Question 20.
If a, b and c are positive integers such that ab = 432, bc = 96 and c < 9, then the smallest possible value of a + b + c is
A
56
B
49
C
46
D
59
Question Explanation
Text ExplanationVideo Explanation
Since c<9, we can have the following viable combinations for b× c =96 (given our objective is to minimize the sum):
48× 2 ; 32×3; 24× 4 ; 16×6; 12×8
Similarly, we can factorize a× b =432 into its factors. On close observation, we notice that 18×24 and 24 × 4 corresponding to a×b and b×c respectively together render us with the least value of the sum of a+b+c = 18+24+4 =46
Hence, Option C is the correct answer.
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