Riddles and Puzzles

[Archie_tect]

Weigh 3 on each side. If they balance then it's one of the two left... weigh those 2 and one will be heavier.

But, if the first 6 don't balance then take the heavier 3 and weigh 2 of them, one on each side... if they balance it's the one not weighed. If they don't balance you know the heaviest one... so 2!

{EDIT: beaten to it by a minute.... doh!!!]

 

[nickyboy]

Ooh, I've worked out how to do it in 2.

Number the eggs. Split into two groups of 3 and one of 2.
Weigh the groups of 3 against each other. If the scales level, then the heavier egg must be in the group of 2, so weigh those eggs against each other.

If they don't balance, take the heavier of the group of 3, and weigh 2 of the eggs from that group against each other, keeping the 3rd egg to one side.
If the scales don't balance, you've discovered the heavier egg. Otherwise the egg you put to to one side is heavier.

Correct (@Nihal see me after school )

 

[nickyboy]

A man has a fox, a chicken and a bag of corn with him. He reaches a river that he needs to cross. There is a boat.

If the fox and the chicken are together, the fox will eat the chicken. If the chicken and the corn are together, the chicken will eat the corn.

How does he get all three safely across the river?

 

[welsh dragon]

Its been done. He takes the chicken over then goes back and picks up the corn and takes it across. On his way back he takes the chicken with him. He drops the chicken off and picks up the fox and takes that over, then goes back and picks up the chicken and brings it across. There all three things on the other side of the river.

 

[nickyboy]

Its been done. He takes the chicken over then goes back and picks up the corn and takes it across. On his way back he takes the chicken with him. He drops the chicken off and picks up the fox and takes that over, then goes back and picks up the chicken and brings it across. There all three things on the other side of the river.

Apologies...I didn't look back through all 60 pages!

Here's another logic puzzle, hopefully not done before:

A woman is looking for an intelligent husband so she sets a test. If the potential groom gets it right she will marry him with the ring he finds.

She has 3 boxes; Gold, Silver and Lead. Inside one of these boxes is the ring. On each box is an inscription. Either none or only one of the inscriptions is true.

Gold: The ring is in this box
Silver: The ring is not in this box
Lead: The ring is not in the Gold box

Which box is the ring in?

 

[benb]

Apologies...I didn't look back through all 60 pages!

Here's another logic puzzle, hopefully not done before:

A woman is looking for an intelligent husband so she sets a test. If the potential groom gets it right she will marry him with the ring he finds.

She has 3 boxes; Gold, Silver and Lead. Inside one of these boxes is the ring. On each box is an inscription. Either none or only one of the inscriptions is true.

Gold: The ring is in this box
Silver: The ring is not in this box
Lead: The ring is not in the Gold box

Which box is the ring in?

Lead. Whether it's 0 or 1 true statement, lead is the only one that works.
Who do I get to marry?

 

[Nihal]

Correct (@Nihal see me after school )

Sorry sir

If only one is true and all are false,then its the Lead box.........so the ring is in the silver one.

If i were in the Gold,two statements would be true.
If it were in silver,all three would be false.
If it were in lead,two would be true .



(Dammit)

 

[nickyboy]

Lead. Whether it's 0 or 1 true statement, lead is the only one that works.
Who do I get to marry?

Sadly you are destined to remain single, see @Nihal

 

[Nihal]

Can you arrange 9 numbers -1,2,3,4,5,6,7,8 and 9(using each just once) above and below a division line, to create a fraction equaling to 1/3.

 

[benb]

Sorry sir

If only one is true and all are false,then its the Lead box.........so the ring is in the silver one.

If i were in the Gold,two statements would be true.
If it were in silver,all three would be false.
If it were in lead,two would be true would be true.



(Dammit)

No, I think the ring has to be in the lead box.

Edit: I'm an idiot! It's in the silver as you said.

 

[thom]

9 x 9 / 9squared

9 * 9 / ( 9 ^ 2 ) you mean ?
I prefer
9 ^ ( 9 - 9 ) = 1

 

[nickyboy]

numerator (3 x 5 + (4/2) x 1) + (8 - 7) = 18

denominator 9 x 6 = 54

 

[classic33]

10 weeks. 1st week was 19677. Or:
2 weeks. 1st week was 798 (but at least 3 weeks was implied in the question)

I can't help thinking there must be more solutions, but I've gone up to 100 weeks with no other solutions.

What was the total number of visitors to the site though?

 

[classic33]

Gone with the dogs
The writer Jack London had to go from Skagway to a remote camp in a sled pulled by 5 husky dogs. For 24 hours the dogs pulled the sled at full speed.
Then 2 dogs ran off with a pack of wolves, and the sled was slowed down proportionally. Jack reached camp 48 hours later than he planned. "If those 2 huskies had held on for 50 more miles, I would have been only half as late."
How far was the camp from Skagway and how long did it take Jack to get there?

 

[benb]

What was the total number of visitors to the site though?

58,100

Week  Visitors
1     19677
2     13119
3     8748
4     5835
5     3894
6     2601
7     1740
8     1167
9     786
10    533
Total 58100