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InterviewSolution
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3. A note book is made up of sheets folded in themiddle and stapled. Each sheet forms two leavesi.e., four pages. On removing some papers of thefirst-half and second-half of the book, Joe foundthe number of the leaves in the first case as odd andin the second-case as even. If the sum of the num-bers of the pages on the last leaf of the book is 63,then what could be the maximum possible sum ofthe numbers on the pages of leaves that were left inthe book? |
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Answer» We know that the two last pages are 31 and 32 since their sum is 63. So the pages in the first half of the book are 1-16, and the second half 17-32. He removed odd number of leaves in the first half (1 - smallest) and even number in second half (2-smallest). To maximize the sum of whats left, he should be removing pages 1&2 from first half and pages 17,18,19 &20 from second half. Total number of pages is (1+32)(16) = 528. Subtract the pages that were removed. 528 - (1+2+17+18+19+20) = 451 Like my answer if you find it useful! |
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