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DS_Arithmetic

This topic has 1 expert reply and 1 member reply
paresh_patil Senior | Next Rank: 100 Posts Default Avatar
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DS_Arithmetic

Post Sun Mar 10, 2013 3:04 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    What is the tenth digit in the decimal representation of a certain number?
    (1) The number is less than 1/3
    (2) The number is greater than 1/4

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    Post Sun Mar 10, 2013 3:26 am
    paresh_patil wrote:
    What is the tenth digit in the decimal representation of a certain number?
    (1) The number is less than 1/3
    (2) The number is greater than 1/4
    Clearly none of the statements are individually sufficient.

    1 & 2 Together: The number is less than 1/3 = 0.33... but greater than 1/4 = 0.25
    Consider the following two cases..

      The number = 0.29 ---> Tenth's digit = 2
      The number = 0.30 ---> Tenth's digit = 3

    Not sufficient

    The correct answer is E.

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    Post Sun Mar 10, 2013 3:30 am
    paresh_patil wrote:
    What is the tenth digit in the decimal representation of a certain number?
    (1) The number is less than 1/3
    (2) The number is greater than 1/4
    Statement 1: The number is less than .33333333...
    Statement 2: The number is greater than .25.

    x=.26 satisfies both statements, in which case the tenths digit is 2.
    x=.31 satisfies both statements, in which case the tenths digit is 3.
    Thus, the two statements combined are INSUFFICIENT.

    The correct answer is E.

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