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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?
Both S1 and S2 are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.
S1 alone is sufficient to answer the Question.
S1 and S2 together are not sufficient to answer the Question.
S2 alone is sufficient to answer the Question.
Question – Are there more than 100 figures in that book?
Using S1 alone, number of figures on any page could be 0, 1 or 2. So minimum 0 (if every page will contain 0 figures) and maximum 102 figures (if every page will contain 2 figures) are possible. So S1 is not sufficient to answer the question uniquely.
Using S2 alone, number of figures on any single page could 1, 2, 3, … up to infinity. So it is also not sufficient to answer the question alone.
Even combining both we can have either 1 or 2 figures on any page. Which gives us minimum 51 (if every page will contain 1 figure) and maximum 102 figure (if every page will contain 2 figures). So it can’t be answered uniquely even by combining S1 and S2.
By: Brijesh Kumar ProfileResourcesReport error
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