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?

The box labelled ‘Apples’
The box labelled ‘Apples and Oranges’
The box labelled ‘Oranges’
Cannot be determined

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 2 : The box labelled ‘Apples and Oranges’

There are three boxes labelled as apples, oranges and both apples and oranges. All the boxes are incorrectly labelled.

Case 1: Let we open the box labelled with apples.

If the fruit inspected is orange, we can’t say it is the box with oranges or the box with both apples and oranges.

So, this case is not valid.

Case 2: Let we open the box labelled with oranges.

If the fruit inspected is apple, we can’t say it is the box with apples or the box with both apples and oranges.

So, this case is also not valid.

Case 3: Let we open the box labelled with both apples and oranges.

If the fruit inspected is apple, we can conclude that this box contains apples.

Now, the second box is labelled with orange, but it is incorrectly labelled. So, it can’t be orange and hence this box contains both apples and oranges.

Box 1 contains oranges.

So, we need to choose the third box which is labelled as both apples and oranges in order to determine the contents of all boxes.

4 views Answered 2022-09-04 04:29

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