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Couple of logic puzzles..



Nibble

New member
Jan 3, 2007
19,238
That is tough, still thinking....
 










Yorkie

Sussex born and bred
Jul 5, 2003
32,367
dahn sarf
Poisoned ice cubes
 
















nail-Z

Well-known member
Jul 10, 2003
2,972
North Somerset
Here's another to mull over.

You have a set of balancing scales and 8 balls. 1 of the balls is heavier than the other 7.

What is in MINIMUM number of weighs required to guarantee you know which the heaviest ball is.
 




Yorkie

Sussex born and bred
Jul 5, 2003
32,367
dahn sarf
That's it. The ice cubes were still solid when our man drank the punch. They subsequently melted poisoning everyone else.

Thanks to Eric Potts for giving me the clue.
 


Nibble

New member
Jan 3, 2007
19,238
Here's another to mull over.

You have a set of balancing scales and 8 balls. 1 of the balls is heavier than the other 7.

What is in MINIMUM number of weighs required to guarantee you know which the heaviest ball is.


Bloody hell, errm...
 


Nibble

New member
Jan 3, 2007
19,238
Would it be one? If you have one weight in one scale and then place each ball in the other scale separately one at a time, would that tell you the heaviest ball?
 




Bozza

You can change this
Helpful Moderator
Jul 4, 2003
57,295
Back in Sussex
3 is the obvious answer...

Assume balls numbered 1 to 8 and, say, 6 is the heaviest.

weigh 1, 2, 3 and 4 against 5, 6, 7, 8. Discard 1-4

Weigh 5 and 6 against 7 and 8. Discard 7 and 8.

Weigh 5 against 6 and discover 6 is the heaviest.

But as 3 is the obvious answer I assume there is a cunning answer of 2.
 


nail-Z

Well-known member
Jul 10, 2003
2,972
North Somerset
Would it be one? If you have one weight in one scale and then place each ball in the other scale separately one at a time, would that tell you the heaviest ball?

No. Each time you replace a ball it counts as a weigh, so could require up to 7 tests.

It is possible to do it in 2 though.
 


Adam Virgo's Shirt

I took Adam's shirt off!
Oct 7, 2006
1,024
IOW ex Worthing
None because you can tell 'by feel' which is the heaviest when you pick them up?
 


Nibble

New member
Jan 3, 2007
19,238
It is a bit lost on me this, not good at thinking logically when figures are involved.
 






tedebear

Legal Alien
NSC Patron
Jul 7, 2003
17,105
In my computer
4 balls in one 4 balls in the other, discard the lightest lot, 2 balls in each, discard the lightest again, 1 ball in each discard the lightest...

3 weighs?
 


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