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19 Feb 2019, 14:13
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D
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:
76% (02:23) correct
24%
(02:32)
wrong
based on 209
sessions
History
Date
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Not Attempted Yet
GMATH practice exercise (Quant Class 6)
Each student in a certain class is considered intermediate or strong, but not both. The average of the grades of the strong students is 6.3 points, exactly two points above the average of the grades of the intermediate students. What is the percentage of strong students in this class, if the average of all students grades in this class is half point below the average of the grades of the strong students?
(A) 60%
(B) 65%
(C) 70%
(D) 75%
(E) 80%
Each student in a certain class is considered intermediate or strong, but not both. The average of the grades of the strong students is 6.3 points, exactly two points above the average of the grades of the intermediate students. What is the percentage of strong students in this class, if the average of all students grades in this class is half point below the average of the grades of the strong students?
(A) 60%
(B) 65%
(C) 70%
(D) 75%
(E) 80%
19 Feb 2019, 14:24
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AV of strong students = 6.3
AV of intermediate students = 4.3 (given)
AV of all students = 5.8 (given)
Let number of strong students be s and number of intermediate ones be i.
(6.3s + 5.8i)/(s + i) = 5.8
Solving this gives s = 3i
So Answer = (3i/(3i+i))*100 = 75% = D
Posted from my mobile device
AV of intermediate students = 4.3 (given)
AV of all students = 5.8 (given)
Let number of strong students be s and number of intermediate ones be i.
(6.3s + 5.8i)/(s + i) = 5.8
Solving this gives s = 3i
So Answer = (3i/(3i+i))*100 = 75% = D
Posted from my mobile device
20 Feb 2019, 11:40
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fskilnik
\(?\,\, = \,\,{{100} \over {100 + x}}\)
\(\left( {{\text{Alligation}}} \right)\,\,\,\,?\,\, = \,\,\frac{{100}}{{100 + x}}\,\, = \,\,\frac{{5.8 - 4.3}}{{6.3 - 4.3}}\,\, = \,\,\frac{{1.5}}{2}\,\, = \,\,\underleftrightarrow {\frac{1}{{10}}\left( {\frac{{15}}{2}} \right) = 0.75}\,\, = \,\,75\%\)
The correct answer is (D).
We follow the notations and rationale taught in the GMATH method.
Regards,
Fabio.
