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If b is the product of three consecutive positive integers
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03 Aug 2009, 00:04
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If b is the product of three consecutive positive integers c, c + 1, and c + 2, is b a multiple of 24 ? (1) b is a multiple of 3, (2) c is odd. == Message from GMAT Club Team == This is not a quality discussion. It has been retired. If you would like to discuss this question please repost it in the respective forum. Thank you! To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative  Verbal Please note  we may remove posts that do not follow our posting guidelines. Thank you.



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Re: Not in agreement with OA
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03 Aug 2009, 01:16
I agree, OA is incorrect. First statement is "empty", because b is always divisible by 3.
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Re: Not in agreement with OA
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03 Aug 2009, 09:15
Quote: I agree, OA is incorrect. First statement is "empty", because b is always divisible by 3.
Hey I agree that A is a empty statemetn, as we know that product of n consequtive numbers is always divisible by n, but how does it answer the question is the product multiple of 24 ? IMO it can or cannot right ? Should the answer be 'E' ?



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Re: Not in agreement with OA
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03 Aug 2009, 10:22
skpMatcha wrote: Quote: I agree, OA is incorrect. First statement is "empty", because b is always divisible by 3.
Hey I agree that A is a empty statemetn, as we know that product of n consequtive numbers is always divisible by n, but how does it answer the question is the product multiple of 24 ? IMO it can or cannot right ? Should the answer be 'E' ? Yes, the answer should be E.



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Re: Not in agreement with OA
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03 Aug 2009, 10:57
Yep, answer should be E



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Re: Not in agreement with OA
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03 Aug 2009, 11:35
Quote: If b is the product of three consecutive positive integers c, c + 1, and c + 2, is b a multiple of 24 ?
(1) b is a multiple of 3, (2) c is odd.
IMO OA is B b is the product of three consecutive positive integers c, c + 1, and c + 2 b can be a multiple of 24 only when c is even. let say c is 2 2 x 2+1 x 2+2 =2x3x4 let say c is 3 3 x 3+1 x 3+2 =3x4x5 let say c is 4 4 x 4+1 x 4+2 =4x5x6
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Re: Not in agreement with OA
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03 Aug 2009, 11:46
vannu wrote: Quote: If b is the product of three consecutive positive integers c, c + 1, and c + 2, is b a multiple of 24 ?
(1) b is a multiple of 3, (2) c is odd.
IMO OA is B b is the product of three consecutive positive integers c, c + 1, and c + 2 b can be a multiple of 24 only when c is even. let say c is 2 2 x 2+1 x 2+2 =2x3x4 let say c is 3 3 x 3+1 x 3+2 =3x4x5 let say c is 4 4 x 4+1 x 4+2 =4x5x6 What if C= 1 then the product becomes 6 !. Hence Insuff !



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Re: Not in agreement with OA
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03 Aug 2009, 11:52
vannu wrote: Quote: If b is the product of three consecutive positive integers c, c + 1, and c + 2, is b a multiple of 24 ?
(1) b is a multiple of 3, (2) c is odd.
IMO OA is B b is the product of three consecutive positive integers c, c + 1, and c + 2 b can be a multiple of 24 only when c is even. let say c is 2 2 x 2+1 x 2+2 =2x3x4 let say c is 3 3 x 3+1 x 3+2 =3x4x5 let say c is 4 4 x 4+1 x 4+2 =4x5x6 if c = 1 then b = 1 X 1+1 X 1+2 = 6 which is a multiple of 24 so C can be odd so B cannot be the answer



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Re: Not in agreement with OA
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03 Aug 2009, 11:59
is 6 a multiple or factor of 24?
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Re: Not in agreement with OA
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03 Aug 2009, 12:06
Both are same
Like The prime factors of 24 are 2^3 and 3



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Re: Not in agreement with OA
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03 Aug 2009, 12:11
a multiple is when you multiply numbers by a number example: multiples of 5 are 5, 10, 15, 20 etc (5*1=5, 5*2=10, 5*3=15, 5*4=20) a factor is the numbers that divide evenly into another number example: factors of 6 are 1, 2, 3 (6 divided by 1=6, 6 divided by 2= 3, 6 divided by 3=2)  if b has to be a multiple, it should be 48,72,96 etc; 6 is one of the factor of 24..
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Re: Not in agreement with OA
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03 Aug 2009, 13:03
vannu wrote: a multiple is when you multiply numbers by a number example: multiples of 5 are 5, 10, 15, 20 etc
(5*1=5, 5*2=10, 5*3=15, 5*4=20)
a factor is the numbers that divide evenly into another number example: factors of 6 are 1, 2, 3
(6 divided by 1=6, 6 divided by 2= 3, 6 divided by 3=2)
 if b has to be a multiple, it should be 48,72,96 etc;
6 is one of the factor of 24.. Yep you are right ... my bad



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Re: Not in agreement with OA
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03 Aug 2009, 13:08
vannu wrote: Quote: If b is the product of three consecutive positive integers c, c + 1, and c + 2, is b a multiple of 24 ?
(1) b is a multiple of 3, (2) c is odd.
IMO OA is B b is the product of three consecutive positive integers c, c + 1, and c + 2 b can be a multiple of 24 only when c is even. let say c is 2 2 x 2+1 x 2+2 =2x3x4 let say c is 3 3 x 3+1 x 3+2 =3x4x5 let say c is 4 4 x 4+1 x 4+2 =4x5x6 what about when c = 7 ? 7*8*9 = 504 it is a multiple of 24



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Re: Not in agreement with OA
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03 Aug 2009, 13:14
I think answrer should be E.
Take c=1, then b = 1*2*3 = 3 3 is a multiple of 3 but not a multiple of 24.
Take c=7, then b= 7*8*9 = 504 504 is a multiple of 3 as well as a multiple of 24.
Hence E



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Re: Not in agreement with OA
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03 Aug 2009, 13:50
I agree. Need to be cautious while picking numbers!
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Re: Not in agreement with OA
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03 Aug 2009, 16:30
agree, OA is wrong here..should be E



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Re: Not in agreement with OA
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06 Aug 2009, 03:48
i accept ans should be E == Message from GMAT Club Team == This is not a quality discussion. It has been retired. If you would like to discuss this question please repost it in the respective forum. Thank you! To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative  Verbal Please note  we may remove posts that do not follow our posting guidelines. Thank you.
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Re: Not in agreement with OA &nbs
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