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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If a+2b+3c=6a+2 b+3 c=6, then the greatest value of abc2a b c^2 is (where a,b,ca, b, c are positive real numbers) equal to p/qp / q then value of p+qp+q is?
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Correct option: A
17
Option A (17) is correct because the greatest value of abc2abc^2 is found using AM-GM inequality, leading to abc2≤9/8abc^2 \leq 9/8, and thus p+q=9+8=17p+q = 9+8 = 17.

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