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 them 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

8 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 2 : The box labelled ‘Apples and Oranges’

[ alt="F1 Sumit Madhu 13.12.2019 D2" src="//storage.googleapis.com/tb-img/production/19/12/F1_Sumit_Madhu_13.12.2019_D2.png" style="width: 337px; height: 108px;">

So according to the question there are 3 boxes and all are incorrectly labelled.

→ We have to choose only one box and inspect one fruit & determine the contents of all three boxes.

→ Here two things are important to notice that labels are incorrect and we can only inspect one fruit from any of the one box.

→ So we will take into consideration the box which is labelled as apples and oranges

As it is incorrectly labelled so there will be only apples or only oranges so lets assume that we got apples.

[ alt="F1 Sumit Madhu 13.12.2019 D6" src="//storage.googleapis.com/tb-img/production/19/12/F1_Sumit_Madhu_13.12.2019_D6.png" style="width: 515px; height: 84px;">

so the box on which oranges label is attached will have apples and oranges both in it because in the question it is mentioned that they are incorrectly labelled.

if (apples and orange) will be in the box labelled as apples then only one fruit orange and one label orange is remaining and they cannot be on same box.

Hence orange will be in the box labelled as apple.

Hence when we will choose the box labelled as apple and oranges we will be able to determine the content of all 3 boxes.

Similarly if in the beginning if we assume oranges we wiil be able to determine the contents of every box too but the arrangement will be in the following way

[ alt="F1 Sumit Madhu 13.12.2019 D7" src="//storage.googleapis.com/tb-img/production/19/12/F1_Sumit_Madhu_13.12.2019_D7.png" style="width: 515px; height: 84px;">

8 views Answered 2022-09-04 04:29

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