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Is 30 a factor of n? (1) 30 is a factor of n^2 (2) 30 is a

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Senior Manager
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Is 30 a factor of n? (1) 30 is a factor of n^2 (2) 30 is a [#permalink] New post 22 Aug 2006, 21:25
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A
B
C
D
E

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Is 30 a factor of n?

(1) 30 is a factor of n^2
(2) 30 is a factor of 2n

A) Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
B) Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
C) Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
D) Each statement alone is sufficient to answer the question.
E) Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.
CEO
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 [#permalink] New post 22 Aug 2006, 22:31
C

St1:
True for n^2 = 900
False for n^2 = 60: INSUFF

St2:
True for 2n = 60
False for 2n = 30: INSUFF

Together:
n must be an integer. So n could be 15,30,45,60......
But squares of odd values are not divisible by 30. So n is 30,60,90.....
Hence 30 is a factor of n.: SUFF
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 [#permalink] New post 23 Aug 2006, 05:35
OK I am with C as well..but my approach is slightly different

the question is are the prime factors of n=2,3 and 5?

1) n^2= has factors 2,3 and 5...but we dont know anything about n...Insuff
2) 2n= has prime factors 2, 3 and 5..well we can just cancel out the 2s...so we know n has prime factors 3 and 5...for sure..insuff

combining...well n^2= has a prime factor of 2, so n must have 2 (we got that from st1) and we know that n has prime factors (3 and 5) from st.2...Sufficient..
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 [#permalink] New post 23 Aug 2006, 09:07
right fresinha12. I took the same approach .. got C as the answer.
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  [#permalink] 23 Aug 2006, 09:07
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