# Quant by Erudite

8 Posts  ·  5 Users
*A number has 6 different digits. If the last digit is moved to the front, then a new number is formed which is exaclty 5 times the old number. With which number did we start?*
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ans 5

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o0 i thought he asked the first digit of that no,

anyway i don't think one can calculate it by any means
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@Erudite.Cat said:A number has 6 different digits. If the last digit is moved to the front, then a new number is formed which is exaclty 5 times the old number. With which number did we start?

Kind of a knowledge based question. It is the property of 7 inverse (reciprocal of 7)

1/7 = 0.142857... Concentrate on 142857. If you shift 7 from its current position, you'd get the fifth multiple of original number.

Just play around with 142857 keeping the relative order same i.e. 428571, 285712, 571428 and you'd see the magic.. Happy learning!

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i mean even if the last digit becomes the first digit ... ei

abcdef becomes fabcde right? but we also know fabcde is 5 times abcdef ! that is it still remains a six digit no. abcdef can only remain a six digit no after multiplying by 5 if it's first digit is 1 otherwise it will become 7 digit no atleast
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@[592477:constanza]

no