Posted by **Stranger** on Saturday, April 20, 2013 at 4:45pm.

There are 100 runners, each given a distinct bib labeled 1 to 100. What is the most number of runners that we could arrange in a circle, such that the product of the numbers on the bibs of any 2 neighboring runners, is less than 1000?

- Geometry -
**shashank**, Monday, June 24, 2013 at 2:50am
it is greater than 61

- Geometry -
**shashank**, Monday, June 24, 2013 at 2:51am
it is less than 80

- Geometry -
**shashank**, Monday, June 24, 2013 at 3:14am
it is less than 70

- Geometry -
**shashank**, Monday, June 24, 2013 at 3:18am
it is less than 65

- Geometry -
**subharthi**, Monday, June 24, 2013 at 8:05am
is it 49

- Geometry -
**raja harishchandra**, Tuesday, June 25, 2013 at 5:12am
no tis not 49

- Geometry -
**Calvin L**, Friday, June 28, 2013 at 5:40pm
The Answer is 61.

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