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10 Aug 2023, 10:00
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A
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Difficulty:
65%
(hard)
Question Stats:
69% (02:50) correct
31%
(02:50)
wrong
based on 1223
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Last year in Country X, 15% of all students who received an undergraduate degree received their degree from a Type 1 university, while 30% of all students who received an undergraduate degree in a STEM (science, technology, engineering, or mathematics) major received their degree from a Type 1 university. Last year in Country X, what percent of all students who received an undergraduate degree from a Type 1 university received an undergraduate degree in a STEM major?
(1) Last year in Country X, 30% of all students who received an undergraduate degree received an undergraduate degree in a STEM major.
(2) Last year in Country X, a total of 9,000 students received a degree in a STEM major from a Type 1 university.
(1) Last year in Country X, 30% of all students who received an undergraduate degree received an undergraduate degree in a STEM major.
(2) Last year in Country X, a total of 9,000 students received a degree in a STEM major from a Type 1 university.
10 Aug 2023, 13:35
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Bunuel
- Number of students who received an undergraduate degree= \(u\)
- Number of students who received an undergraduate degree in a STEM = \(s\)
- Number of students who received an undergraduate degree from Type 01 university = \(0.15*u\)
- Number of students who received an undergraduate degree in a STEM major from Type 01 university = \(0.3*s\)
Required Ratio = \(0.3*\frac{s }{ 0.15u}\)
Statement 1
(1) Last year in Country X, 30% of all students who received an undergraduate degree received an undergraduate degree in a STEM major.
\(0.3 * u = s\)
Therefore we can find the ratio of \(\frac{s }{ n}\). The statement alone is sufficient to find a unique value of \(\frac{s }{ n}\). We can eliminate, B, C, and E.
Statement 2
(2) Last year in Country X, a total of 9,000 students received a degree in a STEM major from a Type 1 university.
\(0.3*s = 9000\)
We can get the value of s, however, to solve the question, we need the value of \(\frac{s }{ n}\).
The statement alone is not sufficient. Option A
15 Apr 2024, 04:24
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Bunuel
The question can be simply done using Sets.
We are talking about all students who received degree so assume that is 100.
15% of these i.e. 15 received their degree from a Type 1.
Say S received their degree in STEM. 30% of these S received their STEM degree from Type 1 (overlap of Type 1 and STEM)
Attachment:
Screenshot 2024-04-15 at 4.46.19 PM.png [ 109.49 KiB | Viewed 31368 times ]
(1) Last year in Country X, 30% of all students who received an undergraduate degree received an undergraduate degree in a STEM major.
This tells me that S = 30. Then 30% of 30 = 9 so 9 people lie in the overlap region of the two circles.
So 9 of the 15 people who belonged to Type 1 belonged to STEM too which gives us 60%.
Sufficient alone.
(2) Last year in Country X, a total of 9,000 students received a degree in a STEM major from a Type 1 university.
This tells me that actual value of S = 9000 but I don't have the actual value of Total degrees. I had assumed it to be 100. So I don't know the actual value of Type I and the actual value of overlap.
Not suffiicent alone.
Answer (A)
Check Sets Video here:
https://youtu.be/HRnuURqGhmg
