Question

Divide 40 kg mass into 4 piece such that you can weigh from 1 to 40 kg from those 4 masses

Answer 1

1,19,2,18?

Answer 2

what's the right answer?

Answer 3

ans to nahi pata to he post kara he lekin 1,2,19,18 nahi he

Answer 4

ho bhi nahi sakta?

Answer 5

?? right or wrong?

Answer 6

it's wrong..

Answer 7

i am not really understand wat the question want >.>

Answer 8

himanshu explain the question..

Answer 9

yaar 40kg ka weight ko 4 piece me torna he jisse 1kg se 40 kg ke sabhi mass 1 ya 1 se jada piece ka use karke sabhe ko weigh karna he

Answer 10

1,3,9,27

Answer 11

hmm don't think this is right either.

Answer 12

i assure u it is. the problem is an old one from Bachet's 'Problems plaisants et delectables'

Answer 13

well then tell me how with this combination u can get a weight of 2,5,7,8....... ?

Answer 14

you have a point there, the version i remember did not place a restriction of 4 weights to the solution.

Answer 15

ya i guess this restriction is just the problem here

Answer 16

You can weigh a 2 by putting a three on one side, and a one on the other. Ditto for 5 (9 vs 3+1)

Answer 17

It's an old problem from pre revolution France. The conventional way of thinking was that the mass being weighed on the balance had to be measured with a number of the weights on the opposite side. The solution here is to realise that you can also add weights to the side being weighed. So 1 is weighed conventionally but 2 is weighed with a 3 on one side and a 1 being added to the side being weighed, etc
1, 1
2, 3, -1
3, 3
4,3,1
5,9,-3,-1
6,9,-3
7,9,1,-3
8,9,-1
9,9

Answer 18

1,3,9,27....is right