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JEE Advanced 2013 Mathematics question

MathematicsSequence and SeriesJEE Advanced 2013

A pack contains n cards numbered from 1 to n. Two consecutive numbered cards are removed from the pack and the sum of the numbers on the remaining cards is 1224. If the smaller of the numbers on the removed cards is k, then k − 20 =

Answer: 5

Solution

, with . Since must slightly exceed 1225: n = 49

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Question ID VK-026180