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1: any prime has 2 +ve factors. insuff. 2: only 2 has 2 factors and their diff is odd. 2 - 1 = 1 1 - 2= -1 suff.

Abhishek.pitti wrote:

if the integer n is greater than 1, is n =2????

1) n has exactly 2 positive factors 2)the difference of any two distinct positive factors of n is odd

OG DS 132. I think the solution in OG for this problem is wrong, Please verify if you think the same.

I do not know OG is wrong in any issue. They release questions after several trail and tests. "Why do you think OG solution for this question is wrong"? You would be better if you come out with your explanation. Just a statement that "the solution in OG for this problem is wrong" doesnot work. Share your ideas; no matter whether they are wrong or right. This forum is for give and take: - win - win.
_________________

2)the difference of any two distinct positive factors of n is odd

as per the rules of Data sufficieny, lets look at statement 2

it says ...DIFFERENCE of ANY TWO DISTINCT POSITIVE factors of N

it doesn't say it has only 2 factors. I would agree to pick only answer B if it said that but it DOESN'T

so shouldn't the answer be C.

Any example?

lets see for 2: factors = 1 and 2 = the diff is l1l. For 3: factors = 1 and 3 = the diff is l2l. For 4: factors = 1, 2 and 4 = the diff are l1l, l2l and l3l. For 5: factors = 1 and 5 = the diff is l4l. For 6: factors = 1, 2, 3 and 6 = the diff are l1l, l2l, l2l, l4l, and l5l.

2)the difference of any two distinct positive factors of n is odd

as per the rules of Data sufficieny, lets look at statement 2

it says ...DIFFERENCE of ANY TWO DISTINCT POSITIVE factors of N

it doesn't say it has only 2 factors. I would agree to pick only answer B if it said that but it DOESN'T

so shouldn't the answer be C.

Any example?

lets see for 2: factors = 1 and 2 = the diff is l1l. For 3: factors = 1 and 3 = the diff is l2l. For 4: factors = 1, 2 and 4 = the diff are l1l, l2l and l3l. For 5: factors = 1 and 5 = the diff is l4l. For 6: factors = 1, 2, 3 and 6 = the diff are l1l, l2l, l2l, l4l, and l5l.

Which one you want to pick?

I guess Abhishek missed the word "any" in - DIFFERENCE of ANY TWO DISTINCT POSITIVE factors of N - I did the same mistake and choose answer 'C'