Two Statements S1 and S2 are given below followed by a Question:
S1: There are not more than two figures on any page of a 51-page book.
S2: There is at least one figure on every page.

Question: Are there more than 100 figures in that book?

Which one of the following is correct in respect of the above Statements and the Question?

Correct Option: (c) S1 and S2 together are not sufficient to answer the Question.

Let's analyze the statements for a 51-page book. S1: There are not more than 2 figures on any page (maximum figures per page = 2). S2: There is at least one figure on every page (minimum figures per page = 1). The question asks: Are there more than 100 figures in that book? Using S1 alone: Maximum total figures = 51 pages × 2 figures/page = 102 figures. Since 102 can be greater than 100, but could also be 51 (if each page has 1 figure), S1 alone is not sufficient. Using S2 alone: Minimum total figures = 51 pages × 1 figure/page = 51 figures. This doesn't tell us if it exceeds 100. Using both S1 and S2 together: Total figures can range from 51 (1 per page) to 102 (2 per page). Since 102 > 100, the total number of figures could be 102 (which is > 100) or it could be 51 (which is not > 100). We still cannot definitively answer 'yes' or 'no' to whether there are more than 100 figures. Therefore, both statements together are not sufficient to answer the question. Option (c) is correct.