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a, b, c are positive integers formaing a...

`a`, `b`, `c` are positive integers formaing an incresing `G.P.` and `b-a` is a perfect cube and `log_(6)a+log_(6)b+log_(6)c=6`, then `a+b+c=`

A

100

B

111

C

122

D

189

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • 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 by

    A
    `3`
    B
    `5`
    C
    `7`
    D
    `9`

  • If a, b, c, are positive real numbers and log_(4) a=log_(6)b=log_(9) (a+b) , then b/a equals

    A
    `3/2`
    B
    `2/3`
    C
    `((1+sqrt(5)))/2`
    D
    `sqrt(15)/2`

  • If a.b.c are in GP then log_(a)n. log_(b)n. log_(c) n are in

    A
    A.P.
    B
    G.P.
    C
    H.P.
    D
    not

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