Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50007

In a particular course, only two grades are given all semester: the
[#permalink]
Show Tags
18 Aug 2015, 01:45
Question Stats:
81% (01:50) correct 19% (02:25) wrong based on 178 sessions
HideShow timer Statistics



Current Student
Joined: 20 Mar 2014
Posts: 2633
Concentration: Finance, Strategy
GPA: 3.7
WE: Engineering (Aerospace and Defense)

Re: In a particular course, only two grades are given all semester: the
[#permalink]
Show Tags
18 Aug 2015, 04:49
Bunuel wrote: 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%
Kudos for a correct solution. Let m be the score in the mid term and f be the score in finals. Per the question, \(\frac{0.25m+0.75f}{1}\) \(= 0.88\) For minimising m, we need to maximise f and thus put f = 1, we get \(m = \frac{0.13}{0.25} = 0.52\). A is the correct answer.



Manager
Joined: 14 Mar 2014
Posts: 147

Re: In a particular course, only two grades are given all semester: the
[#permalink]
Show Tags
18 Aug 2015, 21:38
Bunuel wrote: 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%
Kudos for a correct solution. IMO : A Let us consider out of 100 marks Lindsey's semester grade marks was 88. Given Final exam marks account for 75% of semester grade and mid term marks account for 25% of semester grade. 88 marks = (0.25)mid term marks + (0.75)final exam marksWe need minimum mid term marks. Hence Final exam he must score the maximum marks i.e. 100 88 marks = (0.25)mid term marks + (0.75)*100 13 = (0.25) * mid term marks Thus Mid term marks = 52 out of 100 i.e. 52%
_________________
I'm happy, if I make math for you slightly clearer And yes, I like kudos ¯\_(ツ)_/¯



SVP
Joined: 26 Mar 2013
Posts: 1838

Re: In a particular course, only two grades are given all semester: the
[#permalink]
Show Tags
19 Aug 2015, 03:26
Assume the total = 100 ......> Lindsay' mark=88
To obtain the min possible in the midterm exam, it must had full mark in final exam 75........> 8875=13
13/25= ??? above 50 as 12.5 is 50%. Answer is 52%
Answer: A



Math Expert
Joined: 02 Sep 2009
Posts: 50007

Re: In a particular course, only two grades are given all semester: the
[#permalink]
Show Tags
23 Aug 2015, 11:56
Bunuel wrote: 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%
Kudos for a correct solution. VERITAS PREP OFFICIAL SOLUTION:If the midterm counts for 25% of the total grade, then the final exam must count for the remaining 75%, meaning that in this weighted average problem the final is weighted 3 times as much as the midterm. Using the weighted average mapping strategy, then, and maximizing her final exam score so that you minimize her midterm score, you have: 10088x And you know that the ratio is 3:1. Since the final exam score of 100 is weighted heavier, then the difference of 12 between 100 and 88 is the "1" part of the ratio, meaning that 3(12) is the 3 portion. That equals 36, so the midterm score (x) is 36 less than the weighted average of 88. 88  36 = 52, so the correct answer is 52%.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Manager
Joined: 08 Oct 2016
Posts: 205
Location: United States
Concentration: General Management, Finance
GPA: 2.9
WE: Engineering (Telecommunications)

Re: In a particular course, only two grades are given all semester: the
[#permalink]
Show Tags
21 Apr 2017, 11:31
Bunuel wrote: 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%
Kudos for a correct solution. How I did it I took smart numbers Since mid term count 25% so 25 marks from mid term final exam count 75% mean 75 if we have to answer what is min score she score to have 88% on final suppose she score 75 now 75 is 13 short of 88 so 75+13=88 so Lindsey scored 13/25 on mid term which is approx 52% Choice A
_________________
Got Q42,V17 Target#01 Q45,V20April End



Chat Moderator
Joined: 07 Mar 2016
Posts: 45

In a particular course, only two grades are given all semester: the
[#permalink]
Show Tags
21 Apr 2017, 11:58
The midterm grade is 1/4 of the final grade, and the prompt asks for the lowest value that she can score on the test and maintain an 88%. 88=x+100+100+100/4 352=x+300 52=x Answer choice "A"
_________________
...once and a while you get shown the light, in the strangest of places if you look at it right...



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830

Re: In a particular course, only two grades are given all semester: the
[#permalink]
Show Tags
26 Jan 2018, 10:47
Bunuel wrote: 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% To find Lindsey’s lowest possible score on the midterm, we can assume that Lindsey received a 100 on her final exam. Let’s let x = her midterm score; thus, we have 0.25x + 0.75(100) = 88 0.25x + 75 = 88 0.25x = 13 x = 13/0.25 = 52 Answer: A
_________________
Jeffery Miller
Head of GMAT Instruction
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions




Re: In a particular course, only two grades are given all semester: the &nbs
[#permalink]
26 Jan 2018, 10:47






