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Ten objects o1, o2, …, o10 were distributed among Amar, Barat, Charles, Disha, and Elise. Each item went to exactly one person. Each person got exactly two of the items, and this pair of objects is called her/his bundle.
The following table shows how each person values each object.
The value of any bundle by a person is the sum of that person’s values of the objects in that bundle. A person X envies another person Y if X values Y’s bundle more than X’s own bundle.
For example, hypothetically suppose Amar’s bundle consists of o1 and o2, and Barat’s bundle consists of o3 and o4. Then Amar values his own bundle at 4 + 9 = 13 and Barat’s bundle at 9 + 3 = 12. Hence Amar does not envy Barat. On the other hand, Barat values his own bundle at 7 + 5 = 12 and Amar’s bundle at 5 + 9 = 14. Hence Barat envies Amar.
The following facts are known about the actual distribution of the objects among the five people.
1. If someone’s value for an object is 10, then she/he received that object.
2. Objects o1, o2, and o3 were given to three different people.
3. Objects o1 and o8 were given to different people.
4. Three people value their own bundles at 16. No one values her/his own bundle at a number higher than 16.
5. Disha values her own bundle at an odd number. All others value their own bundles at an even number.
6. Some people who value their own bundles less than 16 envy some other people who value their own bundle at 16. No one else envies others.
The following table shows how each person values each object.
The value of any bundle by a person is the sum of that person’s values of the objects in that bundle. A person X envies another person Y if X values Y’s bundle more than X’s own bundle.
For example, hypothetically suppose Amar’s bundle consists of o1 and o2, and Barat’s bundle consists of o3 and o4. Then Amar values his own bundle at 4 + 9 = 13 and Barat’s bundle at 9 + 3 = 12. Hence Amar does not envy Barat. On the other hand, Barat values his own bundle at 7 + 5 = 12 and Amar’s bundle at 5 + 9 = 14. Hence Barat envies Amar.
The following facts are known about the actual distribution of the objects among the five people.
1. If someone’s value for an object is 10, then she/he received that object.
2. Objects o1, o2, and o3 were given to three different people.
3. Objects o1 and o8 were given to different people.
4. Three people value their own bundles at 16. No one values her/his own bundle at a number higher than 16.
5. Disha values her own bundle at an odd number. All others value their own bundles at an even number.
6. Some people who value their own bundles less than 16 envy some other people who value their own bundle at 16. No one else envies others.
Question: 1
What BEST can be said about object o8?
What BEST can be said about object o8?
Updated On: Sep 13, 2024
- o8 was given to Amar, Charles, or Disha
- o8 was given to Disha
- o8 was given to Charles
- o8 was given to Charles or Disha
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The Correct Option is C
Solution and Explanation
The correct answer is (C): o8 was given to Charles
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Question: 2
Who among the following envies someone else?
Who among the following envies someone else?
Updated On: Sep 13, 2024
- Barat
- Charles
- Amar
- Elise
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The Correct Option is C
Solution and Explanation
The correct answer is (C): Amar
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Question: 3
What is Amar’s value for his own bundle?
What is Amar’s value for his own bundle?
Updated On: Sep 13, 2024
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Correct Answer: 12
Solution and Explanation
The correct answer is 12
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Question: 4
Object o4 was given to
Object o4 was given to
Updated On: Sep 13, 2024
- Elise
- Barat
- Charles
- Disha
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The Correct Option is D
Solution and Explanation
The correct answer is (D): Disha
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Question: 5
Object o5 was given to
Object o5 was given to
Updated On: Sep 13, 2024
- Disha
- Elise
- Amar
- Charles
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The Correct Option is B
Solution and Explanation
The correct answer is (B): Elise
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Question: 6
What BEST can be said about the distribution of object o1?
What BEST can be said about the distribution of object o1?
Updated On: Sep 13, 2024
- o1 was given to Disha
- o1 was given to Charles
- o1 was given to Charles, Disha, or Elise
- o1 was given to Charles or Disha
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The Correct Option is A
Solution and Explanation
The correct answer is (A): o1 was given to Disha
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