Q.*10. If a, b, c are positive such that a b 2 c 3 = 64 then least value of 1 a + 2 b + 3 c is -
(A) 6
(B) 2
(C) 3
(D) 32

Hi, Take numbers 1a,1b,1b,1c,1c,1cnow use AMGM1a+1b+1b+1c+1c+1c61a×1b×1b×1c×1c×1c161a+2b+3c61ab2c3161a+2b+3c61ab2c3161a+2b+3c6164161a+2b+3c6126161a+2b+3c612661a+2b+3c623so c is the answer

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so the answer is
(C) 3
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