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

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Manager
Joined: 14 Dec 2011
Posts: 76
Followers: 0

Kudos [?]: 54 [0], given: 74

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

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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.

Thanks & Regards
Vinni
Current Student
Joined: 27 Jun 2012
Posts: 412
Concentration: Strategy, Finance
Followers: 86

Kudos [?]: 841 [1] , given: 184

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

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18 Jan 2013, 11:28
1
KUDOS
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.
_________________

Thanks,
Prashant Ponde

Tough 700+ Level RCs: Passage1 | Passage2 | Passage3 | Passage4 | Passage5 | Passage6 | Passage7
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Manager
Joined: 14 Dec 2011
Posts: 76
Followers: 0

Kudos [?]: 54 [0], given: 74

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

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18 Jan 2013, 13:31

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
Current Student
Joined: 27 Jun 2012
Posts: 412
Concentration: Strategy, Finance
Followers: 86

Kudos [?]: 841 [0], given: 184

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

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18 Jan 2013, 15:26
vinnik wrote:

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.
_________________

Thanks,
Prashant Ponde

Tough 700+ Level RCs: Passage1 | Passage2 | Passage3 | Passage4 | Passage5 | Passage6 | Passage7
VOTE GMAT Practice Tests: Vote Here
PowerScore CR Bible - Official Guide 13 Questions Set Mapped: Click here

Re: M02 Q18 Is the total number of divisors of x^3 a multiple   [#permalink] 18 Jan 2013, 15:26
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# M02 Q18 Is the total number of divisors of x^3 a multiple

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