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# The numbers in which of the following pairs do NOT have

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Senior Manager
Status: May The Force Be With Me (D-DAY 15 May 2012)
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The numbers in which of the following pairs do NOT have [#permalink]

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28 Apr 2012, 20:43
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75% (01:59) correct 25% (00:58) wrong based on 140 sessions

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The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common ?

A. 10 and 20
B. 12 and 18
C. 24 and 32
D. 21 and 63
E. 22 and 88
[Reveal] Spoiler: OA

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Re: The numbers in which of the following pairs do NOT have [#permalink]

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29 Apr 2012, 03:12
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Expert's post
boomtangboy wrote:
The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common ?

A. 10 and 20
B. 12 and 18
C. 24 and 32
D. 21 and 63
E. 22 and 88

There is no need to make prime factorization of all numbers and to check whether they have a pair of distinct prime divisors in common.

32 has only one prime 2 (32=2^5) in its prime factorization, so it can not have a PAIR of distinct prime divisors in common with ANY of the numbers.

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Kudos [?]: 5 [0], given: 94

Re: The numbers in which of the following pairs do NOT have [#permalink]

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22 Jul 2012, 22:20
Hi Bunuel,
I did not understand this. It is such a simple one I believe, but, could you please explain me by showing prime factorization of all the options given and explain me?
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Kudos [?]: 31 [0], given: 10

Re: The numbers in which of the following pairs do NOT have [#permalink]

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23 Jul 2012, 21:03
I worked down from A, but Bunuel solution is ingenious.

The problem states...."The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common ?"

32 only has 2 as a prime factor so clearly not a distinct pair, thus it's automagically
[Reveal] Spoiler:
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Re: The numbers in which of the following pairs do NOT have [#permalink]

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10 Oct 2013, 09:27
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Re: The numbers in which of the following pairs do NOT have [#permalink]

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05 Dec 2015, 02:28
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The numbers in which of the following pairs do NOT have   [#permalink] 05 Dec 2015, 02:28
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