CAT Exam Numerical Ability Age Problem

If n^2=123456787654321, what is n?

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CAT Other Question

Meera was studying for her examinations and the lights went off. It was around 2:00 AM. She lighted two uniform candles of equal length but one thicker than the other. The thick candle is supposed to last six hours and the thin one three hours. When she finally went to sleep, the thick candle was twice as long as the thin one. For how long did Meera study in candle light? If x^2+y^2=0.1 and |x-y|=0.2, then |x|+|y| is equal to?