Suppose a,b,c are positive integers such that `2^(a)+4^(b)+8^(c)=328 " then" (a+2b+3c)/(abc)` is equal to
Suppose a,b,c are positive integers such that `2^(a)+4^(b)+8^(c)=328 " then" (a+2b+3c)/(abc)` is equal to
A. `(1)/(2)`
B. `(5)/(8)`
C. `(17)/(24)`
D. `(5)/(6)`
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Correct Answer - C
c=3 not possible
Equation is possible if
a=3 b=4 c=2
`(a+2b+3c)/(abc)=(17)/(24)`.
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