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Is The God A Mathematician?

Mathematics is known for circumscribing stunning beauty of the existing patterns and relationships. And when such an awesomeness is around it becomes quite reluctant to say it a random coincidence. At that point of time one is compelled to think whether the God, itself, created Mathematics. Is the God a mathematician?

I'm here with an amusing property of numbers, lets name it as THE GOD PROPERTY which is revealed in the following steps.

Step 1: Think of any whole number in you mind (say X).

Step 2: Rearrange the digits of that whole number in any way you like. And lets say the new number obtained after the rearrangement is Y.

Step 3: Then |X-Y| is divisible by 9.

Here I will take you through a couple of illustrations of THE GOD PROPERTY.

Illustration 1:

  1. I thought of a 3 digit number 235.

  2. I rearranged 235 as 523.

  3. Subtracting: 523-235=288, which is divisible by 9.

Illustration 2:

  1. I thought of a 7 digit number 1987653.

  2. I rearranged it as 7856319.

  3. Subtracting:7856319-1987653=5868666, which is divisible by 9.


You are not finished yet. Here goes the stuff you can play around and poke this beauty.

Question 1: Prove that this is trye for any whole number of 4 digits.

Question 2: Prove that this is true for any whole number of any digits.


Clarification:

This note is not a debate or a discussion about anything related to the God. And if you're interested in such discussions, you can refer to the note: Does God exist?. Or you can join the Philosophy channel on Brilliant-Lounge and lead/participate/start the discussions over there.

Thanks!

Note by Sandeep Bhardwaj
9 months ago

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@Adarsh Kumar The quickest way is to apply the divisibility rules of 9. Pi Han Goh · 8 months, 4 weeks ago

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@Pi Han Goh Hahaha of course!! Adarsh Kumar · 8 months, 4 weeks ago

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@Chinmay Sangawadekar \[9|0\] Harsh Shrivastava · 8 months, 3 weeks ago

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@Harsh Shrivastava Yeah of course just for fun ;3 :)) Chinmay Sangawadekar · 8 months, 3 weeks ago

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Brilliant mind 😁😎 Gaurav Anand · 8 months, 2 weeks ago

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@Gaurav Anand Thanks! :) Sandeep Bhardwaj · 8 months, 2 weeks ago

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Super Sandeep bhardwaj Sai Kiran · 8 months, 3 weeks ago

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@Sai Kiran Thanks! :) Sandeep Bhardwaj · 8 months, 3 weeks ago

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@Sandeep Bhardwaj it it's realy cool... Chinmay Sangawadekar · 8 months, 3 weeks ago

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@Chinmay Sangawadekar Thanks! :) Sandeep Bhardwaj · 8 months, 3 weeks ago

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Nice one ! Pawan Pal · 8 months, 3 weeks ago

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@Pawan Pal Thanks! :) Sandeep Bhardwaj · 8 months, 3 weeks ago

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it's amazing Sri Lakshmi Topella · 9 months ago

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@Sri Lakshmi Topella Thanks! :) Sandeep Bhardwaj · 8 months, 3 weeks ago

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@Nihar Mahajan it's a great one . thnx for it Satyabrata Dash · 8 months, 3 weeks ago

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@Nihar Mahajan Nice one. Thanks! :) Sandeep Bhardwaj · 8 months, 3 weeks ago

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