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# A positive integer n is said to be prime-saturated if the

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Manager
Joined: 16 Oct 2008
Posts: 54
A positive integer n is said to be prime-saturated if the [#permalink]

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30 Oct 2008, 00:55
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

A positive integer n is said to be “prime-saturated” if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two-digit prime-saturated integer?

A. 99
B. 98
C. 97
D. 96
E. 95

P.S what is “prime-saturated” mean?
SVP
Joined: 17 Jun 2008
Posts: 1507

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30 Oct 2008, 01:19
It should be D.

The question does explain the meaning of prime saturated. It is the number for which the product of different prime numbers is less than the sqaure root of the number itself.

Thus, for 96, different prime numbers are 2 and 3 as 96 = 3*2^5 and product of 2 and 3 is less than square root of 96.
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Joined: 29 Aug 2007
Posts: 2457

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30 Oct 2008, 22:12
Natasha0123 wrote:
A positive integer n is said to be “prime-saturated” if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two-digit prime-saturated integer?

A. 99
B. 98
C. 97
D. 96
E. 95

P.S what is “prime-saturated” mean?

“Prime-saturated” doesnot mean any algebric or airthemetic meaning. It is not found in any math except in this gmat math question. Its a term given to define a particular variable in a particular question. You can say "prime multiple", "prime times" etc. You can give any name.
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Re: No. prop Q   [#permalink] 30 Oct 2008, 22:12
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# A positive integer n is said to be prime-saturated if the

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