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The 25 Horses

Hard · Brainteasers · Quant Trader interview question · sorting, algorithms, optimization

You need to identify the top performing assets in a high-frequency environment. You have 25 "horses" and a track that can race only 5 horses at a time. You do not have a stopwatch (you only know the relative order of finish 1st through 5th). What is the minimum number of races required to identify the fastest 3 horses?