math quiz

soild79 SG

I have a question and i hope some of u can provide me with an ans/Algorithm:

There are 10 bottles of pill where each bottle contains 100 pills in it. Each pill weighs 1g however there is one defect bottle whereby all the pills weighs only 0.9g.
By using an Electronic weighing machine, how to detect the defective bottle.

Rolling Eyes

CoolMyth SG

Read Young Kindaichi vol 9. Laughing

fudgester SG

Split into two groups of five bottles.

Weigh both groups. Take the group that has the smaller total mass.

Then weigh the five bottles one by one. The bottle with the smallest mass is the defective bottle.

Of course, you can just weigh all ten bottles one at a time, but this method is faster.

hisoka SG

1st bottle take 0 pills,

2nd bottle take 1 pill,

3rd bottle take 2 pills,

etc.

the go and weigh them all together. if it .1g less than 9 g then its the 2nd bottle and so on.

btw hor, i think you mean only can weigh once. if not just weigh individually lor.

gd4u SG

Y dun u take 1 pill from each bottle ??

CoolMyth SG

Then you dun know which bottle that dud pill came from mah. Laughing

hisoka SG

then how you knwo which pill isit? if only can take one weighing that is

soild79 SG

Yes hor, i think only can weigh once.

Can u elaborate more....sorri..dun get it. Embarassed

hisoka SG

erm basically as i said lor.

first do as i said. so if the 2nd bottle is the one, then the weight of the pills will be 1* 0.9 + 2*1 +3*1 +...+9*1

if its the 3rd then the weight will be 1+2*0.9+3+....+9

and so on.

if its the 1st then the weight will have no decimals.

basically to see easily if its the 1st the weight is a integer, 2nd, the weight will be with a decimal of .9, etc

soild79 SG

I get it .. can we just use the whole bottle until we see a weight with decimal instead of individual pill

hisoka SG

can also bah. up to you. you can start by taking out 1 pill from the first bottle also. once you get the idea can change around if oyu want

soild79 SG

Thanks pal Laughing

stem_-_daimyou_asobi_hen SG

+1 Laughing