SLMO-2010 Q26

Algebra Level pending

A grasshopper jumps on a straight-line in both directions .He starts at point A and jumps with lengths 1 cm, 2 cm, 3 cm, ... in increasing order. Which of the following is (are) true?

I .He cannot return to A in 4 jumps.
II .He cannot return to A in 2010 jumps.
III. He cannot return to A in 4020 jumps

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