An easy but tricky question on numbers

Find the smallest number such that if the first digit is carried and put at the last the new number is thrice the original number.

9 Answers

341
Hari Shankar ·

142857

62
Lokesh Verma ·


3(10na+x)=(10x+a)
a(3.10n-1)=7x

so we need to find n such that 3x10n-1 is a multiple of 7...

then it is a peice of cake :)

a similar trick manish told me long time back.. that was applicable for a simpler such question...

1
SatyaPriya Ojha ·

so far so good..my main point iis .. This number is too peculiar First of all arranging the number cyclically gives multiples of the preceeding number and 1/7 = 0.142857... 142857 is the exact answer.. what is happeneing ?? what is the connection with 1/7

341
Hari Shankar ·

somehow, this qn was on my mind too. I had the same solution as Nishant ans wondered if this meant was a simpler way to get at this result

1
warrior ·

Find the smallest possible number such that if the Last digit is removed and placed at the start the new number becomes the Twice of the original Number?

Suppose

a.............bx is the original number

then

xa............b = 2 a............bx

Find a.............bx ?


If luv is d answer can u plz repeat d question

62
Lokesh Verma ·

1001 is a multiple of 7....

look at 1/13 = 0.0769230769230769230769230....

769230 , 076923, 307692, 230769, 923076 and 692307

These are cyclic and are all multiples of 076923 (I havent seen all of them to be true.. just the first one and the 3rd one :P)

I Hope justification enuf satya ;)

1
shubhi gupta ·

Hey can u explain this once more...... i didn't get this

1
akshay0035 wakode ·

142857
is this correct?

71
Vivek @ Born this Way ·

@nishant sir, explain ur method please.

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