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Group Endeavor (Posted on 2013-01-29) Difficulty: 3 of 5
Consider Groups I and II consisting of positive integers from 1 to 7, where:
Group I = {1,2,4,7} and, Group II = {3,5,6}
It is observed that the sum of any two numbers of either group is either greater than the largest number or is in the other group.

For example, 1 and 2 belong to the first group whose sum (3) belongs to the second group. Also, 3 and 5 belong to the second group, whose sum (8) is greater than the largest number (6) in the second group.

Can you come up with arrangement of the first eight positive integers, that is from 1 to 8 inclusively, that satisfies the same two properties?

No Solution Yet Submitted by K Sengupta    
Rating: 1.5000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: POSSIBLE INTERPRETATIONCharlie2013-01-30 13:33:59
Some ThoughtsPOSSIBLE INTERPRETATIONAdy TZIDON2013-01-30 12:16:11
re(2): additional possibilities...LIST THEMCharlie2013-01-30 10:44:07
re: additional possibilities...LIST THEMCharlie2013-01-30 09:49:51
Hints/Tipsadditional possibilities...LIST THEMAdy TZIDON2013-01-30 06:22:21
Solutionone word answerAdy TZIDON2013-01-29 16:06:01
SolutionDeductions and a careful reading.Jer2013-01-29 15:12:40
Some ThoughtsIs it this simple? (spoiler)Steve Herman2013-01-29 14:41:55
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