The riddle thread - Page 9

bracer · 08-14-17, 01:24 PM

So, the squirrel king collected taxes from all the 10 squirrel districts in his kingdom!
The districts had to pay 1000 nuts each.
But the king heard a rumor that one of the districts cheated, and that they've eaten a small piece of each nut.
The only way to seperate a real nut from a chewed nut is to weigh it.
A whole nut weighs 20 grams, and a slightly chewed nut weighs 19,5 grams.

The squirrel king has a bathroom scale at his disposal, but it is expensive to use, so he wants to use it as few times as possible.
How many times does he have to use the scale to figure out who cheated?

Jimbuna · 08-14-17, 02:05 PM

Just the once.

bracer · 08-14-17, 03:40 PM

Once is correct!
But I'm sorry to say, that I need to know how he does it aswell!

Catfish · 08-15-17, 01:29 AM

10 districts.
The districts had to pay 1000 nuts each.
Makes 10.000 nuts.
20 grams per nut make 200000 grams, or 200 kilograms.

I am not sure how capable the king's bathromm scale is, but a scale for humans should be able to measure up to 200 kilogrms.

If a squirrel scale can only scale less, we have to divide the 200 kilograms through the scale's capability, to find out how often he has to use it.

Or not? I am easily fooled with mathematics

Or the question is wrong

Sean C · 08-15-17, 02:22 AM

Quote:

Originally Posted by bracer

Once is correct!
But I'm sorry to say, that I need to know how he does it aswell!

He places one nut from each district on the scale until the scale reads x,5. The last nut placed is from the district that cheated.

bracer · 08-15-17, 05:43 AM

Quote:

Originally Posted by Catfish

10 districts.
The districts had to pay 1000 nuts each.
Makes 10.000 nuts.
20 grams per nut make 200000 grams, or 200 kilograms.

I am not sure how capable the king's bathromm scale is, but a scale for humans should be able to measure up to 200 kilogrms.

If a squirrel scale can only scale less, we have to divide the 200 kilograms through the scale's capability, to find out how often he has to use it.

Or not? I am easily fooled with mathematics

Or the question is wrong

Yes, pardon my bad translation of the riddle from Swedish to English.
Anyway, yes, the scale is super sensitive (shows grams) and it can easily take 200 kg.

What we know is that he only needs to use it once, since Jimbuna guessed correct.
And we know, all of the nuts it will not weigh 200kg in total, since 1000 nuts only weigh 19,5 grams per nut!

I hope the question is clearer now! Ask if what!

bracer · 08-15-17, 05:45 AM

Quote:

Originally Posted by Nathaniel B.

He places one nut from each district on the scale until the scale reads x,5. The last nut placed is from the district that cheated.

That counts as alot of measurments.
Only once is needed!

Eichhörnchen · 08-15-17, 12:43 PM

Does he have to weigh himself during this?

bracer · 08-15-17, 02:17 PM

No, it is enough to weigh the nuts to figure out who cheated.

bracer · 08-16-17, 06:03 AM

One hint, and then I will present the solution tomorrow.

So the king sits there with ten bags of nuts from ten districts, they all weigh 20kg except one that weighs 19,5.
Weighing all the nuts just shows 199,5kg, and no clue to who cheated. Weighing less nuts but equal amount from each District doesn't help either.

So there is no point to put the same amount of nuts from each district on the scale.

Eichhörnchen · 08-16-17, 07:33 AM

I need to know this... after all I don't want anyone messing with my nuts either... but I just can't figure it out. Is it a trick answer or a real mathematical solution? I just don't know, but I am thinking hard about it

Sean C · 08-16-17, 07:38 AM

Oh, I get it. It's one time because the king takes two nuts from the first district, four from the second district and so on and puts the resulting 110 nuts on the scale at once. Depending on the weight, he can see who cheated:

2199 g and district 1 cheated
2198 g and district 2 cheated
2197 g and district 3 cheated
2196 g and district 4 cheated
2195 g and district 5 cheated
2194 g and district 6 cheated
2193 g and district 7 cheated
2192 g and district 8 cheated
2191 g and district 9 cheated
2190 g and district 10 cheated

Rockstar · 08-16-17, 09:42 AM

exit polls indicate we may have winner

bracer · 08-16-17, 02:46 PM

Quote:

Originally Posted by Nathaniel B.

Oh, I get it. It's one time because the king takes two nuts from the first district, four from the second district and so on and puts the resulting 110 nuts on the scale at once. Depending on the weight, he can see who cheated:

2199 g and district 1 cheated
2198 g and district 2 cheated
2197 g and district 3 cheated
2196 g and district 4 cheated
2195 g and district 5 cheated
2194 g and district 6 cheated
2193 g and district 7 cheated
2192 g and district 8 cheated
2191 g and district 9 cheated
2190 g and district 10 cheated

Excellent answer! And a bonus point for the solution to even the numbers!
Over to you

Eichhörnchen · 08-16-17, 04:30 PM

You're a genius, Nathaniel B.

08-14-17, 02:05 PM	#122
Jimbuna Chief of the Boat Join Date: Feb 2006 Location: 250 metres below the surface Posts: 184,161 Downloads: 63 Uploads: 13	Just the once. __________________ Wise men speak because they have something to say; Fools because they have to say something. Oh my God, not again!! GWX3.0 Download Page - Donation/instant access to GWX (Help SubSim)

08-15-17, 01:29 AM	#124
Catfish Dipped Squirrel Operative Join Date: Sep 2001 Location: ..where the ocean meets the sky Posts: 16,947 Downloads: 38 Uploads: 0	10 districts. The districts had to pay 1000 nuts each. Makes 10.000 nuts. 20 grams per nut make 200000 grams, or 200 kilograms. I am not sure how capable the king's bathromm scale is, but a scale for humans should be able to measure up to 200 kilogrms. If a squirrel scale can only scale less, we have to divide the 200 kilograms through the scale's capability, to find out how often he has to use it. Or not? I am easily fooled with mathematics Or the question is wrong __________________ >^..^<*)))>{ All generalizations are wrong.

08-15-17, 12:43 PM	#128
Eichhörnchen Starte das Auto Join Date: Aug 2014 Location: The Fens Posts: 15,901 Downloads: 5 Uploads: 0	Does he have to weigh himself during this? __________________

08-16-17, 07:33 AM	#131
Eichhörnchen Starte das Auto Join Date: Aug 2014 Location: The Fens Posts: 15,901 Downloads: 5 Uploads: 0	I need to know this... after all I don't want anyone messing with my nuts either... but I just can't figure it out. Is it a trick answer or a real mathematical solution? I just don't know, but I am thinking hard about it __________________

08-16-17, 07:38 AM	#132
Sean C Grey Wolf Join Date: Jun 2017 Location: Norfolk, VA Posts: 938 Downloads: 12 Uploads: 2	Oh, I get it. It's one time because the king takes two nuts from the first district, four from the second district and so on and puts the resulting 110 nuts on the scale at once. Depending on the weight, he can see who cheated: 2199 g and district 1 cheated 2198 g and district 2 cheated 2197 g and district 3 cheated 2196 g and district 4 cheated 2195 g and district 5 cheated 2194 g and district 6 cheated 2193 g and district 7 cheated 2192 g and district 8 cheated 2191 g and district 9 cheated 2190 g and district 10 cheated Last edited by Sean C; 08-16-17 at 08:01 AM. Reason: Changed numbers to accommodate a scale that only reads to whole grams. ;)

08-14-17, 01:24 PM	#121
bracer Grey Wolf Join Date: Aug 2007 Location: Sweden Posts: 771 Downloads: 15 Uploads: 0	So, the squirrel king collected taxes from all the 10 squirrel districts in his kingdom! The districts had to pay 1000 nuts each. But the king heard a rumor that one of the districts cheated, and that they've eaten a small piece of each nut. The only way to seperate a real nut from a chewed nut is to weigh it. A whole nut weighs 20 grams, and a slightly chewed nut weighs 19,5 grams. The squirrel king has a bathroom scale at his disposal, but it is expensive to use, so he wants to use it as few times as possible. How many times does he have to use the scale to figure out who cheated?

08-14-17, 03:40 PM	#123
bracer Grey Wolf Join Date: Aug 2007 Location: Sweden Posts: 771 Downloads: 15 Uploads: 0	Once is correct! But I'm sorry to say, that I need to know how he does it aswell!

08-15-17, 02:17 PM	#129
bracer Grey Wolf Join Date: Aug 2007 Location: Sweden Posts: 771 Downloads: 15 Uploads: 0	No, it is enough to weigh the nuts to figure out who cheated.

08-16-17, 06:03 AM	#130
bracer Grey Wolf Join Date: Aug 2007 Location: Sweden Posts: 771 Downloads: 15 Uploads: 0	One hint, and then I will present the solution tomorrow. So the king sits there with ten bags of nuts from ten districts, they all weigh 20kg except one that weighs 19,5. Weighing all the nuts just shows 199,5kg, and no clue to who cheated. Weighing less nuts but equal amount from each District doesn't help either. So there is no point to put the same amount of nuts from each district on the scale.

08-16-17, 09:42 AM	#133
Rockstar Rear Admiral Join Date: Nov 2002 Location: Zendia Bar & Grill Posts: 12,470 Downloads: 10 Uploads: 0	exit polls indicate we may have winner __________________ Extradite Deez Nutz in your mouth Commissioner Mark Rowley you fascist pig. Make 1984 fiction again.

08-16-17, 04:30 PM	#135
Eichhörnchen Starte das Auto Join Date: Aug 2014 Location: The Fens Posts: 15,901 Downloads: 5 Uploads: 0	You're a genius, Nathaniel B. __________________