Oliver Wyman Interview Question
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Interview Question for Business Analyst at Oliver Wyman:
Nov 21, 2011
If I drink half of my 50cl bottle, then I give it to you and you drink half of the rest, then you hand it back to so that I can drink half of what remains, etc. until the bottle is empty... Eventually what will be the total quantities we each drank?
| Tags: | math, brainteaser, fractions, bottle See more , See less 8 |
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May 24, 2012
for any quantity, the first person gets 2/3, the other 1/3. Because of the 1/2. This could be proven with calculus, or it's pretty easy approximate in your head- you get 1/2 of 25, or 12.5, then the other person has 6.25, then you get 3.1, then they get 1.5, then you get .7. Stop there. You get 12.5 + 3.1 +0.7 or about 16.3 that's pretty obviously about 1/3 of 50. So the other tiny sips would get you there.
Fun problem, actually
Fun problem, actually
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by Interview Candidate:
Step 1: he drinks 100, you 50
Step 2: he drinks 25, you 12.5
etc.
At the end, he will have drunk 2 and you 1. Thus he drank 33.33 cl and you 16.66 cl