DB145 - 500 Pearls

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500 Pearls
Puzzle Number 145
Puzzle Name 500 Pearls
Picarats Given 70 Picarats
Type Write Answer
Location Layton's Challenges
Previous Puzzle DB144 - Super Pancakes
Next Puzzle DB146 - Angles in a Box

This is the one hundred and forty-fifth puzzle you will encounter in Professor Layton and the Diabolical Box. This puzzle can be accessed through Professor Layton's Challenges. In order to solve this puzzle, you must determine the number of pearls the traveler removed from the bag, satisfying all of the magician's conditions except for this number not being able to be divided by four after one pearl is removed.


[edit] Hints

Hint One
    Let's see if we can't simplify this one. The magician wants a number that can be divided neatly by a whole number when one pearl is taken away from the total.

    To get the number of pearls he's looking for, you need to find a number that can neatly be divided by all numbers two through seven, and then add one to the total.

Hint Two
    Now let's think about what the traveler actually brought back. To get his number, you must find a number that can be divided by two, three, five, six, and seven, but not four. Then add a single pearl to that number.

Hint Three
    The number the magician was after is greater than 400, but the number of pearls the adventurer brought back was actually in the range of 200 to 300 pearls.

    Remember, you're out to find the number of pearls the adventurer decided to bring back.

[edit] Messages

[edit] When Failed

Too bad!

This puzzle may seem like a pain to solve, but if you take the time to calculate everything, there's really nothing difficult about it. There are also ways to reduce the amount of calcluation you need to do.

[edit] When Completed


The answer is 211 pearls. The magician essentially asked for a value one more than a value that, when divided by any number two through seven, produces a whole number. Any of these numbers divides neatly into 420, so when one is added to it, you get the magician's number: 421.
The number of pearls the adventurer had is a number that's neatly divided by any number from two through seven, except four. Adding one to that gets you your answer.

[edit] Solution


The traveler removed 211 pearls from the bag.

[edit] Progress

4833 Picarats and 230 Hint Coins.

Last edited by Squiggle on 18 December 2015 at 21:09
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