Summon

Question:

A king asks a learned man to visit his palace, to which the learned man responds: “I will come some day next month, but I will not tell you on which day. Further, you must give me gold in grams equal to the date on which I come.” In preparation for the visit, the king demands that his jeweler make gold rings of 1 to 31 grams.

The wise jeweler made only 5 rings. What are their weights?

.

.

C

A

P

T

A

I

N

I

N

T

E

R

V

I

E

W

.

.

Solution: The weight of the 5 rings are 1, 2, 4, 8 and 16 grams.

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

For example:
For the 3rd day, you can give him the 1 and 2 gram rings.
For the 15th day, you can give him the 1, 2, 4, 8 gram rings.
For the 30th day, you can give him the 2, 4, 8, 16 grams.

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