XAT 2022 Number System Question (Medium)

Question

The Madhura Fruits Company is packing four types of fruits into boxes. There are 126 oranges, 162 apples, 198 guavas and 306 pears. The fruits must be packed in such a way that a given box must have only one type of fruit and must contain the same number of fruit units as any other box. What is the

Optima Learn · Accepted Answer

Each box must contain the same number of fruits, so that number must divide all four quantities. Hence it must be the greatest common divisor of 126, 162, 198 and 306. We have gcd 126,162 18, gcd 18,198 18 and gcd 18,306 18, so each box can hold 18 fruits. Then the number of boxes is 126 18 162 18 1

XAT 2022 Number System — Previous Year Question

XAT 2022

Quantitative

Number System

Medium

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