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TuanNguyen87: Junior | Next Rank: 30 Posts; Posts: 13; Joined: Wed May 25, 2011 9:40 am

by TuanNguyen87 » Mon Jun 06, 2011 4:51 pm

Of 30 applicants for a job, 14 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree. How many of the applicants had at least 4 years experience and a degree?

A. 14
B. 13
C. 9
D. 7
E. 5

Thanks very much guys!

Answer: E

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Source: Beat The GMAT — Problem Solving | Mon Jun 06, 2011 4:51 pm

cans: Legendary Member; Posts: 1309; Joined: Mon Apr 04, 2011 5:34 amFollowed by: 123 members; Location: India; Thanked: 310 times; GMAT Score:750

by cans » Mon Jun 06, 2011 5:02 pm

total 30
at least 4 years work ex ->W
degrees -> D
D=18
3-neither D nor W
W=14
to find, n - both W and D
30 = 14+18-n+3 ->n=5
IMO E

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Cans!!

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GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Mon Jun 06, 2011 5:14 pm

TuanNguyen87 wrote:Of 30 applicants for a job, 14 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree. How many of the applicants had at least 4 years experience and a degree?

A. 14
B. 13
C. 9
D. 7
E. 5

Thanks very much guys!

Answer: E

Use a group grid (what some call a matrix) to organize the information. Here's the grid with all of the known information entered:

All of the numbers in the grid have to add up horizontally and vertically. Here's the complete grid:

Number of applicants with a degree and at least 4 years experience = 5.

The correct answer is E.

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jonbrazil: Newbie | Next Rank: 10 Posts; Posts: 3; Joined: Wed Jun 01, 2011 11:37 am; Location: Brazil

by jonbrazil » Mon Jun 06, 2011 6:19 pm

Totally agree with Guru! Strategy for sets with 2 variables use group grid and fill in the blanks, it works really well for these problem types.

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