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29 Jul 2015, 01:15
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C
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Difficulty:
5%
(low)
Question Stats:
86% (00:59) correct
14%
(01:07)
wrong
based on 100
sessions
History
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Time
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Not Attempted Yet
If \(y\) is an integer, is \(y^2\) divisible by 15?
1) \(\sqrt{y}\) is divisible by 3
2) \(\sqrt{y}\) is divisible by 5
1) \(\sqrt{y}\) is divisible by 3
2) \(\sqrt{y}\) is divisible by 5
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
29 Jul 2015, 01:21
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If \(y\) is an integer, is \(y^2\) divisible by 15?
(1) \(\sqrt{y}\) is divisible by 3 --> y is divisible by 3^2 = 9. Not sufficient.
2) \(\sqrt{y}\) is divisible by 5 --> y is divisible by 5^2 = 25. Not sufficient.
(1)+(2) y is divisible by both 3 and 5, so it's divisible by LCM of 3 and 5, which is 15. Therefore y^2 must also be divisible by 15. Sufficient.
Answer: C.
(1) \(\sqrt{y}\) is divisible by 3 --> y is divisible by 3^2 = 9. Not sufficient.
2) \(\sqrt{y}\) is divisible by 5 --> y is divisible by 5^2 = 25. Not sufficient.
(1)+(2) y is divisible by both 3 and 5, so it's divisible by LCM of 3 and 5, which is 15. Therefore y^2 must also be divisible by 15. Sufficient.
Answer: C.
27 Dec 2023, 04:44
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