Weighing All

What four weights can be used to balance from 1 to 30 pounds?




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When a clock is observed, the hour hand is at a minute mark and the minutes hand is six minutes ahead of it.

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In the addition below, all digits have been replaced by letters. Equal letters represent equal digits and different letters represent different digits.
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------- +
AAFGBDH
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Two natural numbers have a sum of less than 100 and are greater than one.

John knows the product of the numbers and Jacob knows the sum of numbers.

The following conversation takes place between them:
John: 'I am not aware of those numbers.'
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John: 'Now I know them!'
Jacob: 'Now I know them, too!'

What are the two numbers?

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Artificial Intelligence

Artificial Intelligence has crushed all human records in the puzzle game “2048,” achieving a high score of 839,732 and beating the game in only 973 moves without using any undo.