KVPY SX SB Exam 2015 Question Paper

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Question : 19 of 120

Marks: +1, -0

Suppose a, b, c are positive integers such that

2^a+ 4^b+ 8^c= 328

. Then

{a + 2b+3c}/{abc}

is equal to -

$1/2$
$5/8$
$17/24$
$5/6$

Solution:

c = 3 not possible
Equation is possible if
a = 3 ,b = 4 ,c = 2

{a + 2b+3c}/{abc}=17/24

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