Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ways?

You have two buckets - one holds exactly 5 gallons and the other 3 gallons. How can you measure 4 gallons of water into the 5 gallon bucket?

(Assume you have an unlimited supply of water and that there are no measurement markings of any kind on the buckets.)

If there are fifteen crows on a fence and the farmer shoots a third of them, how many crows are left?

I look at you, you look at me I raise my right, you raise your left. What am I?

In the below-given picture of a pretty girl, there is something wrong. Can you find out what it is?

Can you count the number of quadrilaterals in the picture below?

81 x 9 = 801. What must you do to make the this equation true?

Replace the 'X' with any mathematical symbol to make the expression equal to 111.

18 X 12 X 2 X 3 = 111

A man has a barrel filled with oil that weighs 100 pounds, and then he puts something into it. Now the barrel weighs less than 100 pounds. What did he put in the barrel?

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?