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# Is the three-digit number n less than 550? 1) The product of

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Director
Joined: 17 Oct 2005
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Is the three-digit number n less than 550? 1) The product of [#permalink]  18 Dec 2005, 17:02
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Is the three-digit number n less than 550?

1) The product of the digits in n is 30

2) The sum of the digits in n is 10
VP
Joined: 06 Jun 2004
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Location: CA
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Re: DS number properties [#permalink]  18 Dec 2005, 19:44
joemama142000 wrote:
Is the three-digit number n less than 550?

1) The product of the digits in n is 30

2) The sum of the digits in n is 10

(1) Could be 615 or 516, etc. Insufficient
(2) Could be 640 or 460, etc. Insufficient

(1) + (2) only possibilities are numbers that contain 5, 3, 2. 532, 235...etc.. All less than 550.
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Don't be afraid to take a flying leap of faith.. If you risk nothing, than you gain nothing...

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Joined: 24 Sep 2005
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Re: DS number properties [#permalink]  18 Dec 2005, 20:06
TeHCM wrote:
joemama142000 wrote:
Is the three-digit number n less than 550?

1) The product of the digits in n is 30

2) The sum of the digits in n is 10

(1) Could be 615 or 516, etc. Insufficient
(2) Could be 640 or 460, etc. Insufficient

(1) + (2) only possibilities are numbers that contain 5, 3, 2. 532, 235...etc.. All less than 550.

Yes. C it is
from 1: the factors of 30 is 1,2,3,5,6,10,15,30 ..since the number must be digits ---> 10,15 and 50 don't need to be considered
+In case the hundreds digit of the 3-digit number is 1,2,3 ---> answer to the question is clearly YES.
+In case hundreds digit= 5 , the second digit can only be 1,2,3 coz if it's 6 ---> violate 2 ---> answer to the question is YES.
+In case hundreds digit= 6 --> the number must contain 5 to satisfy first statement ---> but then it violates statement 2 ----> there's no 3-digit number with the hundreds digit = 6 satisfying the 2 statements together

=> The number is always less than 550
---->suff

C it is.
Re: DS number properties   [#permalink] 18 Dec 2005, 20:06
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