Overlapping Sets, Word Problems

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Overlapping Sets, Word Problems

by swerve » Wed May 27, 2020 12:57 pm

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Among 50 applicants for an MBA program, 28 have at least 2 degrees, 20 have work experience and 12 have less than 2 degrees and no work experience. How many applicants have more than one degree and work experience?

A. 2
B. 10
C. 14
D. 20
E. 30

The OA is B

Source: e-GMAT
Source: — Problem Solving |

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swerve wrote:
Wed May 27, 2020 12:57 pm
Among 50 applicants for an MBA program, 28 have at least 2 degrees, 20 have work experience and 12 have less than 2 degrees and no work experience. How many applicants have more than one degree and work experience?

A. 2
B. 10
C. 14
D. 20
E. 30

The OA is B

Source: e-GMAT
Solution:

We can use the formula:

Total = Group A + Group B - Both + Neither

50 = 28 + 20 - B + 12

50 = 60 - B

B = 10

Answer: B

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