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I need explanation please!

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by babachal » Sat Jun 14, 2008 8:44 pm
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.
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Source: — Data Sufficiency |
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Re: I need explanation please!

by altin » Sat Jun 14, 2008 8:52 pm
let say c=1 than 1,2,3 or c=7 than 7,8,9
(1) either case b is multiple of 3 but c=1 is not multiple of 24 c=7 multiple of 24 NS
(2) C is odd in eiher case we did NS
Answer is E

babachal wrote: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.
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by babachal » Sat Jun 14, 2008 9:16 pm
hi Altin (it means gold in my language), i picked the same answer as you did, but the real answer is A, only I is sfficient!
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by altin » Sat Jun 14, 2008 9:19 pm
babachal wrote:hi Altin (it means gold in my language), i picked the same answer as you did, but the real answer is A, only I is sfficient!
Soruda bir yanlisklik olabilir o zaman :-)
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by babachal » Sat Jun 14, 2008 10:06 pm
u speaking turkish, chok guzel, eldeettigim 1000 series sorular ichinda ara sira bu gibi yaramazlariyle karshilashiyorum, chok sagol!
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by netigen » Sat Jun 14, 2008 11:30 pm
A can not be the answer as it's redundant info. We already know that b will be multiple of 3 from the question itself.
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by Ian Stewart » Sun Jun 15, 2008 4:22 am
Yes, A is not useful as written. The product of n consecutive integers is always divisible by n!. So before even reading the statements, we know b is divisible by 3! = 6.

If instead Statement A said 'b is divisible by 8', then it would be sufficient; since b is also divisible by 3, it would then be divisible by 24.
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