If a, b and c are positive integers such that ab | Quantitative Aptitude - CAT Integers
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The question below is from previous year CAT question from CAT 2020 exam comes from CAT Integers: 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
Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:
CAT 2020 - Slot 1 - Quantitative Aptitude - Integers - Question 20 - If a, b and c are positive integers such that ab
Q. 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
1. 56
2. 49
3. 46
4. 59
Correct Answer: 46
Since the product is involved, we will keep the numbers as close as possible
bc = 96 and c < 9
b c
12 × 8 = 96
16 × 6 = 96
24 × 4 = 96
ab = 432
a b
12 × 36 = 432
16 × 27 = 432
24 × 18 = 432
So possible values of a = 36, b = 12, c = 8 Sum = 58
a = 27, b = 16, c = 6 Sum = 49
a = 18, b = 24, c = 4 Sum = 46
Least possible value = 46
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