Maths Puzzle

Can you find out the remainder when 3^300 is divided by 5?




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A rubber ball keeps on bouncing back to 2/3 of the height from which it is dropped. Can you calculate the fraction of its original height that the ball will bounce after it is dropped and it has bounced four times without any hindrance ?

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When his friend asked him for a change, he could not give change for a rupee and five paisa.

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One evening there was a murder in the home of a married couple, their son and daughter. One of these four people murdered one of the others. One of the members of the family witnessed the crime.

The other one helped the murderer.

These are the things we know for sure:

1. The witness and the one who helped the murderer were not of the same sex.

2. The oldest person and the witness were not of the same sex.

3. The youngest person and the victim were not of the same sex.

4. The one who helped the murderer was older than the victim.

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6. The murderer was not the youngest member of the family.

Who was the murderer?

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The more you take me, the more you leave me behind.
Who Am I?

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