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In 1997, N people graduated from college. If 1/3 of them rec
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22 Sep 2016, 11:32
22 Sep 2016, 11:32
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Question Stats:
64% (01:52) correct
35% (02:34) wrong based on 70 sessions
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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
(A) 11N/12
(B) 7N/12
(C) 5N/12
(D) 6N/7
(E) N/7
Source: Grockit
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: In 1997, N people graduated from college. If 1/3 of them rec
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22 Sep 2016, 11:34
22 Sep 2016, 11:34
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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
(A) 11N/12
(B) 7N/12
(C) 5N/12
(D) 6N/7
(E) N/7
Source: Grockit
Here's the Double Matrix Method with step-by-step details:
Note: This technique can be used for most questions featuring a population in which each member has two criteria associated with it.
Here, the criteria are:
- degree(applied sciences or not)
- school location(north eastern state or not)
In 1997, N people graduated from college.
1/3 of them received a degree in the applied sciences
Of those (1/3)N students, 1/4 graduated from a school in one of six northeastern states.
In other words, (1/12)N students have a degree in applied sciences and graduated from a northeastern school.
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?
If the box that has (1/12)N students in it represents the students with a degree in applied sciences and graduated from a northeastern school, then the remaining boxes (shaded in blue) must represent the students who did not both receive a degree in the applied sciences and graduate from a school in one of six northeastern states.
Since all 4 boxes must add to N (the total number of students), the 3 shaded boxes must add to (11/12)N.
Answer =
Show: ::
A
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Re: In 1997, N people graduated from college. If 1/3 of them rec
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16 Dec 2018, 21:22
16 Dec 2018, 21:22
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?
