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07 Nov 2019, 02:53
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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:
75%
(hard)
Question Stats:
53% (02:15) correct
47%
(02:13)
wrong
based on 311
sessions
History
Date
Time
Result
Not Attempted Yet
Each student at a certain Mathematics exam either solved the hardest problem correctly or incorrectly. What percent of the examinees solved the hardest problem correctly?
(1) The average score of those students who solved the hardest problem correctly was 12 more than the average score of all students.
(2) The average score of those students who solved the hardest problem incorrectly was 3 less than the average score of all students.
Are You Up For the Challenge: 700 Level Questions
(1) The average score of those students who solved the hardest problem correctly was 12 more than the average score of all students.
(2) The average score of those students who solved the hardest problem incorrectly was 3 less than the average score of all students.
Are You Up For the Challenge: 700 Level Questions
25 Jun 2020, 12:39
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Total class score --> Mean Score*Total People --> M*P
Total score of the people who answered right --> (M+12)*N
Total score of the people who answered Wrong--> (M-3)*(P-N)
((M-3)*(P-N) + (M+12)*N) / P = M
MP-3P-MN+3N+MN+12N = PM
15N = 3P ( Rest of them cancel out)
N = 3/15 --> 20%
option -C
Total score of the people who answered right --> (M+12)*N
Total score of the people who answered Wrong--> (M-3)*(P-N)
((M-3)*(P-N) + (M+12)*N) / P = M
MP-3P-MN+3N+MN+12N = PM
15N = 3P ( Rest of them cancel out)
N = 3/15 --> 20%
option -C
07 Nov 2019, 21:20
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Bunuel
Note :- I would take that the marks are 1 for correct and 0 for wrong and no negative marking..
Statements individually are not sufficient as they talk of a particular group to overall only..
So the combined will give us the answer..
C
To solve it, use weighted average method..
...Correct ....total......incorrect
..x+12.........x............x-3
Fraction of students answered correctly = \(\frac{x-(x-3)}{x+12-(x-3)}=\frac{3}{15}=\frac{1}{5}\)=20%
