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GMAT math test - number properties 3 qn 10

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Manager
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GMAT math test - number properties 3 qn 10 [#permalink] New post 26 Oct 2009, 21:07
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
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Re: GMAT math test - number properties 3 qn 10 [#permalink] New post 27 Oct 2009, 03:07
Please note that 44's largest divisor is 44, not 22 as you stated. So, 44 can't be used as a proof for S1 insufficiency.
ISBtarget wrote:
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

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Manager
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Joined: 24 Aug 2009
Posts: 156
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Kudos [?]: 21 [0], given: 46

Re: GMAT math test - number properties 3 qn 10 [#permalink] New post 27 Oct 2009, 06:38
dzyubam wrote:
Please note that 44's largest divisor is 44, not 22 as you stated. So, 44 can't be used as a proof for S1 insufficiency.
ISBtarget wrote:
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

silly me.....it can only be 22 then.....
Re: GMAT math test - number properties 3 qn 10   [#permalink] 27 Oct 2009, 06:38
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