Since 22 = 2 * 11, 22 is a factor of Z if both
A) 2 is a factor of Z
B) 11 is a factor of Z
St 1:
If 22 is a factor of 15Z, 2 and 11 are both factors of 15Z.
Since 15=3*5, neither the 2 nor the 11 is coming from the 15, so they must both come from Z.
That means 22 is a factor of Z. Sufficient.
St 2:
If 22 is a factor of 16Z, 2 and 11 are both factors of 16Z.
Since 16=2^4, the 2 could have come from the 16, rather than from the Z.
That means 11 is a factor of Z, but 22 is not necessarily a factor of Z, though it might be. Insufficient.
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Source: Beat The GMAT — Data Sufficiency |
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GMAT Boost offers 250+ challenging GMAT Math practice questions, each with a thorough video explanation, and 100+ GMAT Math video tips, each 90 seconds or less.
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Also, check out the most useful GMAT Math blog on the internet here.
