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You need to divide 50 marbles(25-red and 25-blue) into two boxes such that the probability of picking red marble is maximized.

Following conditions need to hold true :

1. None of box is empty

2. All the marbles must be in one of two boxes.
**category** :
LOGIC

Following conditions need to hold true :

1. None of box is empty

2. All the marbles must be in one of two boxes.

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The digits 0-9(0,1,2,3,4,5,6,7,8,9) can be rearranged into 3628800 distinct 10 digits numbers.

How many of these numbers are prime ?

How many of these numbers are prime ?

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One evening there was a murder in the home of 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.

5. The father was the oldest member of the family.

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

Who was the murderer?

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.

5. The father was the oldest member of the family.

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

Who was the murderer?

Difficulty Popularity

100 cowboys are standing in a circle and are numbered from number 1 to 100. A deadly game is created in which the first person will shoot the next person (i.e.second person) and then need to pass the gun to the next person (i.e. Third person) and he will shoot the person to the next. This game will continue until one cowboy stays alive.

Which cowboy will survive at the end?

**category** :
LOGIC

Which cowboy will survive at the end?

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100 people are standing in a circle. The person standing at number 1 is having a sword. He kills the person next to him with the sword and then gives the sword to the third person. This process is carried out till there is just one person left.

Can you find out who survives?

Can you find out who survives?

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Difficulty Popularity

Difficulty Popularity

Birbal is a witty trader who trade of a mystical fruit grown far in north. He travels from one place to another with three sacks which can hold 30 fruits each. None of the sack can hold more than 30 fruits. On his way, he has to pass through thirty check points and at each check point, he has to give one fruit for each sack to the authorities.

How many mystical fruits remain after he goes through all the thirty check points?

How many mystical fruits remain after he goes through all the thirty check points?

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Difficulty Popularity

Difficulty Popularity

In a bowl, there are several chits with distinct numbers on them. You have to choose any two of them at random.

Will you accept the 2 to 1 bet that the numbers will be relatively prime will you accept it?

For instance:

If the numbers you pick are 6 and 13, you lose $1.

If the numbers you pick are 5 and 25, you win $2.
**category** :
LOGIC

Will you accept the 2 to 1 bet that the numbers will be relatively prime will you accept it?

For instance:

If the numbers you pick are 6 and 13, you lose $1.

If the numbers you pick are 5 and 25, you win $2.

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