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GMAT Prep Question

Expert replies
by bjahn » Sat Feb 02, 2008 2:48 pm
The function f is defined for all positive integers 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 then f(p)= ??

(a) p-1

(b) p-2

(c) (p+1) / 2

(d) (p-1) / 2

(e) 2

I dont get why the answer is a, i thought it would be b
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Source: — Problem Solving |

by cris » Sat Feb 02, 2008 2:53 pm
It has to be p-1 because you count 1. With p-2 you will not be counting 1.

Correct me if I am wrong
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by bjahn » Sat Feb 02, 2008 4:30 pm
But doesn't the question say "other than 1" ?? Doesn't this mean 1 should not be counted?
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by Stuart@KaplanGMAT » Sat Feb 02, 2008 6:06 pm
bjahn wrote:But doesn't the question say "other than 1" ?? Doesn't this mean 1 should not be counted?
1 is a positive integer that has no factors in common with n other than 1 (the "other than 1" refers to the factors, not to the integer itself). Therefore, count 1.
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