Hard Series

What is the next number in this series?

4,12,84,3612....




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I am eight letters long - "12345678"
My 1234 is an atmospheric condition.
My 34567 supports a plant.
My 4567 is too appropriate.
My 45 is a friendly thank-you.
My 678 is a man's name.

What word am I?

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What numbers should go on the bottom line?
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? ? ? ?

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During an experiment, a guy throws a bouncy ball from a 100 feet tall building. The ball has a specific characteristic. Every time it hits the ground, it bounces up halfway.

How many bounces do you think the ball will make before it comes to a stop ?

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John is a strange liar.

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He made the following statements on three successive days:

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On which day does John tell the truth?

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What is the four-digit number in which the first digit is one-third the second, the third is the sum of the first two, and the last is three times the second?

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Three doctors said that Bill was their brother. Bill says he has no brothers. How many brothers does Bill actually have?

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A lion and its tamer are standing inside a cage that measures 1 unit in radius. Both of them can effortlessly run at the speed of 1 unit maximum.

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There was a minor accident with a doctor's son but the doctor noticed no major injury. After the treatment, the father of that doctors son is sitting with the son of the doctor without the doctor being in the room.

How can this be possible?

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In an office's desk, you find a unique method that shows the current day of the month. Two numbered cubes are used to depict the current date.

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Please note that you have to use both the cubes to display any date. Thus the 1st day must be represented by 01 and so on.

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Amazing Facts

Gamers

In 2011, people playing Foldit, an online puzzle game about protein folding, resolved the structure of an enzyme that causes an Aids-like disease in monkeys. Researchers had been working on the problem for 13 years. The gamers solved it in three weeks.