Frog on lotus leaves

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n(>1)n(>1) lotus leaves are arranged in a circle.A frog jumps from a particular leaf by the following rule:It always moves counter clockwise.From starting point it skips one leaf and jumps to the next.Then it skips 2 leaves and jumps to the following.That is in 33rd jump it skips 33 leaves and in the 44th jump it skips 44 leaves and so on.In this manner it keeps moving round and round the circle of leaves.It may go to one leaf more than once.If it reaches each leaf at least once,then prove that nn(The number of leaves) cannot be odd.

Note:\textbf{Note:}A similar problem came in the entrance examination of the Indian Statistical Institute this year.

Note by Eddie The Head
7 years, 1 month ago

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Not just a similar problem, the same problem.

A Brilliant Member - 7 years, 1 month ago

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I think they asked for somd minimum valurpe right? Thats why I said similar...

Eddie The Head - 7 years, 1 month ago

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Let no. Of leaves which frog jumped is x therefore no.of leaves left is equal to x(x+1)/ total no of leaves is x(x+3)/2...... This is where i reached if nyone canfurtur solve please help

Pratyush Khandelwal - 7 years, 1 month ago

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Brennan Baller - 4 years, 7 months ago

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