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fairly simple DS 2

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fairly simple DS 2

by navami » Mon Sep 05, 2011 8:14 am
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.



[spoiler]IMO C...

'n' can be ROOT(30) in that case we need to consider both the option. [/spoiler]
This time no looking back!!!
Navami
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Source: — Data Sufficiency |
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by knight247 » Mon Sep 05, 2011 2:33 pm
Ur rite. The answer is C

(1) if n^2=3600 then n=60 and 30 is a factor
n could be √30 then n^2=30 and 30 is not a factor. INSUFFICIENT
(2)n=45 then 2n=90 and 30 is a factor of 2n but not n
n=60 then 2n=120 and 30 is a factor of 2n and n. INSUFFICIENT

Combining both we have both n^2 and 2n are divisible by 30. This eliminates the possibility of n=√30. So n is some integer multiple of 30 and is >=30. Hence C
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