| Username |
Post |
| Terminator |
Posted
on 19-Mar-02 10:07 PM
Kale and Shyame are GAI GOTHALAS and on one day they decided to quit their job. They wanted to become BHENDA GOTHALAS. So they went to the market and sold all GAI. The amount of money (rupees ) they received for each GAI is
the same as the total of GAI they owned. For that money they bought as
many BHENDA as possible at 10 rupees a BHENDA. For the money that was left
they bought a BOKA.
On their way home they got in a fight and decided to split up. When they
devided the sheep there was one BHENDA left. So Shyame said to Kale "I take the last BHENDA and you can get the BOKA." "That's not fair" said Kale, "BOKA costs
lesser than a BHENDA." "OK", Kale said, "then I will give you one of my KUKUR
and then we are even." And Kale agreed.
What costs a KUKUR?
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| Nomad. |
Posted
on 19-Mar-02 11:03 PM
here's the solution:
shyame's net worth at the end:
bhedas + extra bheda - kukur
kale's net worth at the end:
bhedas + boka + kukur
since the number of bhedas for both guys is equal,
bheda - kukur = boka + kukur
2 kukur = bheda - boka
kukur = 1/2 (bheda - boka).
since bheda's price = 10,
kukur = 5 - 0.5 boka
and boka's price < 10 by assumption, thus:
0 < kukur <5.
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| Terminator |
Posted
on 20-Mar-02 01:43 AM
Nomad, you are right until now but still it not the final answer. What is cost of the BOKA? You need to find the cost of BOKA from the info given. The solution is really interesting. Clue: certain property of a square number...
So the question is: what is the cost of BOKA?
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| chahalpahal |
Posted
on 20-Mar-02 01:37 PM
The cost of Boka = $6.00.
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| DSharma |
Posted
on 20-Mar-02 05:49 PM
There were 6 GAIS and each cost 6 Rupees.
They bought 3 bhedas and one boka, which cost them 6 Rupees.
Then to make even, they added one kukur and it is valued at 4 rupees.
Therefore, the kukur cost 4 rupees.
I did not see anything amazing with this puzzle. The one about the ages of the daughters was really interesting!!!
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| Terminator |
Posted
on 20-Mar-02 08:31 PM
I think this puzzle is quite interesting. Here is the solution:
1 sheep costs 10 rupees.
1 sheep - 1 dog = 1 goat + 1 dog
1 sheep - 1 goat = 2 dogs
Total money they received for their GAI is a square N^2(because N GAIx N rupees/each GAIl). 1/10th of this square number (total BHENDA they bought) is odd (total money / 10 rupees), because they could not divide their BHENDA evenly. For example, if N^2 is 256, total BHENDA they bought is 25 which they could not divide equally.
All squares with an odd decade (1/10 whole number) has 6 at the end. For example: 256 (25 is odd and has 6 at the end), 576 (57 is odd and has six at the end). Thus BOKA costs 6 rupees.
Thus 2 KUKUR= 10 - 6
Therefore 1 KUKUR = 4/2 = 2 rupees
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| DSharma |
Posted
on 20-Mar-02 09:21 PM
sorry, i got the price for the kukur wrong. That was because of a hurry. But, this problem has innumerous solutions yet with the same answers for the price of the boka and the kukur. Now, i realized why you put up this question. I was expecting some brain-storming!!!
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