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

Home > Numbers
d1 or more ? (Posted on 2016-03-07) Difficulty: 1 of 5
A problem from the 2004 Harvard-MIT Math Tournament:

Zach chooses five numbers from the set {1, 2, 3, 4, 5, 6, 7} and tells their product to Claudia. She finds that this is not enough information to tell whether the sum of Zach’s numbers is even or odd. What is the product that Zach tells Claudia?

I believe it is a d1 puzzle.

Are you on my side?

See The Solution Submitted by Ady TZIDON    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips re: Why I'm with Ady Comment 4 of 4 |
(In reply to Why I'm with Ady by Jer)

The process described by Jer is exactly what I have experienced.

I believe it took me less than 20 seconds:

Anyone used to fiddle with numbers( including myself) knows that 2*6 and 4*3 are the only sample within the nine non-zero digits of of two distinct couples (a,b) & (c,d) that produce   the same result when multiplied, and in the same time  the sums have opposite parities.

Thus it boils down to mentally evaluate 1*5*7*12=60*7=420.

I estimate that I've spent over 5 min. trying to justify myself by typing the above..

But, to quote Jer, it was a TOURNAMENT (sic!) question! 

  Posted by Ady TZIDON on 2016-03-07 12:08:41
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information