Question

Take a break and solve this puzzle..

A king asks a learned man to visit his palace. The man says I will come any day next month. But give me gold in gms equal to the date on which I come. The king asks the jeweler to make rings of 1 to 31 gms. The jeweler was smart and makes only 5 rings. What was the weights of those rings?

Answer 1

the weight of the jewelery is 6 grams

Answer 2

the weights of 5 rings are:

1, 2, 4, 8, 16 grams

Using these combination of 5 type of weights you can reward 1-31 grams in weight to the wise man.

Example:

If wise man visit on 3rd day, you can give him ring with 1 & 2 grams. 
If wise man visit on 15th day, you can give him ring with 1, 2, 4, 8 grams. 
If wise man visit on 30th day, you can give him ring with 2, 4, 8, 16 grams.

You can do this for all possible number of days.