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Daptiv Interview Puzzle #1 - Simple Gallon Puzzle

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We have two buckets of 3 liter and 5 liter.

Assuming there is an infinite supply of water , how can i measure 1 liter water ?

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Daptiv Interview Puzzle #2 - Popular Dice Probability Riddle

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You roll two six sided dices together.

Can you calculate the probability that the first dice gives the number 2 while the second dice gives the number 5?

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Daptiv Interview Puzzle #3 - Maths IES Brain Teaser

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A thief is running after stealing two gold bars from an ancient and sacred temple. The villagers see him running and runs after him. While running, he comes across a rope bridge. There is a warning board on the start of the bridge stating that the rope can only accommodate a weight of 130 pounds.

Now the thief weighs 100 pounds and the gold bars weigh 20 pounds each. But ignoring the warning he just crosses the bridge with both gold bars. He manages to cross safely. How?

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Daptiv Interview Puzzle #4 - Fake Coin Brain Teaser

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In front of you, there are 9 coins. They all look absolutely identical, but one of the coins is fake. However, you know that the fake coin is lighter than the rest, and in front of you is a balance scale. What is the least number of weightings you can use to find the counterfeit coin?

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Daptiv Interview Puzzle #5 - Interview Marble Logic Puzzle

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You are given a set of scales and 12 marbles. The scales are of the old balance variety. That is, a small dish hangs from each end of a rod that is balanced in the middle. The device enables you to conclude either that the contents of the dishes weigh the same or that the dish that falls lower has heavier contents than the other.
The 12 marbles appear to be identical. In fact, 11 of them are identical, and one is of a different weight. Your task is to identify the unusual marble and discard it. You are allowed to use the scales three times if you wish, but no more.

Note that the unusual marble may be heavier or lighter than the others. You are asked to both identify it and determine whether it is heavy or light.

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