In a particular course, only two grades are given all semester: the midterm exam, which counts for 25% of the semester

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Fri Apr 01, 2022 7:45 pm

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In a particular course, only two grades are given all semester: the midterm exam, which counts for 25% of the semester grade, and the final exam, which counts for the remainder. Lindsey's semester grade was 88%. If the highest possible score on either exam is 100%, what is the lowest possible score that Lindsey could have received on her midterm exam?

A. 52%
B. 64%
C. 72%
D. 76%
E. 80%

OA A

Source: Veritas Prep

Source: Beat The GMAT — Problem Solving | Fri Apr 01, 2022 7:45 pm

GMATinsight: Legendary Member; Posts: 1100; Joined: Sat May 10, 2014 11:34 pmFollowed by: 24 members; Location: New Delhi, India; Thanked: 205 times

Re: In a particular course, only two grades are given all semester: the midterm exam, which counts for 25% of the semest

by GMATinsight » Sat Apr 02, 2022 4:59 am

BTGmoderatorDC wrote: ↑
Fri Apr 01, 2022 7:45 pm
In a particular course, only two grades are given all semester: the midterm exam, which counts for 25% of the semester grade, and the final exam, which counts for the remainder. Lindsey's semester grade was 88%. If the highest possible score on either exam is 100%, what is the lowest possible score that Lindsey could have received on her midterm exam?

A. 52%
B. 64%
C. 72%
D. 76%
E. 80%

OA A

Source: Veritas Prep

For lowest score in midterm the final exam grade should be highest i.e. 100% (in exam comprising 75% weightage)

Now the average grade = 88

so 100*75 + x*25 = 88*100

i.e. 25x = 1300
i/e. x = 52

ANswer: Option A

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