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In Hill Dale High School, the percentage of students with grades above

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In Hill Dale High School, the percentage of students with grades above  [#permalink]

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New post 02 Aug 2018, 05:47
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In Hill Dale High School, the percentage of students with grades above 80 percent is higher in the junior class than in the senior class, but the percentage of students with grades above 90 percent is higher in the senior class.

Which of the following must be true on the basis of the statements above?

A.The average class grade of the senior class is higher than that of the junior class
B.The number of students with grades above 80 percent is greater in the junior class than in the senior class
C.The number of students with grades lower than 80 percent is greater in the senior class than in the junior class
D.Some students in the junior class have grades between 80 percent and 90 percent.
E.The number of students with grades above 90 percent is higher in the senior class than in the junior class

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Re: In Hill Dale High School, the percentage of students with grades above  [#permalink]

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New post 02 Aug 2018, 06:21
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Which of the following must be true on the basis of the statements above?

A.The average class grade of the senior class is higher than that of the junior class

Since we were given only Percentages and we don't know the exact number of students either in junior or in senior class, we cannot compare the averages INCORRECT

B.The number of students with grades above 80 percent is greater in the junior class than in the senior class

Since we were given only Percentages and we don't know the exact number of students either in junior or in senior class, we cannot compare the averages INCORRECT

C.The number of students with grades lower than 80 percent is greater in the senior class than in the junior class

Since we were given only Percentages and we don't know the exact number of students either in junior or in senior class, we cannot compare the averages INCORRECT

D.Some students in the junior class have grades between 80 percent and 90 percent.

Some students in junior class must have grades between 80% and 90%. Otherwise the percentage of student with grades > 90% will be higher in junior class than senior class. This contradicts the information given in the argument. Hence there must a few students in junior class who have grades between 80% and 90%

E.The number of students with grades above 90 percent is higher in the senior class than in the junior class

Since we were given only Percentages and we don't know the exact number of students either in junior or in senior class, we cannot compare the averages INCORRECT

Hence option D
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In Hill Dale High School, the percentage of students with grades above  [#permalink]

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New post 02 Aug 2018, 11:39
In Hill Dale High School, the percentage of students with grades above 80 percent is higher in the junior class than in the senior class, but the percentage of students with grades above 90 percent is higher in the senior class.

Which of the following must be true on the basis of the statements above?

A.The average class grade of the senior class is higher than that of the junior class
B.The number of students with grades above 80 percent is greater in the junior class than in the senior class
C.The number of students with grades lower than 80 percent is greater in the senior class than in the junior class
D.Some students in the junior class have grades between 80 percent and 90 percent.
E.The number of students with grades above 90 percent is higher in the senior class than in the junior class

When given Percentages, we generally can not compare the number of entities.
Answer Choice D stands out of the rest.

Lets evaluate this one first.
As per the argument, Junior class has some no of students between 80 & 100, this no is higher than the Senior Class.
But, Senior Class has higher no of students between 90 & 100.
This implies there must be some students in the Junior class between 80 & 100.

Hence our Answer is D.

I know it is always better to eliminate than to choose the right answer, bu in this particular case I found it easier to jump directly onto the Answer choice D.
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In Hill Dale High School, the percentage of students with grades above &nbs [#permalink] 02 Aug 2018, 11:39
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