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The positive two-digit integers x and y

This topic has 2 expert replies and 0 member replies
boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
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The positive two-digit integers x and y

Post Tue May 03, 2016 2:39 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    The positive two-digit integers x and y have the same digits, but in reverse order. Which of the following must be a factor of x + y?

    A) 6
    B) 9
    C) 10
    D) 11
    E) 14

    OA: D

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    Post Tue May 03, 2016 2:56 pm
    boomgoesthegmat wrote:
    The positive two-digit integers x and y have the same digits, but in reverse order. Which of the following must be a factor of x + y?

    A) 6
    B) 9
    C) 10
    D) 11
    E) 14

    OA: D
    The question asks is to find what MUST be true.

    So, a quick and simple solution is to TEST some values. If a statement turns out to be FALSE, we can eliminate that answer choice.

    Let x = 12 and let y = 21
    So, x + y = 12 + 21 = 33

    Now check the answer choices.
    A) 6 is not a factor of 33. ELIMINATE A
    B) 9 is not a factor of 33. ELIMINATE B
    C) 10 is not a factor of 33. ELIMINATE C
    D) 11 IS a factor of 33. KEEP D
    E) 14 is not a factor of 33. ELIMINATE E

    Answer: D

    Cheers,
    Brent

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    Post Tue May 03, 2016 7:50 pm
    Hi boomgoesthegmat,

    This question is perfect for TESTing VALUES (as Brent's approach shows). One of the great aspects about this question is that there are a variety of options that you can use to find the correct answer.

    Brent ended up using 12 and 21, for a total of 33

    But you could also use…
    25 and 52, for a total of 77
    13 and 31, for a total of 44
    23 and 32, for a total of 55
    Etc.

    Final Answer: D

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    Rich

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