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

 It is currently 27 Apr 2015, 16:55

### 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

# Four staff members at a certain company worked on a project.

Author Message
TAGS:
Senior Manager
Joined: 14 Jul 2006
Posts: 281
Followers: 1

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

Four staff members at a certain company worked on a project. [#permalink]  09 Aug 2006, 08:51
Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 30 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?

A. 80
B. 96
C. 160
D. 192
E. 240

Guys, is there an easier way of solving this problem aside from plugging in? I recall solving a similar problem wherein you just add all of the ratios and see if the answer choices are divisible by the sum. In the case all are divisible. Is that the correct way of going about it?
Manager
Joined: 31 Jul 2006
Posts: 229
Followers: 1

Kudos [?]: 17 [0], given: 0

one of the members works for 30 hours.
total number of hours can be found as

2x+3x+5x+6x=T

if one person works for 30 hours then x can be either 15, 10, 6 or 5.

take 15 , 10 or 5 so the sum of all will either have 5 or 0 in the units place.

Now take 6. the Total will be 12+18+30+36 = 96

VP
Joined: 02 Jun 2006
Posts: 1267
Followers: 2

Kudos [?]: 42 [0], given: 0

If one of the workers worked for 30 hrs, multiples of the ratios are 15, 10, 6, 5

A. 80/16 = 5
B. 96/16 = 6
C. 160/16 = 10
D. 192/16 = 12
E. 240/16 =15

Of these only D is not a multiple.
CEO
Joined: 20 Nov 2005
Posts: 2913
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 18

Kudos [?]: 119 [0], given: 0

We only need the ratio.

Ratio = 2:3:5:6
For any member the number of hours worked will be = Ratio * Total hours/(2+3+5+6 = 16)
One of the person worked for 30 hours.

So 1/16 for all choices is
A- 5 - Possible for 6*5
B - 6 - Possible for 5*6
C - 10 - Possible for 3
D - 12 - Not possible for anybody: ANSWER
E - 15 - Possible for 15*2
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Senior Manager
Joined: 14 Jul 2006
Posts: 281
Followers: 1

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

Thanks guys,

Learned something new again
SVP
Joined: 30 Mar 2006
Posts: 1739
Followers: 1

Kudos [?]: 46 [0], given: 0

D

Let 30 hrs is spent by the first worker
Hence total number of hrs = 30*16/2 = 240

Similarily
when second worker spends 30hr
Total number =30*16/3 = 160

When 3rd person spends 30 hrs
total = 30*16/5 = 96

When 4th person spends 30 hrs
total = 30*16/6 = 80

hence 192 is the only number of hrs that cannot be spent by all the workers.
Similar topics Replies Last post
Similar
Topics:
24 Four staff members at a certain company worked on a project. 11 08 Oct 2012, 00:47
1 Four staff members at a certain company worked on a project. 1 12 Aug 2011, 12:15
Four staff members at a certain company worked on a project. 2 17 Nov 2007, 05:42
1 Four staff members at a certain company worked on a project. 4 16 Oct 2007, 09:17
Display posts from previous: Sort by