# Math Genius

September 07, 2016
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Mathematics has little surprises that are designed to test and push your mental limits.

If you're looking for a mathematical way to impress your friends and beguile your enemies, here's a good place to start.

The following 3 simple math problems prove outstandingly controversial among students of math, but are nonetheless facts.

I do not know if the following is true, but someone attributed this to Hazrat Ali ibn Abi-Taalib (May Allah be pleased with him) as a Math Genius:

One Day a person came to Hazrat Ali (May Allah be pleased with him), thinking that people say "Ali is too smart;" I'll ask him such a tough question that he won't be able to answer and I'll embarrass him in front of all Arabs.

He asked, "Ali, can you 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 months in a year, multiply it with number of days in a month (30), and multiply that with the number of days in a week and you will have your answer." The person did not believe Ali. He checked the answer and found it was correct. The number was 12 x 30 x 7 = 2520

Example 1

Example 2

6264 = 6642 - 2466 = 4176

Have fun with this math trick and discover why all the 4 digit numbers on subtracting using the kaprekar operation reach to the mysterious number 6174.

If you're looking for a mathematical way to impress your friends and beguile your enemies, here's a good place to start.

The following 3 simple math problems prove outstandingly controversial among students of math, but are nonetheless facts.

## Math Genius in History

This is old math genius, math genius in history.I do not know if the following is true, but someone attributed this to Hazrat Ali ibn Abi-Taalib (May Allah be pleased with him) as a Math Genius:

One Day a person came to Hazrat Ali (May Allah be pleased with him), thinking that people say "Ali is too smart;" I'll ask him such a tough question that he won't be able to answer and I'll embarrass him in front of all Arabs.

He asked, "Ali, can you 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 months in a year, multiply it with number of days in a month (30), and multiply that with the number of days in a week and you will have your answer." The person did not believe Ali. He checked the answer and found it was correct. The number was 12 x 30 x 7 = 2520

## Math Facts

Most of you in high school have seen the quadratic equation, which tells you how to solve the degree 2 polynomial equation ax² + bx + c = 0.

But the story doesn’t end there. In the 1500s, mathematicians solved the cubic equation (degree 3), which is just one step up: ax³ + bx² + cx + d = 0. The corresponding solution is far more complicated:

Now...how do you solve a quartic equation (degree 4): ax⁴ + bx³ + cx² + dx + e = 0?

At this point, the formula is absolutely ridiculous:

At this point, the formula is absolutely ridiculous:

Now breathe a sigh of relief, because I’m not going to show you the formula for the next step up, the quintic equation (degree 5): ax⁵ + bx⁴ + cx³ + dx² + ex + f = 0, because it doesn’t exist!

It’s not that we haven’t found it yet; we actually proved it’s impossible!

In fact, for any polynomial with degree 5 or higher, there is no solution in roots.

It’s not that we haven’t found it yet; we actually proved it’s impossible!

In fact, for any polynomial with degree 5 or higher, there is no solution in roots.

## Math Tricks

Kaprekar Number 6174 Theory | The number 6174 is the only unchanged mysterious number discovered by Kaprekar's operation. Discover the mystery behind the 6174 loop by using any four digit number.

**Kaprekar Number 6174 Theory**

Rules

Step 1

Select any four digit number, but do not select the ones in which all the four digits are the same like 1111, 2222, ...

Step 2

Arrange the digits in decreasing order.

Step 3

Arrange the digits in increasing order.

Step 4

Subtract the smaller number from the larger number.

Step 5

Repeat the steps 2, 3 and 4 until you get 6174 in repetition.

Example 1

Step 1 : 4 digit number is 5620.

Step 2 : Arrange decreasing order : 6520

Step 3 : Arrange increasing order : 0256

Step 4 : Subtract the smaller number from the larger number : 6520 - 0256 = 6264

Step 5 : Take the final result and repeat the steps 2, 3, and 4 until you get the repetition of 6174.

Example 2

6264 = 6642 - 2466 = 4176

4176 = 7641 - 1467 = 6174

6174 = 7641 - 1467 = 6174

Have fun with this math trick and discover why all the 4 digit numbers on subtracting using the kaprekar operation reach to the mysterious number 6174.

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