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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.....
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Hi there,
Archived GMAT Club Tests question - no more replies possible.
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Still interested? Check out the "Best Topics" block above for better discussion and related questions.
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