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M02 Q18 Is the total number of divisors of x^3 a multiple

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M02 Q18 Is the total number of divisors of x^3 a multiple [#permalink]

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New post 18 Jan 2013, 11:07
Is the total number of divisors of \(x^3\) a multiple of the total number of divisors of \(y^2\) ?

(1) \(x = 4\)
(2) \(y = 6\)

I believe answer is no. I just want to confirm whether i am going to the right direction.
From (1) \(4^3\) = 64 and from (2) \(6^2\) = 36.
# of divisors of 64 are 1,2,4,8,16,32,64
# of divisors of 36 are 1,2,3,4,6,9,12,18,36

Total number of divisors of 64 are not multiple of total number of divisors of 36.


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Vinni

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Re: M02 Q18 Is the total number of divisors of x^3 a multiple [#permalink]

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New post 18 Jan 2013, 11:28
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This is a YES/NO type question. As far as the statement or combination of two statements are 100% SUFFICIENT to answer YES or NO to the question, you can choose that answer choice.

(1) \(x = 4\)
INSUFFICIENT: We dont know y
(2) \(y = 6\)
INSUFFICIENT: We dont know x

Combining (1) & (2)
\(4^3\) = 64 has 7 divisors or factors
\(6^2\) = 36 has 9 divisors or factors

7 is NOT multiple of 9, hence this information SUFFICIENT to answer the question as NO

Hence choice(C) is the answer.
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Prashant Ponde

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Re: M02 Q18 Is the total number of divisors of x^3 a multiple [#permalink]

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New post 18 Jan 2013, 13:31
Thanks PraPon for your reply.

What if the following question was asked :- Are the divisors of \(x^3\) a multiple of the divisors of \(y^2\) ?

then i think answer must be E.

Looking forward to your replies.

Regards
Vinni

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Re: M02 Q18 Is the total number of divisors of x^3 a multiple [#permalink]

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New post 18 Jan 2013, 15:26
vinnik wrote:
Thanks PraPon for your reply.

What if the following question was asked :- Are the divisors of \(x^3\) a multiple of the divisors of \(y^2\) ?

then i think answer must be E.

Looking forward to your replies.

Regards
Vinni


Your question "Are the divisors of \(x^3\) a multiple of the divisors of \(y^2\) ?" is ambiguous.

However If question asks "Is each divisor of \(x^3\) a multiple of the divisors of \(y^2\)?" OR "Are all divisors of \(x^3\) multiple of the divisors of \(y^2\)?", then still the information is SUFFICIENT" to answer the question as NO as you have atleast one fallout/exception case.
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Thanks,
Prashant Ponde

Tough 700+ Level RCs: Passage1 | Passage2 | Passage3 | Passage4 | Passage5 | Passage6 | Passage7
Reading Comprehension notes: Click here
VOTE GMAT Practice Tests: Vote Here
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Re: M02 Q18 Is the total number of divisors of x^3 a multiple   [#permalink] 18 Jan 2013, 15:26
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