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abc0 is a positive, four-digit integer, where a, b and c are

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by Max@Math Revolution » Wed May 09, 2018 11:56 pm

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[GMAT math practice question]

abc0 is a positive, four-digit integer, where a, b and c are 1-digit positive integers. Is abc0 divisible by 4?

1) ab is an odd number
2) bc is an odd number
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Source: — Data Sufficiency |
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by GMATGuruNY » Thu May 10, 2018 2:54 am
Max@Math Revolution wrote:[GMAT math practice question]

abc0 is a positive, four-digit integer, where a, b and c are 1-digit positive integers. Is abc0 divisible by 4?

1) ab is an odd number
2) bc is an odd number
An integer is divisible by 4 only if its last two digits form a multiple of 4.
For example:
93724 is divisible by 4 because its last two digits -- 2 and 4 -- form 24, which is a multiple of 4.
Question stem, rephrased:
Is the integer c0 a multiple of 4?

Statement 1:
No information about c.
INSUFFICIENT.

Statement 2:
Since bc = odd, both b and c must be odd.
Since c must be 1, 3, 5, 7, or 9, we get the following options for c0:
10, 30, 50, 70, 90.
None of the options above is a multiple of 4.
Thus, the answer to the rephrased question stem is NO.
SUFFICIENT.

The correct answer is B.
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