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Consider a Circle with 100 points numbered 1,2,3,4,…..,99,100. Now their is a tortoise at point numbered 1 and a hare at point numbered 2 and both can only move in clockwise direction only on numbered points. Tortoise can move one point at time for eg :- from 1 to 2,from 2 to 3 and so on and hare can move two points at a time for eg :- from 2 to 4 , from 4 to 6 and so on.They start moving and move at the same time i.e, when tortoise moves from 1 to 2, then hare also moves from 2 to 4. They continue to move like this until they meet at some point. Now find the point at which they meet or if they cannot meet at some point tell why??

in Numerical Ability by (47 points) | 24 views
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After 50 steps where will be those two stand?
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Tortoise will be at point 50 and hare will be at point 100

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Given that T at 1 and move by 1 step, H at 2 and move by 2 steps at a time

After 49 steps, T at 50, H at 100

After 25 steps, T at 75, H at 50

After 13 steps, T at 88, H at 76

After 7 steps, T at 95, H at 90

After 4 steps, T at 99, H at 98

After 1 steps, T at 100, H at 100

 

Total steps : 49+25+13+7+4+1 = 99
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