All Puzzles

• Given a fleet of 50 trucks, each with a full fuel tank and a range of 100 miles, how far can you deliver a payload? You can transfer the payload from truck to truck, and you can transfer fuel from truck to truck. Assume all the payload will fit in one truck.

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• There are two bottles of 10 liter; each completely filled with water. Now 2 persons having empty bottles of 4 liter and 5 liter want to take 2-2 liters of water. You can use only these 4 bottles (10 liter-full, 10 liter-full, 5 liter-empty, 4 liter-empty) to transfer the water. Wasting or throwing of water is not permitted. How can this be done?

Note: It is assumed that you can not measure water level by comparing water level, or by judging, it should be exact 2 liters of water finally in each 4 and 5 liter water bottle.

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• There are 10 black socks and 10 white socks in a drawer.
Now you have to go out wearing your shoes.
So how many maximum number of times you need to remove the sock from drawer so that you can go out?
You can remove only 1 sock at a time.
Obviously, you can’t go outside wearing different socks!

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• There is a drum full of milk, people come for buying milk in the range of 1-40 litres. You can have only 4 cans to draw milk out of drum. tell me what should be the measurement of these four cans so that you can measure any amount of milk in the range of 1-40 litres.

Note: We can use one container only once.

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• On a circle there are 2014 light bulbs, 2 are ON, and 2012 are OFF. You can choose any bulb and change the neighbor’s state from ON to OFF or from OFF to ON. Doing so, can we get all 2014 light bulbs on ? If yes, How?

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• There is a one person who have two numbers, he tells sum to the person S and product of those numbers to P.

Now there is this conversion between S and P.

S: I don’t know what are the numbers.

P: I also don’t know what are the numbers.

S: Now i know what are the numbers.

P: Now i also know what are the numbers.

Assuming S and P to be very wise and good in mathematics, What are those two numbers?
Note: Numbers are greater than 0.

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• 100 people standing in a circle in an order 1 to 100. No.1 has a sword. He kills next person (i.e. no. 2) and gives sword to next to next (i.e no.3). All person does the same until only 1 survives. Which number survives at the last?

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• There are (n+1) people in a party, they might or might not know each others names.

There is one celebrity in the group(total n +1 people), celebrity does not know any of n peoples by name and all n people know celebrity by name.

You are given the list of people’s names(n+1), You can ask only one question from the people. Do you know this name ?

How many maximum number of questions you need to ask to know the celebrity name?

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• You’ve got someone working for you for seven days and a gold bar to pay him. The gold bar is segmented into seven connected pieces.

You must give them a piece of gold at the end of every day.

What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day?

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