1.

`a, b, c` are positive integers froming an increasing `G.P`. whose common ratio is rational number, `b - a` is cube of natural number and `log_(6)a + log_(6)b + log_(6)c = 6` then `a + b + c` is divisible byA. `3`B. `5`C. `7`D. `9`

Answer» Correct Answer - A::C::D
`log_(6)a + log_(6)b + log_(6)c = 6`
`:. abc = 6^(6) rArr b^(3) = 6^(6)`
`b - a` is cube of a natural number
`b = 36, a = 9, c = 144`
`a + b + c = 169`
which is divisible by `3` & `7`.


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