The value of
(0.1×0.1×0.1+0.2×0.2×0.2)/(0.2×0.2×0.2+0.4×0.4×0.4)
A
0.0125
B
0.125
C
0.25
D
0.5
Correct Option:
B
Explanation
The expression is:
(0.1^3+0.2^3)/(0.2^3+0.4^3).
The denominator uses numbers exactly twice those in the numerator. Cubing doubles a number by a factor of 2^3=8, so the denominator is 8 times the numerator. Hence the fraction is: