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

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Source: — Data Sufficiency |
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Re: If k is a positive integer, does k have more than 3 diff

by sudhir3127 » Sun Aug 24, 2008 10:57 pm
4meonly wrote:If k is a positive integer, does k have more than 3 different prime factors?
(1) k < 200
(2) k > 100

OA after some discussion – I doubt whether OA is correct.
i go with A.

statement 1. K<200

none of the numbers below 200 have 4 different prime numbers ( 2*3*5*7 = 210>200) .. hence sufficient. it tell us none of the numbers <200 have more than 3 different prime factor.

Statement 2 . K> 100 .. insuffcient ..if k =210 then it has 4 different prime factors..

Thus A.

Hope it helps...
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