This is the most easiest and interesting question you will get.[Realting to my standard which is very low]

So post the answer today or else i will post the answer.

ABCDEF ,where a,b,c,d,e,f are digits of the number.let the no. be N

N*2=CDEFAB

N*3=BCDEFA

N*4=EFABCD

N*5=FABCDE

N*6=DEFABC

Find the number.

Hint: James Bond

Don't guess give the solution and the answer is wrong.



Hint:2



It is in the decimal of a ratio that we usually use.



I have told the answer just post the answer.

And sir how can we relate it with james bond?

The answer is 142857.

How?

Each digit must be distinct and none of them is a  zero. No zeros because we have A or B or C etc. as the first digit in the numbers which therefore can't be zero. When multipled by the highest number, 6, the no.of digits is still six i.e. ABCDEF * 6 = DEFABC. So, DEFABC can at most be 987654. Divide this by 6 to get ABCDEF and this would mean that A has to be 1.

Rest is easy. ABCDEF * 3 = BCDEFA. Since A is 1, F must be 7 so that 7*3 = 21, leaving A as the last digit. With F known, do I need to add anything? ABCDEF * 4= EFABCD. So D must be 8 since F=7, and so on. Given below are the 5 numbers which we get when we multiple 142857 by 2,3,4,5,6.

285714

428571

571428

714285

857142

Cheers

@rudra: 1/007 = 0.142857