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ds test4 #23

This topic has 2 member replies
dunkin77 Master | Next Rank: 500 Posts Default Avatar
Joined
01 Apr 2007
Posted:
269 messages

ds test4 #23

Post Thu Apr 05, 2007 5:03 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Hi,

    The answer is C) but I am not too sure why A) is a necessary information - please explain... thanks!

    If x and y are positive integers and x is a multiple of y, is y = 2?
    (1) y ≠ 1
    (2) x + 2 is a multiple of y.

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    jayhawk2001 Community Manager
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    Post Thu Apr 05, 2007 9:05 pm
    We are given x = my

    1 - insufficient. Just knowing y != 1 does not help

    2 - insufficient. We have x+2 = ny. Subtracting the 2 equations,
    we get

    x+2 - x = ny - my
    or (n-m)y = 2

    Since we are dealing with +ve integers here, we have 2 possibilities

    n-m = 2, y = 1
    n-m = 1, y = 2

    Taking 1 and 2 together, we know that y!=1, so it boils down to
    n-m = 1, y = 2

    Hence C

    dunkin77 Master | Next Rank: 500 Posts Default Avatar
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    Posted:
    269 messages
    Post Thu Apr 05, 2007 9:43 pm
    Ohh very clear - thank you!! Very Happy

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