From OG11, DS-132:
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If the integer n is greater than 1, is n equal to 2?
1) n has exactly two positive factors
2) The difference of any two distinct positive factors of n is odd
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Statement 1:
This tells us n is a prime number. No further info. INSUFFICIENT.
Statement 2:
The number 2 agrees with this statement. The difference between 2 and 1 (the only two distinct factors of 2) is 1, which is odd.
HOWEVER, if n=24, the difference between 8 and 3 (two distinct factors of 24) is 5, which is also odd.
Therefore, I think the answer should be E (neither statement is sufficient).
However, the guide says that "no integer greater than 2 satisfies" statement 2.
What am I missing?
NN
------------
If the integer n is greater than 1, is n equal to 2?
1) n has exactly two positive factors
2) The difference of any two distinct positive factors of n is odd
------------
Statement 1:
This tells us n is a prime number. No further info. INSUFFICIENT.
Statement 2:
The number 2 agrees with this statement. The difference between 2 and 1 (the only two distinct factors of 2) is 1, which is odd.
HOWEVER, if n=24, the difference between 8 and 3 (two distinct factors of 24) is 5, which is also odd.
Therefore, I think the answer should be E (neither statement is sufficient).
However, the guide says that "no integer greater than 2 satisfies" statement 2.
What am I missing?
NN
