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Difficulty:
65%
(hard)
Question Stats:
44% (01:26) correct
56%
(01:12)
wrong
based on 121
sessions
History
Date
Time
Result
Not Attempted Yet
If k is a positive integer, does k have more than 3 different prime factors?
(1) k<200
(2) K>100
(1) k<200
(2) K>100
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
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.
Answer: A.
_________________
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.
Answer: A.
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Galiya
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
Hello Mods: Can you please update the OA. Thanks.
emailmkarthik
Edited. Thank you.
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