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The numbers in which of the following pairs do NOT have

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

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New post 28 Apr 2012, 21:43
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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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New post 29 Apr 2012, 04:12
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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.

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

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New post 22 Jul 2012, 23:20
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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Re: The numbers in which of the following pairs do NOT have [#permalink]

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New post 23 Jul 2012, 22:03
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:
C

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

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

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New post 12 Sep 2017, 11:26
Hello from the GMAT Club BumpBot!

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Re: The numbers in which of the following pairs do NOT have   [#permalink] 12 Sep 2017, 11:26
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