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Re: Number Properties [#permalink]
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SRJ777 wrote:
Does the positive integer n have at least 3 positive prime factors?

1)n/10 is an integer
2)n/30 is an integer

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Question: Does n have atleast 3 prime factors?

Statement 1: n/10 is an integer
i.e n is divisible 2 and 5 for sure
but there may (if n = 30) or may not (if n = 10) be a third prime factors hence

NOT SUFFICIENT

Statement 2: n/30 is an integer
i.e. n is divisible by 2, 3 and 5 hence it is definitely divisible by atleast 3 prime factors

SUFFICIENT

Answer: Option B
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Does the positive integer n have at least 3 positive prime factors? [#permalink]
Bunuel wrote:
Does the positive integer n have at least 3 positive prime factors?

(1) n/10 is an integer.
(2) n/30 is an integer.


imo B ..
1: n/10 is an integer
i.e n is divisible 2 and 5
but there may (if n = 60) or may not (if n = 100) be a third prime factors .....NOT SUFFICIENT

2: n/30 is an integer
i.e. n is divisible by 2, 3 and 5 =>> definitely it will have at least 3 prime factors ===>>SUFFICIENT
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Does the positive integer n have at least 3 positive prime factors? [#permalink]
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