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26 Oct 2009, 21:07
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How many divisors does positive integer N has got
1)The difference between the largest and the smallest divisor of N is 21
2) N+1 has 2 divisors
OA is A.
Take statement 1, smalles divisor of any number is 1, largest divisor is 22 if the difference is 21.
Take N = 44, it has got 1,2,4,11 and 22, now take 22, it has got 1,2,11 & 22. so A is not sufficient
Take statement 2, N+1 has 2 divisors, meaning N+1 is a prime number hence not sufficient
combining A & B also is not sufficient, hence correct choice is E.
Please advise with explanation
1)The difference between the largest and the smallest divisor of N is 21
2) N+1 has 2 divisors
OA is A.
Take statement 1, smalles divisor of any number is 1, largest divisor is 22 if the difference is 21.
Take N = 44, it has got 1,2,4,11 and 22, now take 22, it has got 1,2,11 & 22. so A is not sufficient
Take statement 2, N+1 has 2 divisors, meaning N+1 is a prime number hence not sufficient
combining A & B also is not sufficient, hence correct choice is E.
Please advise with explanation
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27 Oct 2009, 06:38
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dzyubam
silly me.....it can only be 22 then.....
Archived Topic
Hi there,
Archived GMAT Club Tests question - no more replies possible.
Where to now? Try our up-to-date Free Adaptive GMAT Club Tests
for the latest questions.
Still interested? Check out the "Best Topics" block above for better discussion and related questions.
Thank you for understanding, and happy exploring!
