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

1,2,4,8,16
may be the answer because
if asked 1=1
2=2
3=1+2
4=4
5=4+1

………………
31=16+8+4+2+1
please mark it as brainliest

Answer 2

The only possiblity is 1, 2, 4, 8 and 16 grams.

We want to create the numbers from 1-31 by adding up only 5 numbers.

we do need 1.
we might need 2.
we can create 3 from 2 and 1. (1+2=3)
we cannot create 4 from 1 and 2 so we need to use 4.
we can create 5 from 1 and 4 (1+4)
etc.

if we repeat this we can arrive to the number 15 using only 1, 2, 4, 8

Now we can stop since we know that 16+15=31. That means we can create all remaining numbers from 17 to 31 by adding 16+ all the numbers from 1-15

1
2
3 (1+2)
4
5 (4+1)
6 (4+2)
7 (4+2+1)
8
9 (8+1)
10 (8+2)
11 (8+2+1)
12 (8+4)
13 (8+4+1)
14 (8+4+2)
15 (8+4+2+1)
16
17 (16+1)
18 (16+2)
31 (16+15) or (8+4+2+1)