Braingle: 'True or False' Brain Teaser

True or False

Logic puzzles require you to think. You will have to be logical in your reasoning.

Puzzle ID:	#38874
Fun:	(2.24)
Difficulty:	(2.8)
Category:	Logic
Submitted By:	shenqiang

Choose true or false to these statements, and your choices must be consistent.

1. You chose "True" at most once.
2. You chose "False" at most once.
3. You chose "True" at most twice.
4. You chose "False" at most twice.
5. You chose "True" at most three times.
6. You chose "False" at most three times.
7. You chose "True" at most four times.
8. You chose "False" at most four times.
9. You chose "True" at most five times.
10. You chose "False" at most five times.

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Comments

Crazycriely Oct 21, 2007	This is wrong if 5 and 7 were both right...there'd be "at most 3 AND at most 4" true statements
rngr4christ Oct 21, 2007	I was confused from get go. great teaser.
MACK52 Oct 21, 2007	I don't see your logic? The only way I can justify the statements is 1 is true the rest false. If as you say 5+7+9 true rest false you can't have 7+9 true as that makes three trues and seven falses which cancels 7+9
rehtaeh Oct 22, 2007	stares blankly I don't get it
calmsavior Oct 23, 2007	It says "AT MOST", not "EXACTLY", hence at can be anything, but AT MOST it has to be a certain value.
calmsavior Oct 23, 2007	If it says 'You chose "True" at most twice.' then it could be once, twice, or none at all.
dreamlvr1432 Oct 28, 2007	When the instructions said "Choose true or false to these statements, and your answers must be consistent", I took that to mean it had to be the same to every question, consitently true OR consistently false..which would make the answer false. Was not aware that you were looking to find which particular ones were true or false. The instructions are not clear in that respect.
(user deleted) Nov 07, 2007	False to all of them.
rt1819 Nov 11, 2007	I am sorry, but that was too complicated! Teasers are supposed to be fun, that is the point!
scallio Dec 11, 2007	Well, I had fun AND got the correct answer! I do have to admit though that I found myself wondering what you meant by the answers needing to be consistent. Perhaps it should have said "your answers must be accurate". Anyway, I still figured it out and enjoyed myself along the way.
shenqiang Dec 11, 2007	"Consistent" is opposed to "contradictory".
WCCope Dec 27, 2007	consistent in this case means one answer can't change the value of another, or if it does you must change all the values until they are all correct at the same time.
ana_virt Jun 03, 2008	What about this: I simply choose "false" for all the statements. Therefore, I've got ten falses, and obviously none of the stataments is true!
Jota Jul 10, 2008	Great teaser! You can't choose false for each statement because then you would have chosen true zero times and therefore statements 1,3,5,7,9 should all be true. As a previous comment stated, "at most five times" means 0, 1, 2, 3, 4, or 5 times.