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

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Manager
Joined: 16 Feb 2012
Posts: 200
Concentration: Finance, Economics
Is the three-digit number n less than 550? [#permalink]

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15 Jun 2012, 06:34
3
4
00:00

Difficulty:

75% (hard)

Question Stats:

56% (00:57) correct 44% (00:57) wrong based on 296 sessions

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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.

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Math Expert
Joined: 02 Sep 2009
Posts: 46191
Re: Is the three-digit number n less than 550? [#permalink]

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15 Jun 2012, 06:39
5
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
Posts: 294
Re: Is the three-digit number n less than 550? [#permalink]

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30 Nov 2013, 01:10
Its C and not E. A lil tricky if u don't pay careful attention
Intern
Joined: 18 Dec 2016
Posts: 19
Location: United Kingdom
GMAT 1: 690 Q47 V38
GPA: 4
WE: Investment Banking (Investment Banking)
Re: Is the three-digit number n less than 550? [#permalink]

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18 Dec 2016, 13:53
Thanks alot, the explanation was very helpful. I always struggle with that kind of questions, do you have any recommendations?
Director
Joined: 26 Oct 2016
Posts: 666
Location: United States
Schools: HBS '19
GMAT 1: 770 Q51 V44
GPA: 4
WE: Education (Education)
Re: Is the three-digit number n less than 550? [#permalink]

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18 Feb 2017, 04:00
Is the three-digit number n less than 550?

Statement 1 is not sufficient because N can be:

561 obviously greater than 550
or
235 obviously less than 550

Statement 2 is not sufficient because it can be

109 obviously less than 550
or
901 obviously greater than 550

Together
N can be 235 or 532 both of which is less than 550.

Hence C.
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Anaira Mitch

Re: Is the three-digit number n less than 550?   [#permalink] 18 Feb 2017, 04:00
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