swerve wrote:At a certain company, some of the employees have advanced degrees, some have one year or more of work experience, and some have both. If 20 percent of all employees have one year or more of experience and no advanced degree, what percentage of employees have advanced degrees and less than one year of experience?

1. 35 percent of the employees do not have advanced degrees and 55 percent have less than one year of work experience.
2. 15 percent of the employees lack an advanced degree and have less than one year of work experience; 45 percent have one year or more of experience.

The OA is D

Source: Manhattan Prep

Let's assume the following.

D = Percentage of people with advanced degrees and less than one year of experience.
E = Percentage of people with no advanced degrees and with one year or more of work experience = 20%.
B = Percentage of people with advanced degrees and with one year or more of work experience
N = Percentage of people with no advanced degree and less than one year of experience

Question: What's the value of D?

We know that 100 = D + E + B + N; given that E = 20

=> D = 80 - B - N

1. 35 percent of the employees do not have advanced degrees and 55 percent have less than one year of work experience.

=> E + N = 35 => 20 + N = 35 => N = 15
=> D + N = 55 => D + 15 = 55 => D = 40

Sufficient

2. 15 percent of the employees lack an advanced degree and have less than one year of work experience; 45 percent have one year or more of experience.

=> N = 15
=> E + B = 45 => 20 + B = 45 => B = 25
Pluggin-in the value of N and B in D = 80 - B - N, we get D = 80 - 25 - 15 = 40.

Sufficient

The correct answer: D

Hope this helps!

-Jay
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