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Q is not that difficut to solve, I have problems understanding the explanation. I feel Ans is C. But official ans is B. Is this a mistake.
consider 8. Two distinct factors are 8 and 1. The diff is 7.
consider 2, then it is 2 and 1, diff is odd. So how come we have Ans B. It is only when we take prime Nos and the diff of their factors odd, we get Ans 2.
Eeither I am getting too good, or too dumb to see the obvious.
Q. If the Integer n is greater than 1, is n equat to 2?
1. n has exactly two +ve factors 2. The difference of any two distinct +ve factors of n is odd
--------------------------- Q is from OG, page 308
1) is any prime number
2) the only way the difference of ANY two distinct +ve factor of n is odd is if there are only two of them. think about it. If there are 3 numbers and the difference between A and B is odd and A and C is odd, then B-C MUST be even. Since N must have 1 as a factor, the only possible number for the second factor is 2.
AkamaiBrah Former Senior Instructor, Manhattan GMAT and VeritasPrep Vice President, Midtown NYC Investment Bank, Structured Finance IT MFE, Haas School of Business, UC Berkeley, Class of 2005 MBA, Anderson School of Management, UCLA, Class of 1993
Thanks Akhamai for confirming my doubts on this one. I came across this post in the past and wonder how everyone could say it was C when, as everyone even mentioned it, 2 was the only answer to the second statement. dj said it himself
B) to prove this we need an even prime number. bet on 2 ...