# XAT 2022 Question Paper | Quantitative Aptitude and Data Interpretation

###### XAT Previous Year Paper | XAT QADI Questions | Question 18

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Question 18 : Which of the following cannot be inferred conclusively from the given information?

1. Three among the boxes numbered 17 to 20 have 29, 31 and 33 broken pencils in some order.
2. No box numbered 1-6 has more broken pencils than any box numbered 17-20.
3. A box with the highest percentage of broken pencils has 100 pencils.
4. Four among the boxes numbered 7 to 16 have less than 10 broken pencils.
5. Exactly three boxes have 20% broken pencils.

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For the boxes which has 50 pencils, the possible defective pencils are in the range (3 - 10)
For the boxes which has 100 pencils, the possible defective pencils are in the range (5 - 20)
For the boxes which has 200 pencils, the possible defective pencils are in the range (10 - 20)
The values of defective pencils are (5,6,6,7,7,7,7,9,9,9,11,15,15,19,20,20,20,29,31,33)
(5,6,6,7,7,7,7,9,9,9) from these, 6 values can take by 1-6 boxes and 4 values will take by 7-16
(11,15,15,19,20,20,20) → 6 values can be taken by 7-16 boxes and 1 value can be taken by 17-20 boxes.
(29,31,33) → possible only for boxes 17-20
From the above information, we can say that options A, B, and D can be concluded.
The highest number of defective pencils possible for all boxes is 10, 20, 40.
Here we don't have 10 and 40, the only value we have is 20.
At Least two of the three 20s should belong to 7-16 boxes that have 100 pencils each. Hence Option C can also be concluded.
We can't conclude Option E from the given info.
Therefore, the correct answer should be Option E

The question is " Which of the following cannot be inferred conclusively from the given information? "

##### Hence, the answer is 'Exactly three boxes have 20% broken pencils.'

Choice E is the correct answer.

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