) + {{222}^2}} \right]}} \cr & = 888 - 222 \cr & = 666 \cr} $$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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