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# If k is a positive integer, does k have more than 3 differen

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Manager
Joined: 16 Jan 2011
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Kudos [?]: 177 [2], given: 15

If k is a positive integer, does k have more than 3 differen [#permalink]

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30 Jun 2012, 08:22
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Difficulty:

65% (hard)

Question Stats:

44% (00:56) correct 56% (00:45) wrong based on 93 sessions

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If k is a positive integer, does k have more than 3 different prime factors?

(1) k<200
(2) K>100
[Reveal] Spoiler: OA

Last edited by Bunuel on 05 Nov 2013, 09:04, edited 1 time in total.
Edited the OA.

Kudos [?]: 177 [2], given: 15

Math Expert
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 129072 [1], given: 12194

Re: If k is a positive integer, does k have more than 3 differen [#permalink]

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30 Jun 2012, 08:35
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Expert's post
If k is a positive integer, does k have more than 3 different prime factors?

The least positive number tha has 4 (so more than 3) different prime factors is 2*3*5*7=210. So, k cannot be less than 210.

(1) k<200 --> since k<210 then k does not have more than 3 different prime factors. Sufficient.

(2) K>100. Clearly insufficient: if k=prime>100 then the asnwer is NO but if k=2*3*5*7=210 (for example) then the answer is YES. Not sufficient.

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Kudos [?]: 129072 [1], given: 12194

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GMAT 1: 770 Q50 V46
Re: If k is a positive integer, does k have more than 3 differen [#permalink]

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30 Jun 2012, 16:25
Galiya wrote:
If k is a positive integer, does k have more than 3 different prime factors?

(1) k<200
(2) K>100

The OA you have posted is wrong.

Four unique primes: 2*3*5*7 = 210

1) k < 200 < 210 so must omit one of the unique primes. Sufficient
2) k = 2*3*7 or 2*3*5*7. Not sufficient.

A

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Manager
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Re: If k is a positive integer, does k have more than 3 differen [#permalink]

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05 Nov 2013, 09:00
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Hello Mods: Can you please update the OA. Thanks.

Kudos [?]: 29 [1], given: 109

Math Expert
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Kudos [?]: 129072 [0], given: 12194

Re: If k is a positive integer, does k have more than 3 differen [#permalink]

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05 Nov 2013, 09:05
emailmkarthik wrote:
Hello Mods: Can you please update the OA. Thanks.

Edited. Thank you.
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Re: If k is a positive integer, does k have more than 3 differen [#permalink]

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04 Jun 2015, 02:51
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Re: If k is a positive integer, does k have more than 3 differen   [#permalink] 04 Jun 2015, 02:51
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