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DS_Arithmetic

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paresh_patil Senior | Next Rank: 100 Posts Default Avatar
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DS_Arithmetic

Post Sun Mar 10, 2013 3:04 am
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 3:30 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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Anju@Gurome GMAT Instructor
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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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