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Mar
28
awarded  Yearling
Feb
11
revised How many positive integers $< 1{,}000{,}000$ contain the digit $2$?
deleted 9 characters in body
Feb
11
revised How many positive integers $< 1{,}000{,}000$ contain the digit $2$?
edited body
Feb
11
revised How many positive integers $< 1{,}000{,}000$ contain the digit $2$?
added 141 characters in body
Feb
11
answered How many positive integers $< 1{,}000{,}000$ contain the digit $2$?
Nov
19
answered Prove if $56x = 65y$ then $x + y$ is divisible by $11$
Nov
3
answered Proving that $A \cap (A \cup B) = A$ . Please check solution
Oct
28
comment How to prove $\cos ^6x+3\cos ^2x\space \sin ^2x+\sin ^6x=1$
@CasperLi: I thought it was well known identity. For a proof I have added a spoiler
Oct
28
revised How to prove $\cos ^6x+3\cos ^2x\space \sin ^2x+\sin ^6x=1$
added 465 characters in body
Oct
26
answered How to prove $\cos ^6x+3\cos ^2x\space \sin ^2x+\sin ^6x=1$
Aug
7
comment What would have been our number system if humans had more than 10 fingers? Try to solve this puzzle.
@VISHNUVIVEK: I am working with Oracle. I though B.Stat/M.Stat in ISI, but any case IIT Madras is also a tough nut to crack :-)
Aug
7
revised What would have been our number system if humans had more than 10 fingers? Try to solve this puzzle.
edited body
Aug
7
comment What would have been our number system if humans had more than 10 fingers? Try to solve this puzzle.
It was asked during PG admission to India's top university.. What is the name of the University?
Aug
7
comment What would have been our number system if humans had more than 10 fingers? Try to solve this puzzle.
The reason you get $10_{10}$ as one of the solution of the equations when you substitute the root $5_{10}$ in the equation is because, $5_{10}$ is the solution of the equation $5_{10}x^{2_{10}}+50_{10}x+125_{10}=0$. In similar ways, you get $25_{10}$ as one of the solution when you substitute the root $8_{10}$ as it is the solution of the equation $5_{25}x^{2_{25}}+50_{25}x+125_{25}=0_{25}$. Note, the subscript denotes the base of the number.
Aug
6
revised What would have been our number system if humans had more than 10 fingers? Try to solve this puzzle.
edited body
Aug
6
answered What would have been our number system if humans had more than 10 fingers? Try to solve this puzzle.
Aug
6
awarded  Nice Answer
Aug
6
answered What would have been our number system if humans had more than 10 fingers? Try to solve this puzzle.
Aug
6
revised What would have been our number system if humans had more than 10 fingers? Try to solve this puzzle.
deleted 7 characters in body
Aug
6
revised What would have been our number system if humans had more than 10 fingers? Try to solve this puzzle.
added 10 characters in body