Comprehension
A pencil maker ships pencils in boxes of size 50, 100 and 200. Due to packaging issues, some pencils break. About the 20 boxes he has supplied to a shop, the following information is available:
✦ Box no. 1 through 6 have 50 pencils, Box no. 7 through 16 have 100 pencils and Box no. 17 through 20 have 200 pencils.
✦ No box has less than 5% or more than 20% broken pencils.
Following is the frequency table of the number of broken pencils for the twenty boxes:
✦ Box no. 1 through 6 have 50 pencils, Box no. 7 through 16 have 100 pencils and Box no. 17 through 20 have 200 pencils.
✦ No box has less than 5% or more than 20% broken pencils.
Following is the frequency table of the number of broken pencils for the twenty boxes:
Question: 1
Which of the following can possibly be the sequence of the number of broken pencils in Boxes 7-16?
Which of the following can possibly be the sequence of the number of broken pencils in Boxes 7-16?
Updated On: Aug 9, 2024
- 5,7,7,7,9,11,15,20,20,20
- 7,7,9,9,11,13,15,19,20,20
- 7,7,7,7,11,15,15,19,20,20
- 5,6,6,6,11,15,15,20,20,20
- 6,7,9, 11,15,19,20,20,20,29
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The Correct Option is C
Solution and Explanation
The correct answer is option (C):7,7,7,7,11,15,15,19,20,20
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Question: 2
Which of the following cannot be inferred conclusively from the given information?
Which of the following cannot be inferred conclusively from the given information?
Updated On: Aug 9, 2024
- No box numbered 1-6 has more broken pencils than any box numbered 17-20.
- Three among the boxes numbered 17 to 20 have 29, 31 and 33 broken pencils in some order.
- Four among the boxes numbered 7 to 16 have less than 10 broken pencils.
- Exactly three boxes have 20% broken pencils.
- A box with the highest percentage of broken pencils has 100 pencils.
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The Correct Option is D
Solution and Explanation
The correct answer is option (D):Exactly three boxes have 20% broken pencils.
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Question: 3
Suppose that additionally it is known that the number of broken pencils in Boxes 17-20 are in an increasing order. Which among the following additional information, if true, is not sufficient to uniquely know the number of defective pencils in each of the boxes numbered 17-20?
Suppose that additionally it is known that the number of broken pencils in Boxes 17-20 are in an increasing order. Which among the following additional information, if true, is not sufficient to uniquely know the number of defective pencils in each of the boxes numbered 17-20?
Updated On: Aug 9, 2024
- Box no. 17 contains more defective pencils than any box from among boxes no. 1-1d.
- Boxes no. 17-20 contain a total of 108 defective pencils.
- Boxes no. 7-16 contains a total of 124 defective pencils.
- Boxes no. 11-16 contain a total of 101 defective pencils.
- Boxes no. 7-16 contain a total of 133 defective pencils.
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The Correct Option is
Solution and Explanation
The correct answer is option (E):Boxes no. 7-16 contain a total of 133 defective pencils.
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