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# The function f is defined for all positive integers n by the

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Joined: 31 Dec 1969
Location: India
Concentration: General Management, Strategy
GMAT 1: 710 Q49 V0
GMAT 2: 740 Q40 V50
GMAT 3: 700 Q48 V38
GPA: 3.6
Followers: 0

Kudos [?]: 88 [0], given: 87003

The function f is defined for all positive integers n by the [#permalink]  18 May 2008, 11:06
2. The function f is defined for all positive integers n by the following rule: f(n) is the number of positive integers each of which is less than n and has no positive factor in common with n other than 1. If p is any prime number than f(p) =

a) p-1
b) p-2
c) p+1/2
d) p-1/2
e) 2
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Joined: 23 Sep 2007
Posts: 797
Followers: 5

Kudos [?]: 99 [0], given: 0

Re: GMATPrep 2 - function problem [#permalink]  18 May 2008, 15:32
the statement is saying that F(5) is the number of positive integers each of which is less than 5

so you have F(5) = 4

(1, 2, 3, 4) four numbers
Joined: 31 Dec 1969
Location: India
Concentration: General Management, Strategy
GMAT 1: 710 Q49 V0
GMAT 2: 740 Q40 V50
GMAT 3: 700 Q48 V38
GPA: 3.6
Followers: 0

Kudos [?]: 88 [0], given: 87003

Re: GMATPrep 2 - function problem [#permalink]  19 May 2008, 01:57
I see... I was reading it as if the integers also had to be prime factors which was where I was confused. Thank you.
Re: GMATPrep 2 - function problem   [#permalink] 19 May 2008, 01:57
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# The function f is defined for all positive integers n by the

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