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division

This topic has 2 member replies
Chrystelle Junior | Next Rank: 30 Posts Default Avatar
Joined
07 Dec 2006
Posted:
19 messages

division

Post Fri Jan 12, 2007 7:00 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    What is the remainder when x is divided by 12?
    1) (x-3) is divisible by 4
    2) (x-27) is divisible by 36

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    thankont Senior | Next Rank: 100 Posts
    Joined
    15 Dec 2006
    Posted:
    41 messages
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    1 members
    Post Fri Jan 12, 2007 8:16 am
    1) x-3 = 4k => x = 4k + 3 put k=3,4,5,6, etc. and get 15,19, 23 etc so remainders (when divided by 12) are 3, 7, 11 (different so A is insuff.)
    2) x-27 = 36k => x= 36k+27 = 3*12k+27 = 3*12k+3*12+3 =
    =3m+3 so remainder is 3 when x is divided by 12 (same so B sufficient)

    Chrystelle Junior | Next Rank: 30 Posts Default Avatar
    Joined
    07 Dec 2006
    Posted:
    19 messages
    Post Sun Jan 14, 2007 9:39 am
    thanks thankot

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