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 :
PROBLEM: Can we determine if there are more than 100 figures in the book?
GIVEN:
Statement S1: Not more than 2 figures on any page; 51 pages
Statement S2: At least 1 figure on every page
ANALYSIS:
1. Maximum figures possible:
– 2 figures/page × 51 pages = 102 figures
2. Minimum figures possible:
– 1 figure/page × 51 pages = 51 figures
3. Range of possible total figures:
51 to 102 figures
CONCLUSION: Cannot determine if there are more than 100 figures
REASON: The actual number could be anywhere between 51 and 102 figures
ANSWER: Given information is insufficient to answer the question