Describe Yourself?

Find the ten digit Number which describes itself i.e first digit tells us the number of 0's in the number, second digit tells us the number of 1's in the number and so on.

Ex. 21200 is a 5 digit number that describes itself.


The answer is 6210001000.

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2 solutions

John Jo
Jul 4, 2016

6210001000 -The last digits must be zero, then you have to put a number of that zeros in tge first place (6) and so on you get it right

Jihoon Kang
Mar 31, 2015

9000000000 is also a solution

no it's not

the last digit shouuld tell the number of 9 9 s, thus it should be 1 1 , but then that destroys everything.

Vaibhav Prasad - 6 years, 2 months ago

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Hey,!Which class r u in?How did u discover that formula u posted in the 5D problem?What was ur rank in FTRE?Did u take RMO,r u preparing for it,how?

Adarsh Kumar - 6 years, 2 months ago

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Please post a solution for the problem,Weirdo Equations 2.

Adarsh Kumar - 6 years, 2 months ago

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@Adarsh Kumar I'll be in class 10 from this April.

The formula I posted in 5D problem was inspired from the solution to 2D problem.

FTRE rank(2014) : 416

I took RMO this year. But without any preparation, and thus was able to solve only one question.

Yes I'm preparing for it now, using brilliant and some books recommended on the HBCSE website.

Wierdo equations 2 is quite a lengthy problem.

Vaibhav Prasad - 6 years, 2 months ago

Of course. My bad :)

Jihoon Kang - 6 years, 2 months ago

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