# Q. 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?

(a) Both S1 and S2 are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.

(b) S1 alone is sufficient to answer the Question.

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

(d) S2 alone is sufficient to answer the Question.

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

#### Question from UPSC Prelims 2020 CSAT Paper

**Explanation : **

## Pages in a Book

Statement S1 tells us that there are not more than two figures on any page of the book, and there are 51 pages in the book. So, the maximum number of figures that could be in the book would be if every page had two figures, which would be 102 figures (2 figures/page x 51 pages).

Statement S2 tells us that there is at least one figure on every page. So, the minimum number of figures in the book would be 51 figures (1 figure/page x 51 pages).

However, the information given by S1 and S2 does not allow us to determine the exact number of figures in the book.

Therefore, we cannot answer the question of whether there are more than 100 figures in the book based on the information provided by S1 and S2 alone.