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

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

by Max@Math Revolution » Thu May 10, 2018 1:07 am

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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 deloitte247 » Tue May 29, 2018 5:48 pm

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We can determine whether an integer is divisible by 4 from its last two digits
Therefore abc0 is divisible by 4 only if 0 is divisible by 4

Statement 1: Does not give information about the value of C so it is not sufficient
Statement 2: Tells us that both b and c are odd numbers with zero as unit digit only then
10*C+0 =10*C (its not a multiple of 4 because C is an odd number)
we will have an answer like
10*1 =10 (not divisible by 4)
10*3 =30 (not divisible by 4)
10*5 =50 (not divisible by 4)
Hence Statement 2 is sufficient and answer= Option B
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