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Alternative to solve dis?

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by AIM TO CRACK GMAT » Fri Mar 15, 2013 8:12 am
What is the length og the sequence of different digits in the decimal equivalent of 3/7 ??

OA- 6


Is there any other method other than the long division jus to chek d length??
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by Anju@Gurome » Fri Mar 15, 2013 8:26 am
AIM TO CRACK GMAT wrote:Is there any other method other than the long division jus to chek d length??
Yes, there is.
But that is based on the results after division only and you can remember the result.

When any integer which is not multiple of 7 is divided by 7, the digits after the decimal are 1, 4, 2, 8, 5, and 7, in the same order, cyclically.

For example,
  • 1/7 = 0.142857142857...
    2/7 = 0.285714285714...
    3/7 = 0.428571428571...
Anju Agarwal
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Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.

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by AIM TO CRACK GMAT » Fri Mar 15, 2013 8:54 am
Anju@Gurome wrote:
AIM TO CRACK GMAT wrote:Is there any other method other than the long division jus to chek d length??
Yes, there is.
But that is based on the results after division only and you can remember the result.

When any integer which is not multiple of 7 is divided by 7, the digits after the decimal are 1, 4, 2, 8, 5, and 7, in the same order, cyclically.

For example,
  • 1/7 = 0.142857142857...
    2/7 = 0.285714285714...
    3/7 = 0.428571428571...

That was verryy informative anju... thanks
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