Question

A super MATH riddle!

You can place weights on both side of weighing balance and you need to measure all weights between 1 and 1000. For example if you have weights 1 and 3,now you can measure 1,3 and 4 like earlier case, and also you can measure 2,by placing 3 on one side and 1 on the side which contain the substance to be weighed. So question again is how many minimum weights and of what denominations you need to measure all weights from 1kg to 1000kg.

Answer 1

Here is the first, @theawesome

Answer 2

Sir, please try it!

Answer 3

Please try it.

Answer 4

@nubeer

Answer 5

I give up. Cant do it!

Answer 6

what earlier case?

Answer 7

Each weight has three possible states:

1) On the left
2) On the right
3) Off the scale

Please consider powers of 3 as a complete solution.

Answer 8

1, 3, 9, 27, 81, 243, 729
, GP... ? right?

Answer 9

729+243+81 > 1000 -- I think you have it.