⚡ Build the skills to land top-paying quant jobs. Offer ends in --d --h --m --s-- days -- hours -- minutes -- seconds.
⚡ Build the skills to land top-paying quant jobs. Offer ends in 19d 08h 35m 26s19 days 8 hours 35 minutes 26 seconds.
You are given coins which look identical. Some of them are pure gold coins (hence heavy) and the rest are aluminium coins with thin gold plating (light). All gold coins have equal weights, and all fake coins have equal weights too. You know that at least one coin is fake, but not how many of the coins are gold.
You are given one beam balance with two pans. In each weighing you may put any coins you like on the two pans, and the balance tells you which side is heavier or that the two sides balance.
Is it always possible to determine exactly how many of the coins are gold using at most weighings?