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  1. Home
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Miscellaneous·2020·Easy

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. Are there more than 1oo figures in that book? Which one of the following is correct in respect of the above Statements and the Question?

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. Are there more than 1oo figures in that book? Which one of the following is correct in respect of the above Statements and the Question?

Options

  1. a.

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

  2. b.

    S1 alone is sufficient to answer the Question.

  3. c.

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

    Correct answer
  4. d.

    S2 alone is sufficient to answer the Question.

Explanation

Using Statement 1 alone, the number of figures on any page could range from 0 to 2. Thus, the total number of figures could be anywhere between 0 (if every page contains 0 figures) and 102 (if every page contains 2 figures). Therefore, Statement 1 alone is not sufficient to answer the question definitively. Similarly, Statement 2 alone allows for the number of figures on any single page to range from 1 to infinity, thus not providing a unique answer. Even when combining both statements, the number of figures on any page could be either 1 or 2, leading to a minimum of 51 (if every page contains 1 figure) and a maximum of 102 figures (if every page contains 2 figures). Hence, even by combining both statements, the question cannot be answered definitively.

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