It is currently 16 Dec 2017, 08:43

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Director
Joined: 03 Sep 2006
Posts: 862

Kudos [?]: 1128 [1], given: 33

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

### Show Tags

06 May 2010, 11:31
1
KUDOS
1
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

61% (00:57) correct 39% (01:01) wrong based on 165 sessions

### HideShow timer Statistics

Is the three-digit number n less than 550 ?

(1) The product of the digits in n is 30.
(2) The sum of digits in n is 10.
[Reveal] Spoiler: OA

Kudos [?]: 1128 [1], given: 33

Math Expert
Joined: 02 Sep 2009
Posts: 42629

Kudos [?]: 135833 [3], given: 12715

### Show Tags

06 May 2010, 13:19
3
KUDOS
Expert's post
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 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.

_________________

Kudos [?]: 135833 [3], given: 12715

Manager
Joined: 23 Sep 2009
Posts: 146

Kudos [?]: 125 [1], given: 37

### Show Tags

19 Sep 2010, 17:24
1
KUDOS
GGRRRRRRR.....Made the same mistake...Forgot to include 1 and chose the answer as A.
I should not make similar mistakes in the real exam.
Thanks BUnnel.
_________________

Thanks,
VP

Kudos [?]: 125 [1], given: 37

Director
Joined: 03 Sep 2006
Posts: 862

Kudos [?]: 1128 [0], given: 33

### Show Tags

06 May 2010, 22:07
Bunuel wrote:
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 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.

Excellent Bunuel. I missed the factor "1" when checking the factors of "30". And if you miss this "1" as the factor the answer you end up with is "A", which indeed is wrong.

Kudos [?]: 1128 [0], given: 33

Manager
Joined: 23 Nov 2009
Posts: 89

Kudos [?]: 43 [0], given: 14

Schools: Wharton..:)

### Show Tags

07 May 2010, 03:49
sm ppl missed "1" as one of the factors , don't think of factorising the thing , think how many ways u can get to 30 using three numbers., u won;t miss 1 thn ..
_________________

" What [i] do is not beyond anybody else's competence"- warren buffett
My Gmat experience -http://gmatclub.com/forum/gmat-710-q-47-v-41-tips-for-non-natives-107086.html

Kudos [?]: 43 [0], given: 14

Manager
Joined: 16 Sep 2010
Posts: 219

Kudos [?]: 136 [0], given: 2

Location: United States
Concentration: Finance, Real Estate
GMAT 1: 740 Q48 V42

### Show Tags

17 Sep 2010, 11:06
Should be C.

Here is how I got there:

We know n <550
(1) Product of the digits = 30
(2) Sum of the digits = 10

(1) alone is insufficient as there are numerous iterations of this that would work: 352, 532, 253, 235, 156, 516, etc.
(2) alone is insufficient as there are numerous iterations that would work as well: 352, 235, 235, 163, 127, etc.

Together we can eliminate it down but are still left with a number of solutions: 352, 325, 235, 253, 532, and 523. These all meet both one and two therefore it is C.

Last edited by u0422811 on 17 Sep 2010, 11:17, edited 1 time in total.

Kudos [?]: 136 [0], given: 2

Intern
Joined: 04 Aug 2010
Posts: 4

Kudos [?]: [0], given: 22

### Show Tags

17 Sep 2010, 11:14
rgtiwari wrote:

Statement 1 alone
Case 1: 651 -> 6*5*1 = 30 => 651 < 550 - false
Case 2: 235 -> 2*3*5 = 30 => 235< 550 - true

Not Sufficient.

Statement 2 alone
Case 1: 235 -> 2+3+5 = 10 => 235 < 550 - true
Case 2: 550 -> 5+5+0 = 10 => 550 < 550 - false

Not Sufficient

Statement 1 and 2 together
Case 1: 235 -> 2*3*5 = 30 and 2+3+5 = 10 and also give only one answer 235 < 550.
Case 2: 253 -> 2*3*5 = 30 and 2+3+5 = 10 and also give only one answer 253 < 550.
Case 3: 325 -> 2*3*5 = 30 and 2+3+5 = 10 and also give only one answer 325 < 550.
Case 4: 352 -> 2*3*5 = 30 and 2+3+5 = 10 and also give only one answer 352 < 550.
Case 5: 523 -> 2*3*5 = 30 and 2+3+5 = 10 and also give only one answer 523 < 550.
Case 6: 532 -> 2*3*5 = 30 and 2+3+5 = 10 and also give only one answer 532 < 550.

Hence C

Kudos [?]: [0], given: 22

Senior Manager
Joined: 20 Jul 2010
Posts: 253

Kudos [?]: 103 [0], given: 9

### Show Tags

18 Sep 2010, 17:06
ha....I also forgot "1" as a factor....thanks for reminding.....
_________________

If you like my post, consider giving me some KUDOS !!!!! Like you I need them

Kudos [?]: 103 [0], given: 9

Senior Manager
Joined: 13 Aug 2012
Posts: 457

Kudos [?]: 571 [0], given: 11

Concentration: Marketing, Finance
GPA: 3.23

### Show Tags

21 Jan 2013, 23:54
n = xyz, is xyz < 550?

1. digits product is 30
Let n = 651, NO!
Let n = 516, YES!
INSUFFICIENT.

2. digits sum is 10
Let n = 550, NO!
Let n = 505, YES!
INSUFFICIENT

Digits that produce a product of 30:
{6,5,1}
{2,3,5}

But, the sum must be 10 and only {2,3,5} produce a sum of 10.
And the largest number is 532 which is less than 550

_________________

Impossible is nothing to God.

Kudos [?]: 571 [0], given: 11

Non-Human User
Joined: 09 Sep 2013
Posts: 14813

Kudos [?]: 288 [0], given: 0

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

### Show Tags

31 Oct 2014, 19:06
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 288 [0], given: 0

Re: Is the three-digit number n less than 550 ?   [#permalink] 31 Oct 2014, 19:06
Display posts from previous: Sort by