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Re: In 1997, N people graduated from college. If 1/3 of them rec [#permalink]
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QuantumWonder wrote:
GreenlightTestPrep wrote:
GreenlightTestPrep wrote:


How did you simply add all three boxes when they only asked for the number of people who did not graduate with an applied science degree and did not graduate from one of the six northeastern states?


Be careful, the question asks "which of the following expressions represents the number of people who graduated from college in 1997 who did not BOTH receive a degree in the applied sciences and graduate from a school in one of six northeastern states?"

The top-left box represents the people who BOTH received a degree in the applied sciences AND graduated from a school in one of six northeastern states"

So, the other 3 boxes must represent the people who did not BOTH receive a degree in the applied sciences and graduate from a school in one of six northeastern states.

Does that help?

Cheers,
Brent
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Re: In 1997, N people graduated from college. If 1/3 of them rec [#permalink]
GreenlightTestPrep wrote:

Be careful, the question asks "which of the following expressions represents the number of people who graduated from college in 1997 who did not BOTH receive a degree in the applied sciences and graduate from a school in one of six northeastern states?"

The top-left box represents the people who BOTH received a degree in the applied sciences AND graduated from a school in one of six northeastern states"

So, the other 3 boxes must represent the people who did not BOTH receive a degree in the applied sciences and graduate from a school in one of six northeastern states.

Does that help?

Cheers,
Brent


Yes, thank you kind sir!

Now, if it said either instead of both, would that mean we only add the two corresponding boxes?
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Re: In 1997, N people graduated from college. If 1/3 of them rec [#permalink]
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GreenlightTestPrep wrote:
In 1997, N people graduated from college. If 1/3 of them received a degree in the applied sciences, and, of those, 1/4 graduated from a school in one of six northeastern states, which of the following expressions represents the number of people who graduated from college in 1997 who did not both receive a degree in the applied sciences and graduate from a school in one of six northeastern states?

(A) 11N/12
(B) 7N/12
(C) 5N/12
(D) 6N/7
(E) N/7

Source: Grockit



We see that N x ⅓ x ¼ = N/12 people both received a degree in the applied sciences and graduated from a school in one of six northeastern states. Thus, 1 - N/12 = 11N/12 people did not both receive a degree in the applied sciences and graduate from a school in one of six northeastern states.

Note: The wording of this question is confusing. The question asks the number of people who DID NOT DO BOTH. If we let A = degree in applied science and N = graduated from a school in one of six northeastern states, then we see there are 4 possible events: [A,N] [A, not N] [not A, N] [not A, not N]. This question asks the number of people who were NOT [A, N], which means that we count the number of people in the three remaining events as the correct answer.

It is a common error to misinterpret the question as asking the number who were (only) [not A, not N], but in this case the question would be “How many people neither received a degree in applied science nor graduated from a school in one of six northeastern states.?

Answer: A
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Re: In 1997, N people graduated from college. If 1/3 of them rec [#permalink]
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