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31 December, 12:45

A newspaper has more than 30 pages and fewer than 40 pages. The newspaper is divided into selections, and each selection has exactly 8 pages. How many selections does the newspaper have?

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  1. 31 December, 15:15
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    The newspaper has 4 selections in total.

    Step-by-step explanation:

    Here, the number of pages in each selections = 8

    Now, as the number of selections can not be a fraction or a negative number.

    So, the possible number of selections a paper can have is 1,2,3,4,5, ...

    Total pages in Paper = 8 x (Number of Selections in the paper)

    Now, if the paper has 1 selection, then the total pages in the newspaper

    = 1 x 8 = 8 pages < 30 pages

    If the paper has 2 selection, then the total pages in the newspaper

    = 2 x 8 = 16 pages < 30 pages

    If the paper has 3 selection, then the total pages in the newspaper

    = 3 x 8 = 24 pages < 30 pages

    if the paper has 4 selection, then the total pages in the newspaper

    = 4 x 8 = 32 pages

    if the paper has 5 selection, then the total pages in the newspaper

    = 5 x 8 = 40 pages

    Also, given " A newspaper has more than 30 pages and fewer than 40 pages"

    ⇒ The ONLY possible number of pages in the newspaper = 32

    Hence, the paper has 4 selections in total.
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