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the positive integer J

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by gmat740 » Fri Apr 10, 2009 7:56 am
Wow!!
It seems there are so many stuffs which can be discussed under the DS thread :D

Anyways,

I hope Cramya, you are maintaining your unbeaten legacy!!

By the way I have posed a few more LSAT CR's, probably you will like solving them

Do check them Out

Regards

Karan
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by vittalgmat » Fri Apr 10, 2009 9:33 am
sanju09 wrote:J is not given equal to 30, cramya!

J cannot be 500, hypic21!

J cannot take 0 value, vittalgmat!

Now, when the two statements were taken together, we realize that J being a positive integer divisible by 30, would have 2, 3, 5 and/or more prime factors, whereas k = 1000 has only two prime factors, 2 and 5.

Hence, yes! The positive integer J is divisible by a greater number of different prime numbers than the positive integer k.

Why not C, links? :roll:
Here are the two interpretations that are possible.

1. Is the number of prime factors of J less than K factors?
To explain: Let J has 3 prime factors: ie 3, 5 7. And K = 1000.
3 < 1000 Yes
Let J have 2000 prime factors. ie J is the prod of 5*7* ... * 1998 factors
Now ans is NO.

2. Is the number of prime factors of J less than THAT of K ?

Here K = 1000. Find the number of prime factors of K.

I understood as 1 but u intended to mean 2. That is probably where the confusion is.

Now we all know :-)
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