# King, Man, Jeweller and the Gold Puzzle

***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?

Think well before checking the solution.

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Remember this Mathematics Trick.

**n consecutive powers of 2 will give all the numbers till 2^(n+1) -1.**

powers of 2 are

- 2^0 = 1 ,
- 2^1 = 2 ,
- 2^2 =4 ,
- 2 ^3 = 8 ,
- 2^4 = 16,
- 2^5 = 32

Lets take 8 which is ( 2 ^ 3[n+1] ) so with 2s power till 2(n) we should get all numbers till 8-1 = 7.

**7 = 2^2 + 2^1 + 2^0****6 = 2^2 + 2^1****5 = 2^2+ 1****4=2^2****3 = 2^1 +1****2 = 2^1****1= 2^0**

Similarly, 32 is 2 ^ 5.

so 2s power of 0,1,2,3,4 will give all numbers till 31.

so the answer is 1,2,4,8,16.

Please comment your approach as well below

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14k gold 4 band KING gold ring. He asked his jeweler to make a puzzle ring for his wife that would fall apart when removed, and he would not tell her the solution.