Mathematical problems that Hazrat Ali (RZ)solved

Assalam u alaikum wr wb wm,

Here are some Mathematical problems that Hazrat Ali (RZ)solved while he was Khalifa. He was known for his mathematical genius.
Enjoy reading them:

One Day a person came to Ali (Razi Allah tala anhu), 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 (RZ), 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."
Hazrat Ali(RZ) 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 (Razi Allah tala anhu). He calculated the answer Ali RZ 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
____________ _________ _________ _________ _________ __ ____________ _________ _________ _________ ___

One day a person came to Ali (Razi Allah tala anhu). He was planning to ask Ali (Razi Allah tala anhu) such a question which would take Ali (Razi Allah tala anhu) a long time to answer and because of that his Maghrib Prayers would be
delayed. He asked, "Ali you say you know everything in the world, then tell me which animals
lay eggs and which animals give birth to their young ones">
Hazrat Ali (Razi Allah tala anhu) looked back at him smiled and said, "The animals who have their 'EARS' outside their body give birth to their young ones and the animals who have their 'EARS' inside their body lay eggs."

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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 (Razi Allah tala anhu) and put forward their problem.

Hazrat Ali (Razi Allah tala anhu) said, "Ok. I will divide the camels as per the man's will."

He 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 Hazrat Ali (Razi Allah tala anhu) said, "Now I will take my Camel back."

This was the genius that Hazrat Ali Razi Allah tala anhu was in his time.