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Question: Seventy five years ago pharmacists weighed medicine on balances like the ones you have been using. The mass pieces were very expensive, so a pharmacist would buy as few mass pieces as possible. If a pharmacist had 1-g, 3-g, and 9-g mass pieces, he or she could weight out any number of grams from 1 g to 13 g. Show how could measure all of the masses from 1 g to 13 g using only the three mass pieces given?

Answer: Ya,he can measure..
Initially 2 gm wil be calculated by takin 3 gm and removin 1 gm using 1 gm mass..Then similarly,
2=3gm-1gm
4=3gm+1gm
5=9gm-(3gm+1gm)
6=9gm-3gm
7=(9gm+1gm)-3gm
8=9gm-1gm
10=9gm+1gm
11=(9gm+3gm)-1gm
12=9gm+3gm
13=9gm+3gm+1gm

Thus he can measure from 1-13 gms

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Question: Seventy five years ago pharmacists weighed medicine on balances like the ones you have been using. The mass pieces were very expensive, so a pharmacist would buy as few mass pieces as possible. If a pharmacist had 1-g, 3-g, and 9-g mass pieces, he or she could weight out any number of grams from 1 g to 13 g. Show how could measure all of the masses from 1 g to 13 g using only the three mass pieces given?

Answer:

Ya,he can measure..
Initially 2 gm wil be calculated by takin 3 gm and removin 1 gm using 1 gm mass..Then similarly,
2=3gm-1gm
4=3gm+1gm
5=9gm-(3gm+1gm)
6=9gm-3gm
7=(9gm+1gm)-3gm
8=9gm-1gm
10=9gm+1gm
11=(9gm+3gm)-1gm
12=9gm+3gm
13=9gm+3gm+1gm

Thus he can measure from 1-13 gms Source: CoolInterview.com

Answered by: Sandhya | Date: 12/22/2008 | Contact Sandhya Contact Sandhya

we have 1-g,3-g and 9-g
1=1-g
2=3g-1g
3=3g
4=3g+1g
5=9g-(3+1)g
6=9g-3g
7=9-(3-1)g
8=9g-1g
9=9g
10=9g+1g
11=9g+3g-1g
12=9g+3g
13=9g+3g+1g Source: CoolInterview.com

Answered by: nikhil kumar | Date: 12/23/2008 | Contact nikhil kumar Contact nikhil kumar


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