Solve the Series

Solve the following series:
AZ, GT, MN, __, YB




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I am a prime number.
The double of myself is equal to the square of me.

which number am I?

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What does below science rebus mean?

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Ag SPOON Ag
Ag Ag Ag

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We have four gears with below features=> Both Gear A and D has 60 teeth=> Gear B has 40 teeth=> Gear C has 20 teeth=> Every two minutes, Gear B makes 25 full turns.What is the relative speed of Gear A and Gear B?

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10 people came into a hotel with 9 rooms and each guest wanted his own room. The bellboy solved this problem.
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How can everybody have his own room?

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How did it happen?

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In the image below, you can see two glasses and two matchsticks.You need to move four matchsticks in such a manner that the crosses come inside the glasses. Note: you cannot move the crossed.

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There are three light switches outside a room. One of the switches is connected to a light bulb inside the room.
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The doctor advised his patient to take a tablet after every fifteen minutes. He gave him five tablets in total.

How much time will he take to have all the five tablets?

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A man was convicted of a minor offence in Akbar court. Akbar decided to give him a chance. He asked him to give a statement. If the statement is true, he will be killed by lions and if it is false, he will be killed by trampling of wild elephants.

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What did Birbal suggest to the person?

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Challenging

There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.