king invited mr helen to visit the palce. and he promised him to give each day he coming to the palace same day gram gold ring he gave. eg. 25 th day he coming he gave 25 gram ring. the gold smith make 5 ring. how is the each ring
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# Answer - 1,2,4,8,16 grams
# Solution-
We want to create the numbers from 1-31 by adding up only 5 numbers.
We can do this by making 5 rings of 1,2,4,8,16 grams each so that all combinations from 1-31 can be formed.
1=1
2=2
3=1+2
4=4
5=4+1
6=4+2
7=4+2+1
8=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=16
17=16+1
18=16+2
19=16+2+1
20=16+4
21=16+4+1
22=16+4+2
23=16+4+2+3
24=16+8
25=16+8+1
26=16+8+2
27=16+8+2+1
28=16+8+4
29=16+8+4+1
30=16+8+4+2
31=16+8+4+2+1
1,2,4,8,16 gram rings are made.
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