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Mr. Bean leaves from place $A$ with 3 sacks that each contains 30 watermelons. He comes across 30 tolls till he reaches place $B$. At every toll, Mr. Bean has to give 1 watermelon as toll for each non-empty sack with watermelons.

How many watermelons are left with Mr. Bean at place $B$?

Hint:

The answer is not 0.

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  • $\begingroup$ Down voters would like to comment? $\endgroup$
    – Mox Shah
    Apr 7, 2015 at 10:48
  • $\begingroup$ Mr Bean is famous for being an idiot. It would be very unlike him to employ an optimal strategy, and since we're not told that he does this doesn't have a unique correct answer. $\endgroup$ Feb 6, 2016 at 17:52

1 Answer 1

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The answer is

25

Calculation

first 10 tolls 30 melons, next 15 tolls 30 more melons next 5 tolls 5 more
90 - 30 - 30 - 5
First 10 tolls he has 3 sacks so 10 tolls x 3, now he is left with 2 sacks
Next 15 tolls, he as 2 sacks si 15 tolls x 2, and he is left with 1 sack with 30 melons and 5 tolls to cross

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    $\begingroup$ I think he could have any number between 0 and your answer, depending on his payment strategy. $\endgroup$
    – Hellion
    Apr 7, 2015 at 17:43
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    $\begingroup$ @Hellion I was helping Mr Bean minimize his toll tax. $\endgroup$
    – Mohit Jain
    Apr 7, 2015 at 18:45
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    $\begingroup$ If I had to lug 90 watermelons about, I'd want to get rid of them as quickly as possible. :-) $\endgroup$
    – Hellion
    Apr 7, 2015 at 18:47
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    $\begingroup$ Also note that he can eat two watermelons on the journey, and still arrive with the same number. $\endgroup$
    – Joffan
    Apr 7, 2015 at 20:21

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