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Clean Power Research Interview Puzzle #1 - Popular Probability Brain Teaser

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Kangwa, Rafael and Ferdinand plans for gun fighting.
They each get a gun and take turns shooting at each other until only one person is left.

History suggest
Kangwa hits his shot 1/3 of the time, gets to shoot first.
Rafael, hits his shot 2/3 of the time, gets to shoot next if still living.
Ferdinand having perfect record at shooting(100% accuracy) shoots last , if alive.

The cycle repeats. If you are Kangwa, where should you shoot first for the highest chance of survival?

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Clean Power Research Interview Puzzle #2 - Tricky Time Measure Puzzle

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You have two strings whose only known property is that when you light one end of either string it takes exactly one hour to burn. The rate at which the strings will burn is completely random and each string is different.

How do you measure 45 minutes?

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Clean Power Research Interview Puzzle #3 - Brain Teasing Statement

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Britney tells truth only once a week. Below are a few hints for you:

First Hint: Days are Sunday, Monday and so on.
Second Hint: One day she says that she lies on Monday and Tuesday.
Third Hint: On the next day she says, 'Today is either Thursday, Saturday or Sunday'.
Fourth Hint: On the next day, she says that she lies on Wednesday and Friday.

Can you find out on which day does Britney speaks truth ?

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Clean Power Research Interview Puzzle #4 - Tricky Maths Riddle

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Hockey Stick and ball cost $50. If the Stick cost $49 more than the ball.

what is the cost of each ?

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Clean Power Research Interview Puzzle #5 - Trick Interesting Maths puzzle

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There are three cars in a racing track. The track is made forming a perfect circle and is quite wide so that at one time, multiple cars can pass through it. The car which is leading is driving at 55 MPH and the slowest car is driving at 45 MPH. The car that is in middle of these two is driving in between the two speeds. For the time being you can say that the distance between the fastest car and the middle car is x miles and it is same between the middle car and the slowest car. Also, x is not equal to 0 or 1.

The car keeps running till the leading car catches up with the slowest car and then every car stops. Given the case, do you think that at any point, the distance between any two pairs will again become x miles?

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