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Goober

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Here is another one from ancient India. People in Middle East and Far East seem to be fond of puzzles, many of which are mathematical in nature. If kids are exposed to such puzzles from the childhood, they probably develop a liking for mathematics. I suppose that would explain why people from there excel in math and sciences.

In ancient India, a king wanted to accomplish some great task (which one, does not concern us). The reward for whoever completed the task was gold coins equal to the weight of king’s favorite elephant.

Well, a man did accomplish the task and was eligible for the reward. But there was a problem. How does one weigh an elephant? The king didn’t have a big enough scale whereby he could put the elephant on one side and balance the other side with gold coins. It would take a long time to build such a scale. Besides, it would be expensive.

He described the difficulty to the reward winner. The winner said “Your Majesty, I am not a greedy or fussy man. Give me gold coins approximately equal to the weight of elephant and I will be satisfied.

Which was something. But still question remains, what is the simplest way to measure out gold coins approximately equal to the weight of an elephant (there is no scale available).

Possibly something based upon water displacement????
 

JLM

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Possibly something based upon water displacement????

You submerge the elephant in a tub of water and get the volume of the water that spills over. Elephants are very close to the same density as water, gold is about 19 times the specific gravity so give the guy 1/19 of the volume of Au.
 

Dexter Sinister

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Oct 1, 2004
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The basketball
'Fraid not, Spade was right. The relationship between the circumference and the diameter of a circle is perfectly linear, increase the circumference by 1 inch and the diameter increases by about a third (1/pi, actually) of an inch, regardless of the original size of the circle.

Here's one of my favourites, which in my experience people either get immediately or never get at all. If a hen and a half lays an egg and a half in a day and a half, how many eggs can 9 hens lay in 9 days?

[Hint: it's not 81]


Anyone feel up to discussing the old Monty Hall problem again? :)
 

petros

The Central Scrutinizer
Nov 21, 2008
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'Fraid not, Spade was right. The relationship between the circumference and the diameter of a circle is perfectly linear, increase the circumference by 1 inch and the diameter increases by about a third (1/pi, actually) of an inch, regardless of the original size of the circle.

Here's one of my favourites, which in my experience people either get immediately or never get at all. If a hen and a half lays an egg and a half in a day and a half, how many eggs can 9 hens lay in 9 days?

[Hint: it's not 81]


Anyone feel up to discussing the old Monty Hall problem again? :)
...... 9
 

SirJosephPorter

Time Out
Nov 7, 2008
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Possibly something based upon water displacement????

Quite so, one could think of several ways of doing it. But the answer he gave was the simplest.

Put a rowboat in water (a lake or a pond). Put the elephant in the boat and mark the level to which the boat sinks. Then remove the elephant from the boat and fill the boat with gold coins so that it sinks to the same mark in the water.

No.

...and I'll just add this because No by itself is too short to post.

Indeed. Due to some reason they have the rule of 4 characters minimum.

If a hen and a half lays an egg and a half in a day and a half, how many eggs can 9 hens lay in 9 days?
This again can be worked out with simple arithmetic.

1½ hens lay 1½ eggs in 1½ days. So in 9 days, they will lay 9/1.5 X 1.5 or 9 eggs.

So we have 1 ½ hens laying 9 eggs in 9 days. So 9 hens will lay 9/1.5 X 9 = 54 eggs in 9 days.

The answer is 54.
 
Last edited:

SirJosephPorter

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That was a quick edit.

And what is wrong with an edit if one discovers an error? I edit my posts many times. Sometimes it is just spelling errors, sometimes I like to add something, sometimes I can think of a better way of saying something (after I have posted it). Edit feature is there to be used, what is wrong with that?
 

JLM

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Nov 27, 2008
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Vernon, B.C.
'Fraid not, Spade was right. The relationship between the circumference and the diameter of a circle is perfectly linear, increase the circumference by 1 inch and the diameter increases by about a third (1/pi, actually) of an inch, regardless of the original size of the circle.

Here's one of my favourites, which in my experience people either get immediately or never get at all. If a hen and a half lays an egg and a half in a day and a half, how many eggs can 9 hens lay in 9 days?

[Hint: it's not 81]


Anyone feel up to discussing the old Monty Hall problem again? :)

Off the top - 54

That was a quick edit.

We old fellers tend to do a lot of that, sometimes you punch the submit button right in the middle of an Alzheimers attack.

"Put a rowboat in water (a lake or a pond). Put the elephant in the boat and mark the level to which the boat sinks. Then remove the elephant from the boat and fill the boat with gold coins so that it sinks to the same mark in the water."

How does one put an elephant in a row boat? Row boats weight 150 lbs. max, an elephant weighs about 6 tons. What do you think would happen as soon as the elephant puts one foot in the boat? :lol::lol::lol::lol::lol::lol::lol::lol::lol::lol::lol::lol::lol::lol:
 

Dexter Sinister

Unspecified Specialist
Oct 1, 2004
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1½ hens lay 1½ eggs in 1½ days. So in 9 days, they will lay 9/1.5 X 1.5 or 9 eggs.
So we have 1 ½ hens laying 9 eggs in 9 days. So 9 hens will lay 9/1.5 X 9 = 54 eggs in 9 days.
Right. I find this a simpler way to think about it though: As the problem is stated, it takes one hen a day and a half to lay an egg, so in 9 days she'll lay 6, and 9 hens will lay 54.
 

TenPenny

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Jun 9, 2004
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And what is wrong with an edit if one discovers an error? I edit my posts many times. Sometimes it is just spelling errors, sometimes I like to add something, sometimes I can think of a better way of saying something (after I have posted it). Edit feature is there to be used, what is wrong with that?

Oh, stop being such a pompous twit. I was going to comment on your reply, but it changed while I was replying to it. I wasn't being critical, you need to relax a little bit.

If you're going to be so fussy about editing your posts, maybe you can let us know how you can divide 8 dinars by giving one person 8, and the other 1.

Right. I find this a simpler way to think about it though: As the problem is stated, it takes one hen a day and a half to lay an egg, so in 9 days she'll lay 6, and 9 hens will lay 54.

I figured you had 6 times as many hens, for 6 times as many days...and then remembered that the original productivity was 1.5...

How does one put an elephant in a row boat? Row boats weight 150 lbs. max, an elephant weighs about 6 tons. What do you think would happen as soon as the elephant puts one foot in the boat? :lol::lol::lol::lol::lol::lol::lol::lol::lol::lol::lol::lol::lol::lol:

I figured it would easier to take a log, and place a stout plank on it, heavy enough to support the elephant, then you've got a simple balance beam. If you ahve access to a rowboat big enough for an elephant, you probably have access to some timber.
 

JLM

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Oh, stop being such a pompous twit. I was going to comment on your reply, but it changed while I was replying to it. I wasn't being critical, you need to relax a little bit.

If you're going to be so fussy about editing your posts, maybe you can let us know how you can divide 8 dinars by giving one person 8, and the other 1.



I figured you had 6 times as many hens, for 6 times as many days...and then remembered that the original productivity was 1.5...



I figured it would easier to take a log, and place a stout plank on it, heavy enough to support the elephant, then you've got a simple balance beam. If you ahve access to a rowboat big enough for an elephant, you probably have access to some timber.

The easiest and most sensible way is to take a collapsable canvas tub about 16' diameter and 12' high and get the elephant to step onto it, then you raise the sides and fill it with water. YOu know before hand what the capacity is empty, so you just have to measure the with the elephant stand in it. Figure out the cubic footage the elephant displaces and divide by 19 the specific gravity of gold and that is the vol. of gold you pay the guy. :smile: You have to be fast so you don't drown the elephant. :lol::lol:

Or better still drown the elephant first.
 

TenPenny

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The easiest and most sensible way is to take a collapsable canvas tub about 16' diameter and 12' high and get the elephant to step onto it, then you raise the sides and fill it with water. YOu know before hand what the capacity is empty, so you just have to measure the with the elephant stand in it. Figure out the cubic footage the elephant displaces and divide by 19 the specific gravity of gold and that is the vol. of gold you pay the guy. :smile: You have to be fast so you don't drown the elephant. :lol::lol:

Or better still drown the elephant first.

You have to make sure you've got the elephant floating, though.