Can you prove this

Oct 31 = Dec 25..

Measuring Oil

A boy went to an oil shop to buy oil with two bottles. One bottle of 5lts and the other of 3lts. Unfortunately the shop keeper didn't have the measuring vessel. The boy wanted 4lts of oil. How can the 4lts be measured using the bottles in the hand of the boy ?

Arrange the Pebbles

A man had 1000 pebbles. These pebbles where given to him by his son for safe custody. The man planned to keep the pebbles in 10 bags and mark the number of pebbles in it, on the bag. He wants to fill the 10 bags so that if his sons asks for any number of pebbles randomly from 1 to 1000, he can return without opening the bags. How can the man arrange the number of pebbles in each bag to meet the requirement?

Can you solve this

One for the clever people!
Please look at the math below: They say only people with an IQ with 120 and over are able to figure this out (?)
 
If:
2 + 3 = 10 
7 + 2 = 63
6 + 5 = 66
8 + 4 = 96
 
Then:
 
9 + 7 = ????

Find the numbers

Which are the lowest and highest nine digit perfect squares that include all the numbers from one to nine without the repetition of any number?

Pure

Two vessals contains equal amount of water and beer. 1spoon beer is added to water and mixed well. From this mixture 1 spoon is added to beer. Which of the liquids is more pure ?

Find the number

Which is the smallest number, with which if you divide by 10 you get 9 as reminder, divide by 9 you get 8 as reminder, divide by 8 you get 7 as reminder and likewise upto if you divide by 2 you get 1 as reminder ?

Swap Multiplication

There are certain numbers, if you swap its digits and multiply will give the same result as the product of the numbers

The Will

Once upon a time there was a kingdom called Somapuri where lived a rich old man called Somaduttan. He had three sons who were more inclined to their fathers wealth. Somaduttan had seventeen elephants. During his last hours. He called all of his three sons and made his will.