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> Just Math (1)> Science> Algorithms
N is a 6-digit positive integer whose product of the digits is 2520.
What is the probability that the sum of the digits of N is a perfect square?

(No Solution Yet, 0 Comments) Submitted on 2015-09-03 by K Sengupta   
Prove that at any time there are two opposite points along the Equator, which have exactly the same temperature. Assume the temperature function varies continuously as you move along the Equator.

Counterargument: This is patently impossible. If there are such points on the Equator, there must also be similar points on any circle around the Earth, such as a meridian. But in that case, we'd have one point in the north hemisphere, in winter, and the other in the south, in summer; that doesn't make sense!

What's wrong with this reasoning?

(Solution Posted, 12 Comments) Submitted on 2005-03-27 by Old Original Oskar!   
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