Only genius people(apparently) can answer this question,Try your luck!
There is a bus with 7 girls.
Each girl has 7 bags. In each bag, there are 7 big cats
Each big cat has 7 little cats.
Each cat has 4 legs.
Question: How many legs are present in the bus?
Write your answer in comments
Write your answer in comments
Posts
12 comments:
My guess is 10990.
Apparently, 10990.
Or 10992 if the driver is present as well.
Let's try a more challenging one:
Three friends went fishing and caught some fishes. They were so tired after some time that they did not distribute the fishes amongst themselves, but slept under a tree. After a while, one of them woke up, divided the catch into 3 equal portions. One fish was left, which he threw in water, took his share, and went home. Some time later, the second woke up and not knowing what had happened, again divided the REMAINING fishes again into three portions. Again, one fish was left which was thrown into water. He took his share and left, leaving the share of others under the tree. The third person woke up after that, and thinking the remaining fishes to be their catch, divided them into 3 parts, and the same thing happened. Now, although there was no one left, if the remaining fishes were again divided into 3 equal parts, no fish was left. So how many fishes were originally caught by three of them?
I really love the problem.
Long ago when I was addicted to Orkut I saw the question there (for the first time actually) and suddenly fell in love (with the question actually!) :P
I've heard that the question was given to Einstein and he solved it within seconds! As for me, it took a day but you can't imagine the joy of solving it, unless you do!
BTW, note that coming up with a number as the answer is no big deal; the deal is to come up with the general answer.
Hint: The question has (or at least CAN HAVE) much more than one answer!
BTW, nice to see you here Mr. Behdad!
It seems no one is interested in the problem, except me!!!
It's about an hour that I'm stuck with this problem (fishermen)! A few times I've thought that I've found the answer, but then it turns out that it isn't correct.
I'll write once I find the answer.
Behdad
Solved! 25, 106, 187, ...
It took about an hour and 20 mins; nowhere near Einstein ;)
f = (81/8)x + (19/4)
x should be a number which yields an integer value for f.
for example,
for x=2, f is 25.
for x=10, f is 106.
for x=18, f is 187.
...
Yes! That's it.
Any (81x + 25) would be correct!
Just the only distinction between your formula and mine is that I have included the restrictions imposed on x in my formula.
P.S. well done!
Thanks for the challenge. But how did you get to your formula, coz yours is much simpler. I solved the problem starting from the end of the story.
That's exactly what I did.
f = (81/8)x + (19/4) is the first equation one can come up with, but the matter is to impose some restrictions in a way that for any integer number such as x the equation yields to an integer value for f.
Ok, here is my style:
Let's suppose
T denoting total number of fishes caught
x denoting first fisherman's share
y denoting second fisherman's share
z denoting third fisherman's share
And k denoting any integer number
Clearly:
T = 3x + 1
2x = 3y + 1
2y = 3z + 1
And
2z = 3k => z = (3/2) k
Since z should be an integer number then k has to be even, namely:
k = 2m (m can be any integer number)
z = 3m
y = (9m+1)/2
Again since y should be an integer number then m has to be odd, namely:
m = 2n + 1 (n can be any integer number)
y = 9n + 5
Just the same way we can approve that:
x = 27p + 8
And this yields to:
T = 81s + 25
Simply replace s with x and we're done!
T = 81x + 25
Cheers for the long explanation of your solution. I did exactly the same thing, but the way you simplify the equation is beautiful.
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