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# Is the three-digit number n less than 550?

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Manager
Joined: 16 Feb 2012
Posts: 237
Concentration: Finance, Economics
Followers: 6

Kudos [?]: 178 [1] , given: 121

Is the three-digit number n less than 550? [#permalink]  15 Jun 2012, 05:34
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Difficulty:

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Question Stats:

52% (01:57) correct 48% (01:03) wrong based on 154 sessions
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.
[Reveal] Spoiler: OA

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Math Expert
Joined: 02 Sep 2009
Posts: 31228
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Kudos [?]: 62071 [2] , given: 9427

Re: Is the three-digit number n less than 550? [#permalink]  15 Jun 2012, 05:39
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Is the three-digit number n less than 550?

(1) The product of the digits in n is 30 --> $$30=1*2*3*5$$ --> n can be any combination of digits from the following two sets: {1, 6(=2*3), 5} or {2, 3, 5}. n can be lees than 550 (eg. 165, 156, ...) OR more than 550 (eg 615, 651). Not sufficient.

(2) The sum of the digits in n is 10 --> Clearly not sufficient. Many combinations are possible 109, 901, ....

(1)+(2) We have the set {2, 3, 5} (as only in this set the sum of the digits is 10). From this set we can not form three digit number more than 550 (max=532). Sufficient.

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Senior Manager
Joined: 03 Dec 2012
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Kudos [?]: 78 [0], given: 291

Re: Is the three-digit number n less than 550? [#permalink]  30 Nov 2013, 00:10
Its C and not E. A lil tricky if u don't pay careful attention
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Re: Is the three-digit number n less than 550? [#permalink]  10 Dec 2014, 00:24
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Re: Is the three-digit number n less than 550?   [#permalink] 10 Dec 2014, 00:24
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