OG # 12 Q-129

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screwdriver: Junior | Next Rank: 30 Posts; Posts: 15; Joined: Sat Mar 05, 2011 3:35 pm

OG # 12 Q-129

by screwdriver » Tue Jul 19, 2011 8:34 pm

Hi,

Can you please explain how we will solve below question?

129. What is the median number of employees assigned
per project for the projects at Company Z ?
(1) 25 percent of the projects at Company Z have 4
or more employees assigned to each project.
(2) 35 percent of the projects at Company Z have 2
or fewer employees assigned to each project.

Thanks

Quote

Source: Beat The GMAT — Data Sufficiency | Tue Jul 19, 2011 8:34 pm

GMAT/MBA Expert

Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pm; Location: Milpitas, CA; Thanked: 1854 times; Followed by:523 members; GMAT Score:770

by Anurag@Gurome » Tue Jul 19, 2011 8:46 pm

screwdriver wrote:Hi,

Can you please explain how we will solve below question?

129. What is the median number of employees assigned
per project for the projects at Company Z ?
(1) 25 percent of the projects at Company Z have 4
or more employees assigned to each project.
(2) 35 percent of the projects at Company Z have 2
or fewer employees assigned to each project.

Thanks

(1) Median is the value that separates the upper and lower half of the sample. (1) gives that 25% of projects have 4 or more employees to each project . But the % of projects that have less than 4 employees is not given. So, (1) is NOT SUFFICIENT.

(2) From this statement, the % of projects that have more than 2 employees is not given. As above, (2) is also NOT SUFFICIENT.

Combining (1) and (2), 35% projects have 2 or fewer employees, 25% of the projects have 4 or more employees, so the remaining % of projects = 100 - (35 + 25) = 40% projects should have exactly 3 employees (between 2 and 4).
Therefore, median number of employees assigned per project = 3

The correct answer is [spoiler](C)[/spoiler].

Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

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