XAT 2022 Question Paper | Quantitative Aptitude and Data Interpretation

XAT Previous Year Paper | XAT QADI Questions | Question 11

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Question 11 : 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 minimum number of boxes that must be used?

  1. 18
  2. 42
  3. 44
  4. 36
  5. 21

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Explanatory Answer

We will get the box size by taking H.C.F of 126, 162, 198, 306.
So that H.C.F = 18.
Hence, the required box should have 18 fruits each.
For Oranges, we need 7 boxes
For Apples, we need 9 boxes
For Guavas, we need 11 boxes
For Pears, we need 17 boxes.
In total we need, 7 + 9 + 11 + 17 = 44 boxes

The answer is '44'

Choice C is the correct answer.

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