The Sunday Afternoon Puzzle!

[lspencer534]

A more traditional Puzzle this week--some easy, some hard. So grab a beer, and no Googling!

1. Two fathers and two sons went to the County Fair. On their way out, each bought a bag of taffy. When they got home they had only three bags of taffy. No taffy was lost, thrown away, or eaten. What gives?

2. Below the four parts have been reorganized. The four partitions are exactly the same in both arrangements. Why is there a hole?

http://i702.photobucket.com/albums/ww22/lspencer534/Triangle-1.gif
Hint: This is not an optical illusion. If you print out the puzzle, cut out the pieces and rearrange them, you get the exact same dilemma.

3. You are given eight jelly doughnuts. The doughnuts all weigh the same amount except for one which is heavier. You have a balancing scale at your disposal. What's the minimum number of weighings required for you to pick out the heavy doughnut every time?

4. A man has $1.15 in six coins. He can't make change for a dollar, a half dollar, a quarter, a dime, or a nickel. What coins did he have?

5. Which number is the odd one out?

72 36 93

18 54

6. A fire engine travels six miles to a fire at a speed of 40 mph.
Its tank holds 500 gallons of water but has been leaking at a rate of 20 gallons per hour throughout the journey. After the fire engine has used 496 gallons of water to put out the fire, how much water will be left in the tank?

7. http://i702.photobucket.com/albums/ww22/lspencer534/laundrydayhotness.png

Unpostie:

Evening Hotness - TDW Tease (http://tease.thedailywh.at/2011/12/03/evening-hotness-132/#more-66457)

[Sea Six]

1. Three men: A grandfather, a father and a son. Three bags, one each.

[Sea Six]

5. 93

[JRD77VET]

1) grandfather, son & grandson

[Sea Six]

6. 1 gallon

[JRD77VET]

2) the orange and lime are three high on top. Moving them to the left three spots reduces their height to two blocks.

The increased length allows the red to move on top and the reduced height allows the green to fit on the left.

The "extra" hole is just the way they fit

[lspencer534]

1. Three men: A grandfather, a father and a son. Three bags, one each.

Correct!

[lspencer534]

5. 93

Correct again!

[lspencer534]

6. 1 gallon

That's 3!

[JRD77VET]

5) 93 is "odd man out"

the others are multiples of 9

[lspencer534]

2) the orange and lime are three high on top. Moving them to the left three spots reduces their height to two blocks.

The increased length allows the red to move on top and the reduced height allows the green to fit on the left.

The "extra" hole is just the way they fit

My answer is different. Please convince me.

[C5Nate]

5) 93 all others add up to 9

4) 4 dimes, a quarter and a half dollar.

[lspencer534]

1) grandfather, son & grandson

Correct, but SeaSix beat you to it. Sorry.

[lspencer534]

5) 93 all others add up to 9

4) 4 dimes, a quarter and a half dollar.

Correct! :cert:

[Sea Six]

The angle from the horizontal is different, so they cover a different amount of individual area on the gridlines when arranged differently.


The area in the open square in the second picture is equal to the sum of the differences of the coverage of many individual squares in the first picture.

The total area covered is the same in each case, but because of a difference in overlapping patterns there is a complete individual square left uncovered in the second picture; the uncovered space is outside the overall triangle pattern (colored regions) in the first picture.

[lspencer534]

The angle from the horizontal is different, so they cover a different amount of area when arranged differently

The gradient of which 2 is different?

[Blademaker]

1) Grandfather, Father, son. ( I copied everybody else.)
2) They have been re-arranged. Duh.
3) 6 weighings and 1 police officer.
4) dollar coin, dime , nickel.
5) 72. Same as a 69, but with 3 people watching.
6) All of it.
7) Yes

[JRD77VET]

2) the orange and lime are three high on top. Moving them to the left three spots reduces their height to two blocks.

The increased length allows the red to move on top and the reduced height allows the green to fit on the left.

The "extra" hole is just the way they fit

My answer is different. Please convince me.

http://i702.photobucket.com/albums/ww22/lspencer534/Triangle-1.gif

Let me explain it a different way but the same. :D

Take the red and dark green triangles and move them "up" out of the way.

Keeping the lime green block in place, slide the orange block three spots to the left and down one.

Move the red block to the top and the green to the left side. The outside perimeter remains the same but now you have a "hole" in the bottom row.

[Sea Six]

2. The total area covered is the same in each case, but because of a difference in overlapping patterns there is a complete individual square left uncovered in the second picture; the uncovered space is outside the overall triangle pattern (colored regions) in the first picture.

[lspencer534]

I think JRD77VET and SeaSix have it. Here's my simplified answer: The gradient of the teal hypotenuse is different than the gradient of the red.

[lspencer534]

1) Grandfather, Father, son. ( I copied everybody else.)
2) They have been re-arranged. Duh.
3) 6 weighings and 1 police officer.
4) dollar coin, dime , nickel.
5) 72. Same as a 69, but with 3 people watching.
6) All of it.
7) Yes

:rofl:

[Sea Six]

3. Five weighings.

[JRD77VET]

The gradient of which 2 is different?

I think JRD77VET and SeaSix have it. Here's my simplified answer: The gradient of the teal hypotenuse is different than the gradient of the red.

http://i702.photobucket.com/albums/ww22/lspencer534/Triangle-1.gif



HTF can they be different? :confused5:

The bottom is thirteen blocks in length and five blocks high on BOTH triangles.

[lspencer534]

HTF can they be different? :confused5:

The bottom is thirteen blocks in length and five blocks high on BOTH triangles.

Check the height at the ends of blocks 5, 8, and 10 (from the left side).

[Blademaker]

I think JRD77VET and SeaSix have it. Here's my simplified answer: The gradient of the teal hypotenuse is different than the gradient of the red.



Damned hypotenuses do it evey time. Especially when they gradient.

My bet is with the machinist. :seasix:

[lspencer534]

Damned hypotenuses do it evey time. Especially when they gradient.

My bet is with the machinist. :seasix:

Who da machinist? Should I check into a hotel tonight under an assumed name?

[Blademaker]

Who da machinist?

JRD77VET

:seasix:

[JRD77VET]

Who da machinist? Should I check into a hotel tonight under an assumed name?

:seeya:

http://img.photobucket.com/albums/v78/JRD77VET/DCP_1809.jpg

[lspencer534]

Doughnuts anyone?

[lspencer534]

:seeya:

http://img.photobucket.com/albums/v78/JRD77VET/DCP_1809.jpg

And feckin' up that piece of metal would cost...?

[JRD77VET]

Doughnuts anyone?

No, probably be too late with them too :toetap:

:leaving:

[JRD77VET]

And feckin' up that piece of metal would cost...?

The raw casting before anything was done to it was $25K. :willy:

[lspencer534]

No, probably be too late with them too :toetap:

:leaving:

Aww...don't be like that! <Crocodile Dundee>It's just a gaime<Crocodile Dundee>

[JRD77VET]

Aww...don't be like that! <Crocodile Dundee>It's just a gaime<Crocodile Dundee>

:nutkick:









.









.








:D

[lspencer534]

:nutkick:









.









.








:D

:lol: Touche!

[DAB]

just got in, is it all over?

[lspencer534]

3. Five weighings.

Way too many!

[lspencer534]

just got in, is it all over?

The donut one is open.

[DAB]

3. You are given eight jelly doughnuts. The doughnuts all weigh the same amount except for one which is heavier. You have a balancing scale at your disposal. What's the minimum number of weighings required for you to pick out the heavy doughnut every time?

A: 3 weighings

1. 4 on each scale, set aside 4 from light side
2. 2 on each scale, set aside 2 from light side
3. 1 on each scale, heavy one is found.

:DAB:

[Sea Six]

I left that one for you, DAB.

:dance:

[DAB]

as before, slopes are not the same.

2/5 =not 3/8

or for digital types

0.40 =not 0.375

difference in slopes causes 'hole' to appear and disappear.

[lspencer534]

3. You are given eight jelly doughnuts. The doughnuts all weigh the same amount except for one which is heavier. You have a balancing scale at your disposal. What's the minimum number of weighings required for you to pick out the heavy doughnut every time?

A: 3 weighings

1. 4 on each scale, set aside 4 from light side
2. 2 on each scale, set aside 2 from light side
3. 1 on each scale, heavy one is found.

:DAB:

Here's my solution: Weigh three of the doughnuts against three others and leave the remaining two on the table. If the scales are even, the heavy doughnut is one of the two on the table -- weigh them to find out. If the scales are uneven, take the three doughnuts on the heavy end, weigh one of them against another, and leave the third on the table. If the scales are uneven, you've found the heavy one. If not, the heavy one is the one on the table

But I think your will work, too! :cert:

[lspencer534]

as before, slopes are not the same.

2/5 =not 3/8

or for digital types

0.40 =not 0.375

difference in slopes causes 'hole' to appear and disappear.

Right! :cert:

[lspencer534]

Here's the results:

SeaSix: 3.5

JRD77VET: 1.5

C5Nate: 1

DAB: 1

Obviously it won't total 6 because of the half credits. Please don't argue about the half credits; it has no bearing on the end result.

Thanks, guys! :cert:

[Blademaker]

Here's the results:

SeaSix: 3.5

JRD77VET: 1.5

C5Nate: 1

DAB: 1

Obviously it won't total 6 because of the half credits. Please don't argue about the half credits; it has no bearing on the end result.

Thanks, guys! :cert:

Thank you for question #7. :seasix: :hurray:

[Sea Six]

:party:

[Sea Six]

Thank you, Lspencer.

This is one event I look forward to each week.

[lspencer534]

Thank you, Lspencer.

This is one event I look forward to each week.

That's nice of you, man! :cert:

[lspencer534]

Thank you for question #7. :seasix: :hurray:

Ah, yes--question #7! One of my favorites, too. :cert:

[JRD77VET]

as before, slopes are not the same.

2/5 =not 3/8

or for digital types

0.40 =not 0.375

difference in slopes causes 'hole' to appear and disappear.

http://i702.photobucket.com/albums/ww22/lspencer534/Triangle-1.gif

The triangles stay the same size regardless of where they are placed. The red one is always 3 x 8 and the green is always 2 x 5.

The "main" triangle in both versions is 5 x 13.

Now, if the height ands width are the same in both versions, HTF does it "change" ? :confused5:

[DAB]

http://i702.photobucket.com/albums/ww22/lspencer534/Triangle-1.gif

The triangles stay the same size regardless of where they are placed. The red one is always 3 x 8 and the green is always 2 x 5.

The "main" triangle in both versions is 5 x 13.

Now, if the height ands width are the same in both versions, HTF does it "change" ? :confused5:

the slopes of the 2 triangles are not the same, and the overall slope is not a straight line.

in the top figure, the overall slope bends in, in the bottom, it bends out.

[Blademaker]

http://i702.photobucket.com/albums/ww22/lspencer534/Triangle-1.gif

The triangles stay the same size regardless of where they are placed. The red one is always 3 x 8 and the green is always 2 x 5.

The "main" triangle in both versions is 5 x 13.

Now, if the height ands width are the same in both versions, HTF does it "change" ? :confused5:

They have been re-arranged.
:leaving:

[JRD77VET]

They have been re-arranged.
:leaving:

http://img.photobucket.com/albums/v78/JRD77VET/funnies/WTF/WTF/Cpt-Obvious.jpg





:D

:leaving:

[Blademaker]

http://img.photobucket.com/albums/v78/JRD77VET/funnies/WTF/WTF/Cpt-Obvious.jpg





:D

:leaving:

:rofl:

After some beers during the game, some of the best fockin' ziti I have ever made, A great cabernet........one click away from pui.....:rofl:

[DAB]

:rofl:

After some beers during the game, some of the best fockin' ziti I have ever made, A great cabernet........one click away from pui.....:rofl:

in that case....i'll offer $25 for that knife, and no more....and that's still Mr. Goober to you. :hide:

[kingpin]

I knew the answer to the triangle one, but my lack of education kept me from putting my answer into words. :sadangel:

[Blademaker]

in that case....i'll offer $25 for that knife, and no more....and that's still Mr. Goober to you. :hide:

:rofl::rofl::rofl:

[DAB]

on reconsideration, the donut answer is not 3, but 2:

with 8 donuts, divide into piles of 3, 3, and 2.

1st weighing: weigh 3 vs. 3.

if the same, then fat donut is in pile of 2, weigh those 2, heavy one is obvious.

if one side is heavy, pick 2 donuts, weigh them, if same, heavy one is still on table, if not same, heavy one is obvious.

same answer applies if you have 9 donuts.

[DAB]

:rofl::rofl::rofl:

keep drinking...i'm going to get that fine piece for free eventually....:D:D

[lspencer534]

on reconsideration, the donut answer is not 3, but 2:

with 8 donuts, divide into piles of 3, 3, and 2.

1st weighing: weigh 3 vs. 3.

if the same, then fat donut is in pile of 2, weigh those 2, heavy one is obvious.

if one side is heavy, pick 2 donuts, weigh them, if same, heavy one is still on table, if not same, heavy one is obvious.

same answer applies if you have 9 donuts.

Upon reconsideration??? After you saw the friggin' answer? :rofl:

[Bill]

Keep drinking...I'm going to get that fine piece for free, eventually.....:D:D

That's what every guy at the strip joint thinks.









Oh, nevermind. You were referring to something else.

[DAB]

Upon reconsideration??? After you saw the friggin' answer? :rofl:

had some 'quality' time on the throne, realized that the correct answer was 2, not 3.

[DAB]

Upon reconsideration??? After you saw the friggin' answer? :rofl:

:confused5::confused5::confused5:

i gave what you said was the correct answer, then i thought about it some more....

[pappytinker]

the slopes of the 2 triangles are not the same, and the overall slope is not a straight line.

in the top figure, the overall slope bends in, in the bottom, it bends out.

If you overlay the two large pseudo triangles (I call them pseudo because the slope of them is not uniform), the area outlined by the pseudo hypotenuse of one that bulges out and the pseudo hypotenuse of the one that bulges in is exactly equal to the area of the "hole."

[lspencer534]

If you overlay the two large pseudo triangles (I call them pseudo because the slope of them is not uniform), the area outlined by the pseudo hypotenuse of one that bulges out and the pseudo hypotenuse of the one that bulges in is exactly equal to the area of the "hole."

Exactly. It's more or less an optical illusion that seems very precise.

[CertInsaneC5]

If you overlay the two large pseudo triangles (I call them pseudo because the slope of them is not uniform), the area outlined by the pseudo hypotenuse of one that bulges out and the pseudo hypotenuse of the one that bulges in is exactly equal to the area of the "hole."


Would that be equal to the angle of the dangle and the heat of the meat?
:leaving:

[lspencer534]

Would that be equal to the angle of the dangle and the heat of the meat?
:leaving:

Mathematically speaking, it's always the angle of the dangle. The heat of the meat is always a discardable function to be ignored in arriving at the solution. Math is a hard science. :leaving:

[CertInsaneC5]

Mathematically speaking, it's always the angle of the dangle. The heat of the meat is always a discardable function to be ignored in arriving at the solution. Math is a hard science. :leaving:

I would not call the heat of the meat a discardable function, but rather one you can manipulate at will. If its willing. :D

[jaxgator]

My late inhebriated response...

1. One of the son's was not fathered by the fathers or one of the father's was not the father of the sons.

2. Shrug

3. Don't want to think that hard right now.

4. 1 dollar coin, 1 dime, 1 nickle.

5. 93

6. Don't want to think that hard right now again.

7. Isn't that all we really care about anyway? :D

[lspencer534]

I would not call the heat of the meat a discardable function, but rather one you can manipulate at will. If its willing. :D

Mine's never willing. It only knows the word, "Now!". :leaving:

[Bill]

Would that be equal to the angle of the dangle and the heat of the meat?
:leaving:

"Get the angle of the dangle between the heat of the meat in direct proportion to the ass and you got it made."

[C5Nate]

Here's the results:

SeaSix: 3.5

JRD77VET: 1.5

C5Nate: 1

DAB: 1

Obviously it won't total 6 because of the half credits. Please don't argue about the half credits; it has no bearing on the end result.

Thanks, guys! :cert:


Well.....OK.

I'll take the 1 but I did give the answer to #5 with the CORRECT solution.

Anywho, :iagree: with the others, I look forward to this on Sunday.

I'm usually on my PC doing some class or homework anyway so my brain is engaged during this time.

Just wish I knew as soon as you post these so I can get in no the action earlier.