|
Author |
Message |
|
TAGS:
|
|
|
Director
Joined: 03 Sep 2006
Posts: 909
Followers: 5
Kudos [?]:
35
[0], given: 33
|
Is the three-digit number n less than 550 ? [#permalink]
 06 May 2010, 12:31
Question Stats:
42% (02:02) correct
57% (00:59) wrong based on 70 sessions
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.
|
|
|
|
|
|
|
GMAT Club team member
Joined: 02 Sep 2009
Posts: 12115
Followers: 1879
Kudos [?]:
10120
[3] , given: 962
|
Re: GMAT PREP (DS) [#permalink]
06 May 2010, 14:19
3
This post received
KUDOS
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. Answer: C.
_________________
PLEASE READ AND FOLLOW: 11 Rules for Posting!!!
RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders
COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!! ,11 Mixed Questions NEW!!!, 12 Fresh Meat NEW!!!
DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!, 11 New DS set. NEW!!!
What are GMAT Club Tests?
25 extra-hard Quant Tests
Find out what's new at GMAT Club - latest features and updates
|
|
|
|
|
|
Director
Joined: 03 Sep 2006
Posts: 909
Followers: 5
Kudos [?]:
35
[0], given: 33
|
Re: GMAT PREP (DS) [#permalink]
06 May 2010, 23:07
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.
Answer: C. 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.
|
|
|
|
|
|
Manager
Joined: 23 Nov 2009
Posts: 88
Schools: Wharton..:)
Followers: 2
Kudos [?]:
30
[0], given: 13
|
Re: GMAT PREP (DS) [#permalink]
07 May 2010, 04:49
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
|
|
|
|
|
|
Manager
Joined: 16 Sep 2010
Posts: 230
Location: United States
Concentration: Finance, Real Estate
GMAT 1: 740 Q48 V42
Followers: 6
Kudos [?]:
42
[0], given: 2
|
Re: Gmat Prep problem [#permalink]
17 Sep 2010, 12:06
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, 12:17, edited 1 time in total.
|
|
|
|
|
|
Intern
Joined: 04 Aug 2010
Posts: 4
Followers: 0
Kudos [?]:
0
[0], given: 22
|
Re: Gmat Prep problem [#permalink]
17 Sep 2010, 12:14
rgtiwari wrote: Please explain the answer.. 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
|
|
|
|
|
|
Senior Manager
Joined: 20 Jul 2010
Posts: 276
Followers: 2
Kudos [?]:
26
[0], given: 9
|
Re: GMAT PREP (DS) [#permalink]
18 Sep 2010, 18:06
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
|
|
|
|
|
|
Manager
Joined: 23 Sep 2009
Posts: 158
Followers: 1
Kudos [?]:
9
[0], given: 37
|
Re: GMAT PREP (DS) [#permalink]
19 Sep 2010, 18:24
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
|
|
|
|
|
|
Senior Manager
Joined: 13 Aug 2012
Posts: 468
Followers: 13
Kudos [?]:
88
[0], given: 11
|
Re: GMAT PREP (DS) [#permalink]
22 Jan 2013, 00:54
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
Answer: C
|
|
|
|
|
|
|
Re: GMAT PREP (DS)
[#permalink]
22 Jan 2013, 00:54
|
|
|
|
|
|
|
|
|
|
|
close
