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Difficult Math Question #44 - Ratios

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800guy Master | Next Rank: 500 Posts Default Avatar
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Difficult Math Question #44 - Ratios

Post Wed Nov 01, 2006 11:00 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    There 3 kinds of books in the library fiction, non-fiction and biology. Ratio of fiction to non-fiction is 3 to 2; ratio of non-fiction to biology is 4 to 3, and the total of the books is more than 1000?which one of following can be the total of the book?

    A 1001 B. 1009 C.1008 D.1007 E.1006

    Thanked by: abfromcs
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    limits660 Senior | Next Rank: 100 Posts
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    Post Wed Nov 01, 2006 2:53 pm
    You really should watch your punctuation on your questions. The question mark after 1000 is improper and confusing.

    I believe the answer is E but dont quote me on that 8)

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    ajith Legendary Member
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    Post Wed Nov 01, 2006 7:56 pm
    800guy wrote:
    There 3 kinds of books in the library fiction, non-fiction and biology. Ratio of fiction to non-fiction is 3 to 2; ratio of non-fiction to biology is 4 to 3, and the total of the books is more than 1000?which one of following can be the total of the book?

    A 1001 B. 1009 C.1008 D.1007 E.1006
    Fiction:Nonfiction = 3:2=6:4
    nonfiction:biology= 4:3

    Fiction:Nonfiction:biology=6:4:3
    And books can exist only in integral numbers
    ie total no of books has to be a multiple of 6+4+3 =13

    only A is a multiple of 13 in the answers

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    rajs.kumar Senior | Next Rank: 100 Posts Default Avatar
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    Post Thu Nov 02, 2006 3:50 am
    Answer is A

    F:NF = 3:2
    NF:B = 4:3

    F:NF:B = 6:4:3

    the number of books should be divisable by the total => 1001

    800guy Master | Next Rank: 500 Posts Default Avatar
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    Post Fri Nov 03, 2006 1:10 pm
    OA:

    fiction : non-fiction = 3 : 2 = 6 : 4
    non-fiction : biology = 4 : 3

    fiction : non-fiction : biology = 6 : 4 : 3

    6x + 4x + 3x = 1000
    x = 76 12/13
    if we add 1, 13 will divide evenly (1001/13 = 77)
    1000 + 1 = 1001

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