Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 23 Nov 2014, 23:03

### 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

# A certain organization presents reward to some people...

Author Message
TAGS:
Intern
Joined: 04 Sep 2009
Posts: 43
Followers: 1

Kudos [?]: 16 [1] , given: 9

A certain organization presents reward to some people... [#permalink]  15 Oct 2012, 18:37
1
KUDOS
00:00

Difficulty:

35% (medium)

Question Stats:

80% (02:38) correct 20% (03:56) wrong based on 68 sessions
A certain organization presents reward to some people. There are 3 kinds of reward that respectively are $125,$40, $15. If the total reward is$1,735, what is the least possible value of the number of the people who received reward?

a. 17
b. 22
c. 32
d. 47
e. 90

[Reveal] Spoiler:
A
[Reveal] Spoiler: OA

_________________

Aeros
"Why are you trying so hard to fit in when you were born to stand out?"
"Do or do not. There is no 'try'..."

Current Student
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 648
Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Followers: 36

Kudos [?]: 379 [3] , given: 23

Re: A certain organization presents reward to some people... [#permalink]  15 Oct 2012, 19:55
3
KUDOS
aeros232 wrote:
A certain organization presents reward to some people. There are 3 kinds of reward that respectively are $125,$40, $15. If the total reward is$1,735, what is the least possible value of the number of the people who received reward?

a. 17
b. 22
c. 32
d. 47
e. 90

[Reveal] Spoiler:
A

from question :
1735= 125A + 40B +15C
Since we have 3 variables and only other information we can infer is that each of A, B and C should be non negative integer (>=0). Hence, we need to plug in numbers to find out.
Now since the question is asking for 'least' number of rewards, best approach to start with is -finding least 'possible' number of rewards - it can happen when every award is 125. So number of reward in this case 1735/125 = 13 + some remainder. hence ans must be greater than 14.

This gives us
1735 = 13*125 + 40B +15C
or 40B + 15C =110
or 8B + 3C =22
Do we have any combination for B and C that works for this? yes.. if B=C=2.
Hence total number of rewards = A+B+C=13+2+2 = 17

same is given in A.

At this point, some observations could also be made. There could be a doubt in mind, what if A=12 and B+C <5? but note, it is not possible because for every A reduced, difference (125) is to be filled by at least 4 of Bs and Cs (40 and 15 respectively). Second, none of the answer choices is below 17.

Hence Ans A it is.
_________________

Lets Kudos!!!
Black Friday Debrief

Senior Manager
Joined: 13 Aug 2012
Posts: 464
Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
Followers: 16

Kudos [?]: 216 [1] , given: 11

Re: A certain organization presents reward to some people... [#permalink]  10 Dec 2012, 23:11
1
KUDOS
1
This post was
BOOKMARKED
To get the minimum value, one must maximize the largest price: $125 \frac{1735}{125}=\frac{347}{25}=13rem.110 Note that 13*125=1625 so we calculate the remaining reward 40A + 15B = 110 Again to get minimum value, maximize the largest remaining reward:$40

\frac{110}{40}=2rem.30
Note that 40*2=80 so we calculate the remaining reward 15B = 110 - 80 =30

\frac{30}{15}=2

Thus, 13 + 2 + 2 = 17

_________________

Impossible is nothing to God.

Re: A certain organization presents reward to some people...   [#permalink] 10 Dec 2012, 23:11
Similar topics Replies Last post
Similar
Topics:
4 Many people feel that hard work deserves a reward. However, 7 06 Oct 2013, 06:54
3 Read my essay? PLS maybe some tips? Kudo for reward 8 22 Jul 2013, 08:51
It is often said that people should be rewarded for doing a 7 12 Aug 2006, 16:29
It is often said that people should be rewarded for doing a 5 11 May 2005, 15:06
Music critic: Some people argue that, unlike certain works 6 29 Apr 2005, 05:55
Display posts from previous: Sort by