Product of labels


There are 5 bags labeled 1 to 5. All the coins in a given bag have the
same weight. Some bags have coins of weight 10 gm, others have coins of
weight 11 gm. I pick 1, 2, 4, 8, 16 coins respectively from bags 1 to 5.
Their total weight comes out to 323 gm. Then the product of the labels
of the bags having 11 gm coins is ___.


let no. of 10 gms coin be x and no. of 11 gms coins be y.

x+y= 1+2+4+8+16=31

on solving above two, y=13 x=18
therefore 11gms coins y=31 we get by 1+4+8,
multiplying their labels, we get 134=12

Ans- 12