A doctor in Michigan has a sister who lives in California but the sister does not have any brother that lives in Michigan, how come??
:P

Killing times demic. Into solving riddle! not really, but this thread is pure one without bias, racism, politics, profanity and helps sharpen mind.
Cap puzzle, sounds logic but I am looking for volunteers to try it in real world.
I came same with rope puzzle but Republic is probably out there helping Bush.

If those Ants are not looking back, how the hell the first Ant knows there are two behind him and how does the second one know there is one behind him?
Or they are looking at the shinny, mirror like butt of an Ant ahead of them.

IDK, Swatantratagaamy! Ask Republican! He's the Man for that question anyway! :P

Good night! :)

Folding the rope is not the solution. Like it says in the question, the ropes aren't uniform, i.e. doesn't necessarily mean that it takes 30 mins to burn to the midpoint. OK, let's keep this simple.. how about if you can't even fold the rope at all?

Hi all,
The last ant is simply lying!! No one here seems qualified to be a politician.

Paradox, The last one is simply lying!! How is he sure that there are not any ants behind him?hehe

Republican, burn the short rope from both end, that is 30 min. Right after that, burn the long rope somewhere in the middle and two ends, it will divide the rope in two section and now we have four points that are burning. Finishing of the longest burning section of rope will mark 15 min. Is it how?
If not then, are those ropes bilaterally symetrical?

swatantra, very close, you got it mostly right.

burn two ends of rope A and one end of Rope B.

rope A will burn out in 30 mins.. and rope B will burn for 30 mins (30 mins left to go).

as soon as rope A burns out, light the other end of rope B.

rope B will burn out in 15 mins.

that's 45 mins.

Here's a good one:

Rambo and Shyambo are farmers who own a bunch of cows together. One day they decide to sell their cows and buy goats instead. They sell all their cows - each cow gets sold for an amount that is equal to the total number of cows they had,

i.e. price of a cow = number of cows they owned.

From the money they get, they buy goats - each goat costs 10 dollars. They have some money left over, not enough to buy another goat, so they buy one chicken with the rest of that money.

One day, they get into a fight and decide to split up. They divide the goats among themselves and find out that there is one goat left.

Rambo says to Shyambo - I'll take the last goat, you can have the chicken.

Shyambo says - No way! A chicken costs less than a goat!

Rambo says - I'll also give you one of my dogs and we will be even.

Shyambo agrees.

How much does a dog cost?

I tried few combinations of number and found that price of chicken can only be 6. This means price of dog is 2.
Just want to confirm my answer.

Dog=$2.00 or $4.00? I think it is $4.00
12 (goats)*$10=$120 for Rambo
11(goats)*$10+1 (chicken)*$6+1(dog)*$4=$120 for Shyambo

Republican, I tried more than an hour finding it mathematically, but everytime I get dog = $0.

This is what I did. Please tell me where I am wrong, if I am.

1 cow's price = $x
i.e. c = x
Total number of cows = n
Also, x = n

Total cow's price = c * n = x * x = x^2

For goat,
1 goat = $10

In terms of price,

x^2 = 10g + chicken -------- (i)

According to given condition:

(Understand the equation in terms of price)

(X^2)/2 = [ (10g - g) / 2 ] + chicken + dog
(X^2)/2 = (10g - 10) / 2 + c + d ------- (ii)

From equation (i) and (ii),

10g + c = 5g - 5 + c + d;
Therefore, 10g + c = 5g - 5 + 10 (given, g = c + d = 10)



(10g + c) / 2 = 5g + 5
10g + c = 10g + 10
Therefore, c = 10;

Hence, dog's price = $0

Well, it works mathematically that chicken also cost $10...maybe the those two guys just bought the chicken to make us confuse!

Please tell me where I am wrong on the above solution!

Correction:

From equation (i) and (ii),

10g + c = 5g - 5 + c + d
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(10g + c) / 2

Therefore, 10g + c = 5g - 5 + 10 (given, g = c + d = 10)
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V

(10g + c) / 2

According to my logic when A gives dog from his side to B then A is losing the price of dog so I assumed the equation as

10 - d = c + d

d = (10 - c )/2 ------------------(i)

Lets start form beginning

Suppose price of a cow is x, then total price of cow is x^2. The price per goat is 10 and number of goat is odd. With x^2 sum we have to buy any odd number of goat.

For the quotient to be odd while dividing x^2 by 10, remainder always equals 6. Lets check it with these squared numbers.
25 = 2*10 + 5 (even number of goat)
36 = 3*10 + 6 (odd number of goat)
49 = 4*10 + 9 (even)
81 = 8*10 + 1 (enen)
196 = 19*10 + 6 (odd)
256 = 25*10 + 6 (odd)
625 = 62*10 + 5 (even)
676 = 67*10 + 6 (odd)

In each case money left after buying even number of goat is 6 which is not other than the money to buy one chicken.

Now according to the equation (i) above price of dog becomes 2.

Slowpoison wrote:

"According to my logic when A gives dog from his side to B then A is losing the price of dog."

I think that is incorrect. The question says, when one of them gets extra goat, and to make them equivalent in terms of money, one has to give one dog besides the chicken he already has.

So, it is 1 dog + 1 chicken = 1 goat

What do you say, slowpoison? And, Republican, it's time to give the answer! :)

slowpoison, your solution is correct. Very nice!

slackdemic, sorry if you interpreted the question differently.

the equation would be:

1 goat - 1 dog = 1 chicken + 1 dog

I object, Republican! :P

Not meaning to fight with you, but I will post later why I disagree. In the class now.

Later!

Rambo says to Shyambo - I'll take the last goat, you can have the chicken.

Shyambo says - No way! A chicken costs less than a goat!

Rambo says - I'll also give you one of my dogs and we will be even.

Shyambo agrees.

How much does a dog cost?

The question clearly states that to make even Rambo gives one dog.

So, it clearly implies 1 goat = chicken + dog.

The question wasn't phrased clearly.

To begin with, the statement:
"They sell all their cows - each cow gets sold for an amount that is equal to the total number of cows they had, .."
is little ambiguous.

If you read that carefully, then the total amount you get from selling all cows will NOT be x^2. It will be (x^2 +x)/2.

And, this whole thing about
1 goat = 1 chicken + 2 dogs
does not make sense to me. It would be so only if the dog was bought using the money that belonged to both of them. We simply do NOT know if that is the case.

Well, I didn't come up with that question. I came across it and interpreted and solved it the way slowpoison did. Apparently it is the correct answer. If you guys want to do it in a different way, you are more than welcome.

Try this: