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Is the three-digit number n less than 550?

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

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New post 15 Jun 2012, 06:34
3
4
00:00
A
B
C
D
E

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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Re: Is the three-digit number n less than 550? [#permalink]

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New post 15 Jun 2012, 06:39
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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.

Answer: C.
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Re: Is the three-digit number n less than 550? [#permalink]

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New post 30 Nov 2013, 01:10
Its C and not E. A lil tricky if u don't pay careful attention :wall
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Re: Is the three-digit number n less than 550? [#permalink]

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New post 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?
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Re: Is the three-digit number n less than 550? [#permalink]

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