The 250 students enrolled at ABC University are taking undergraduate, graduate courses, or both. How many students...

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BTGmoderatorLU: Moderator; Posts: 2547; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

by BTGmoderatorLU » Sat Dec 19, 2020 4:07 am

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Source: Princeton Review

The 250 students enrolled at ABC University are taking undergraduate courses, graduate courses, or both. How many students are taking graduate courses?

1) 200 students are taking undergraduate courses
2) 50 students are taking both undergraduate and graduate courses

The OA is C

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Source: Beat The GMAT — Data Sufficiency | Sat Dec 19, 2020 4:07 am

deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pmFollowed by: 5 members

Re: The 250 students enrolled at ABC University are taking undergraduate, graduate courses, or both. How many students..

by deloitte247 » Sun Dec 27, 2020 1:53 pm

Total students = 250
Let the number of students taking undergraduate courses = a
Let the number of students taking graduate courses = b
For 2 overlapping sets, total = set 1 + set 2 - both + none
i.e 250 = a + b - both +0

Target question => How many students are taking graduate courses? i.e find the value of b

Statement 1 => 200 students are taking undergraduate courses
a = 200 but the value of ''b'' and ''both'' is unknown so statement 1 is NOT SUFFICIENT

Statement 2 => 50 students are taking both undergraduate and graduate courses
both student = 50 but the value of a and b is unknown so statement 2 is NOT SUFFICIENT

Combining both statements together =>
From statement 1 => a = 200
From statement 2 => both = 50
From question stem => total = a + b - both + none
250 = 200 + b - 50 + 0
250 = 150 + b
b = 250 - 150 = 100
Both statements combined together ARE SUFFICIENT

Answer = C

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