CAT 2020 Number System Question (Medium)

Question

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

Accepted Answer

Step 1 Express and in terms of From b c From a b 96 c 96 4.5c For to be an integer, must be such that is an integer. Thus, must be a multiple of 2 since 4.5 9 2 . Try possible values of c 2, 4, 6, 8 --- Step 2 Compute Corresponding Values of , , For b 2 48 a 4.5 times 2 9 Sum --- For b 4 24 a 4.5 ti

CAT 2020

Quantitative

Number System

Medium

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

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