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09 Feb 2024, 02:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
73% (01:49) correct
27%
(01:51)
wrong
based on 252
sessions
History
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Not Attempted Yet
The students in a certain college class took a midterm exam and a final exam, both of which were scored out of a total of 100 points. What percent of the students earned a higher score on the final than on the midterm?
(1) Of the students in the class, 28% scored at least 6 points higher on the final than on the midterm.
(2) Of the students who scored higher on the final than on the midterm, 40% scored at least 6 points higher on the final.
(1) Of the students in the class, 28% scored at least 6 points higher on the final than on the midterm.
(2) Of the students who scored higher on the final than on the midterm, 40% scored at least 6 points higher on the final.
Aryaa03
Joined: 12 Jun 2023
Last visit: 23 Jul 2025
Posts: 210
Given Kudos: 159
Location: India
Schools: ISB '27 (A) IIM Calcutta '26 (A) IIMA '26 (D)
GMAT Focus 1: 645 Q86 V81 DI78 
09 Feb 2024, 02:50
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Bunuel
IMO-Option-C
Say, x be the total number of students and y be the number of students scoring higher in final term.
Asked: \(\frac{y}{x}*100\)
St-1:
Of the students in the class, 28% scored at least 6 points higher on the final than on the midterm.
No. of students scoring atleast six points higher = 0.28x
No information of students other with 1 to 5 points higher. Thus y can't be determined.
Insufficient
St-2:
Of the students who scored higher on the final than on the midterm, 40% scored at least 6 points higher on the final.
No. of students scoring atleast six points higher = 0.4y
We do not have any info about x
Insufficient
(1) + (2)
0.28x = 0.4y ==> \(\frac{y}{x}*100\) = \(\frac{0.28}{0.40}*100\) = 70%
Sufficient
09 Feb 2024, 16:20
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Option C
Say, we have 100 students.
Statement 1:
Of the students in the class, 28% scored at least 6 points higher on the final than on the midterm.
This is a useless option to look to. Says nothing about other possiblities.
Insufficient.
Statement 2:
Of the students who scored higher on the final than on the midterm, 40% scored at least 6 points higher on the final.
Say we have P students who scored higher on the final.
So, 0.4P students scored 6 or more points higher.
So what, how does it help us to find value of P?
Insufficient.
If we club both statements together, we have:
Of the students who scored higher on the final than on the midterm, 40% scored at least 6 points higher on the final and that is 28% of the total students. So, now we know that:
0.4P = 28 [we supposed total number to be 100]
=> P = \(\frac{28}{0.4}\) = \(\frac{28*5}{2}\) = 70
=> P = 70
Hence, correct option should be C.
Say, we have 100 students.
Statement 1:
Of the students in the class, 28% scored at least 6 points higher on the final than on the midterm.
This is a useless option to look to. Says nothing about other possiblities.
Insufficient.
Statement 2:
Of the students who scored higher on the final than on the midterm, 40% scored at least 6 points higher on the final.
Say we have P students who scored higher on the final.
So, 0.4P students scored 6 or more points higher.
So what, how does it help us to find value of P?
Insufficient.
If we club both statements together, we have:
Of the students who scored higher on the final than on the midterm, 40% scored at least 6 points higher on the final and that is 28% of the total students. So, now we know that:
0.4P = 28 [we supposed total number to be 100]
=> P = \(\frac{28}{0.4}\) = \(\frac{28*5}{2}\) = 70
=> P = 70
Hence, correct option should be C.
