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 Post subject: Is the three-digit number
 Post Posted: Tue Jun 24, 2008 11:46 pm 
Is the three-digit number less than 550?

(1) The product of the digits in n is 30
(2) The sum of the digits in n is 10

I think the answer should be A, but GMATprep says that the answer should be C. Why?

My reasoning:
(1) 2x5x3=30
532<550 so yes we can answer the three digit number is less than 550.

(2) not sufficient because 2+4+4=10 and 442<550 but 7+2+1=10 and 721>550

I don't understand why it is C.


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 Post subject:
 Post Posted: Wed Jun 25, 2008 7:37 am 
You are forgetting 1,6,5 combination...even i forgot it and then someone explained it to me. :) With 1,6,5 and 2,3,5 we can't answer with A and hence would need both as second one eliminates1,6,5 combination


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 Post subject:
 Post Posted: Thu Jun 26, 2008 4:12 am 
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ManhattanGMAT Staff


Posts: 6765
guest wrote:
You are forgetting 1,6,5 combination...even i forgot it and then someone explained it to me. :) With 1,6,5 and 2,3,5 we can't answer with A and hence would need both as second one eliminates1,6,5 combination

you got it.

don't forget 1 as a possible component of a product! if you're thinking solely in terms of primes, then it's easy to forget about 1 (because 1 isn't prime).

if you ever get a problem like this again, though, you'll be sure not to forget 1, though, because you'll be reminded of this problem. that's the power of making mistakes - you'll learn the relevant lessons much better than you would if you hadn't made the mistakes.


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