A note book is made up of sheets folded in the middle and stapled. Each sheet form two leaves i.e., four pages. On removing some papers of the first half and second half of the book, Joe found the number of the leaves, in the first case as odd and in the second case as even. If the sum of the numbers of the pages on the last leaf of the book is 63, then what could be the maximum possible sum of the numbers on the pages of leaves that were left in the book.

Options

A. 435
B. 420
C. 451
D. 471

Answer

C

Explanation

(i) Removed leaves should be minimum
(ii) Let the numbers on the last sheet be x and `x+1`
(iii) Let `x+x+1=63` and find x.
(iv) Let the sum of numbers on the pages torn be the minimum.
(v) Deduct the sum of numbers on the pages from the total number of pages.