All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Cherry picking (Posted on 2006-06-17)
Out of a quite large set of random integer numbers, I selected only those that were multiples of M or N, and rejected the rest. In the resulting (obviously smaller) subset, 50% of the numbers were multiples of N. Curiously, M wasn't 50% of N.

What is the minimum possible pair of values for M and N? The next such pair? Are there infinite possible such pairs?

PS. If you don't know the reason for the "Cherry picking" title, check this reference or this other one.

PPS. And if "a quite large set" of numbers doesn't satisfy you, imagine an infinite set, with every possible integer.

 See The Solution Submitted by Federico Kereki Rating: 4.7500 (4 votes)

 Subject Author Date answer K Sengupta 2008-02-06 05:36:29 Answer e.g. 2006-06-17 22:09:05 More values and a proof Steve Herman 2006-06-17 14:46:40 Solution Tristan 2006-06-17 10:51:16

 Search: Search body:
Forums (0)