Brain TeaserYou 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.

Question

Brain Teaser>>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.

mathmate · Answer

In fact, if you have the correct number of weights, you can measure from 1 to 1013 kg, in one kg increments.

brainzonly · Answer

Thanks!

brainzonly · Answer

figured it out For this answer is 3^0, 3^1, 3^2... That is 1,3,9,27,81,243 and 729.