bint-ul-islam
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Here are some Mathematical problems that Hazrat Ali (R.A) solved while he
was Khalifa. He was known for his mathematical genius.
Enjoy reading them:
One Day a person came to Ali (RATA), thinking that since Ali thinks
he is too smart, I'll ask him such a tough question that he won't be
able to answer it and I'll have the chance to embarrass him in front
of all the Arabs.
He asked "Ali, tell me a number, that if we divide it by any number
from 1-10 the answer will always come in the form of a whole number
and not as a fraction." Ali Looked back at him and said, "Take the
number of days in a year and multiply it with the number of days in
a week and you will have your answer."
The person got astonished but as he was a Mushrik he still didn't
believe Ali (RATA). He calculated the answer Ali (AS) gave him. To
his amazement he came across the following results:
The number of Days in a Year = 360 (in Arabic Calendar)
The Number of Days in a Week = 7
The product of the two numbers = 2520
Now ...
2520 / 1 = 2520
2520 / 2 = 1260
2520 / 3 = 840
2520 / 4 = 630
2520 / 5 = 504
2520 / 6 = 420
2520 / 7 = 360
2520 / 8 = 315
2520 / 9 = 280
2520 / 10= 252
A person was about to die, and before dying he wrote his Will which
went as follows ...
"I have 17 Camels, and I have three sons. Divide my Camels in such a
way, that My eldest son gets half of them, the second one gets 1/3rd
of the total and my youngest son gets 1/9th of the total number of
Camels"
After his death when the relatives read his will they got extremely
perplexed and said to each other that how can we divide 17 camels
like this.
So after a long hard thought they decided that there was only one
man in Arabia who could help them: "Ali Ibne Abi Taalib."
So they all came to the door of Ali (RATA) and put forward their
problem.
Ali (RATA) said, "Ok. I will divide the camels as per the man's
will."
Ali (RATA) said, "I will lend one of my camels to the total which
makes it 18 (17+1=18), now lets divide as per his will"
The Eldest gets 1/2 of 18 = 9
The second one gets 1/3 of 18 = 6
and The Youngest gets 1/9 of 18 = 2
Now the total number of camels = 17
Then Ali (RATA) said, "Now I will take my Camel back"