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Tens digit

This topic has 1 expert reply and 1 member reply
gmatblood Master | Next Rank: 500 Posts
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Tens digit

Post Fri Nov 04, 2011 10:51 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    What is the tens digt of positive integer x
    (1) x divided by 100 has a remainder of 30
    (2) x divided by 110 has a remander of 30

    IMO: A

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    rijul007 Legendary Member
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    Post Fri Nov 04, 2011 11:05 am
    1.
    x divided by 100 , remainder 30
    x = 130, 230, 330, 430,....

    Tens digit = 3

    Sufficient


    2.
    x divided by 110, remainder 30
    x= 140,250,360,...
    Tens digit = 4/5/6/...

    Insufficient

    Option A

    Thanked by: gmatblood, ariz
    Post Sat Nov 05, 2011 5:33 am
    gmatblood wrote:
    What is the tens digt of positive integer x
    (1) x divided by 100 has a remainder of 30
    (2) x divided by 110 has a remander of 30

    IMO: A
    As rijul007 showed, listing possible values of x is a great approach here.

    To answer questions involving remainders, it's useful to be able to list possible values. So, here's the rule for this:

    If N/D has remainder R, then the possible values of N = R, R+D, R+2D, R+3D, . . .
    Note: N,D and R are non-negative integers.

    Example: If N divided by 7 has remainder 3, then the possible values of N are as follows: 3, 10, 17, 24, 31, 38, etc

    Cheers,
    Brent

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    Thanked by: gmatblood, singalong
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