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There are three boxes. One contains apples, another contains oranges and the last one contains both apples and oranges. All three are known to be incorrectly labelled. If you are permitted to open just one box and then pull out and inspect only one fruit, which box would you open to determine the contents of all three boxes?
  • a)
    The box labelled "Apples‟
  • b)
    The box labelled "Apples and Oranges‟
  • c)
    The box labelled "Oranges‟
  • d)
    Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
There are three boxes. One contains apples, another contains oranges a...
The person who is opening the boxes, he knew that all 3 are marked wrong.
Suppose if 3 boxes are labelled as below.
If he inspected from Box(1), picked one fruit, found orange, then he don't know whether box contains oranges (or) both apples and oranges.
Similarly, if he picked one fruit from box(2), found apple then he don't know whether box contain apples (or) both apples and oranges.
But if he picked one fruit from box(3), i.e., labelled is “apples and oranges‟, if he found apple then he can decide compulsorily that box(3) contains apples and as he knew all boxes are labelled as incorrect, he can tell box(2) contains both apples and oranges, box(1) contain remaining oranges. So, he should open box labelled "Apples and Oranges‟ to determine contents of all the three boxes.
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Most Upvoted Answer
There are three boxes. One contains apples, another contains oranges a...
Explanation:

Reasoning:
- Since all three boxes are incorrectly labelled, we know that the box labelled "Apples and Oranges" cannot contain both fruits.
- If we open the box labelled "Apples" and find an apple, then that box must contain only apples.
- This means the box labelled "Oranges" must contain both fruits, as it cannot be oranges only.
- By process of elimination, we can conclude that the box labelled "Apples and Oranges" actually contains oranges.
Therefore, opening the box labelled "Apples and Oranges" and inspecting the fruit inside will allow us to determine the contents of all three boxes.
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There are three boxes. One contains apples, another contains oranges and the last one contains both apples and oranges. All three are known to be incorrectly labelled. If you are permitted to open just one box and then pull out and inspect only one fruit, which box would you open to determine the contents of all three boxes?a)The box labelled "Apples‟b)The box labelled "Apples and Oranges‟c)The box labelled "Oranges‟d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
Question Description
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