Measure Time with Candle

There are two candles. Both will only burn exactly for an hour. How will you use these two candles to measure forty-five minutes?




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If 21x = 79x, what is the value of x?

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By using all numbers, i.e. 123456789 and subtraction/addition, operators number 100 can be formed in many ways.
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But if we add a condition use of the number 32 is a must. Then there are limited solutions.
One of such solution is: 9 - 8 + 76 + 54 - 32 + 1 = 100

Can you tell me any other solution?

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Solve below popular number sequence
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You have $100 with you and you have to buy 100 balls with it. 100 is the exact figure and you can't go below or above the numbers and you have to use the entire $100. If there is no kind of tax applied how many of each of the following balls will you be able to buy:

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Black Balls costing $0.10

Now, how many of each must you buy to fulfil the condition given?

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Find three whole, positive numbers that have the same answer when multiplied together as when added together.

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A rain drop fell from one leaf to another leaf and lost 1/4th of its volume. It then fell to another leaf and lost 1/5th of the volume. It again fell on another leaf and lost 1/5th of the volume.



This process kept repeating till it fell on the last leaf losing 1/75th of its volume.



Can you calculate the total percentage of loss from the initial volume when the drop has fallen to the last leaf accurate up to two decimal places?

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(You can use one number only once)

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Find three numbers such that When we multiply three numbers, we will get the prime numbers. The difference between the second and the first number is equal to the third and second.

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Jigsaw puzzles

Jigsaw puzzles soared in popularity during the great depression, as they provided a cheap, long-lasting, recyclable form of entertainment.