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## GMAT - Data Sufficiency - Statistics

### A certain bookcase has 2 shelves of books. On the upper shelf, the book with the greatest number of pages has 400 pages

A certain bookcase has 2 shelves of books. On the upper shelf, the book with the greatest number of pages has 400 pages. On the lower shelf, the book with the least number of pages has 475 pages. What is the median number of pages for all of the books on the 2 shelves?

(1) There are 25 books on the upper shelf.
(2) There are 24 books on the lower shelf.

(1) There are 25 books on the upper shelf. - No information about the lower shelf

The statement is insufficient

(2) There are 24 books on the lower shelf.  No information about the upper shelf

The statement is insufficient

Combining both statements

Total number of books = 25 + 24 = 49

Median = (49+1)/2 th book = 25th book if we sort them in ascending order

If arrange both the shelves in ascending order the 25th book will be the book with most pages in the upper shelf = 400 pages

Sufficient