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A group of students is preparing for Reading Comprehension, 70% of the

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A group of students is preparing for Reading Comprehension, 70% of the  [#permalink]

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03 Feb 2019, 11:41
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Difficulty:

55% (hard)

Question Stats:

62% (01:38) correct 38% (01:26) wrong based on 34 sessions

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A group of students is preparing for Reading Comprehension, 70% of the students read frequently The Economist and 60% of the students read frequently the Wall Street Journal to get better at Reading Comprehension. What percentage of all the students in the group don't read frequently either of the two journals?

1. There are 80 students in the group.
2. 40% of the students read frequently both journals.
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Re: A group of students is preparing for Reading Comprehension, 70% of the  [#permalink]

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03 Feb 2019, 20:10
The Economist - 70%
Wall street journal - 60%
Neither = ?

From statement 1:

The total number of students is given, but no info about how many people read both.
Hence 1 is insufficient.

From statement 2:

40% of students read both the articles.

100% = 70+60-40+Neither
Neither = 10%
Statement 2 is Sufficient.

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Re: A group of students is preparing for Reading Comprehension, 70% of the  [#permalink]

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05 Feb 2019, 10:04
rencsee wrote:
A group of students is preparing for Reading Comprehension, 70% of the students read frequently The Economist and 60% of the students read frequently the Wall Street Journal to get better at Reading Comprehension. What percentage of all the students in the group don't read frequently either of the two journals?

1. There are 80 students in the group.
2. 40% of the students read frequently both journals.

Information given:

70% of the students read The Economist.

60% of the students read the Wall Street Journal.

These percentages will be the same no matter how many students there are.

If there are 100 students:

60 students read the Wall Street Journal.

If there are 50 students:

30 students read the Wall Street Journal.

The number of students does not affect the percentages, it only affects the absolute number that each percentage represents.

Question:

What percentage of all the students in the group don't read frequently either of the two journals?

Statement 1: There are 80 students in the group.

Since we have only percentage information, this answer has no effect on our ability to determine what percentage of students do not read either.

For example we could have:

70% of 80 = 56 read the Economist.

60% of 80 = 48 read the Wall Street Journal.

or we could have:

70% of 80 = 56 read the Economist.

60% of 80 = 48 read the Wall Street Journal.

All of the people who read the Economist read the Wall Street Journal as well. So, 48 read both.

Insufficient.

Statement 2: 40% of the students read frequently both journals.

With this information we can tell how much overlap there is between the percentage of students who read the Economist and the percentage who read the Wall Street Journal.

This overlap in percentage terms will be the same regardless of the number of students.

If there are 100 students:

60 students read the Wall Street Journal.

40% of 100 = 40 read both.

So the overlap is 40 students.

A + B - Both + Neither = Total

70 + 60 - 40 + Neither = 100

Neither = 10

10/100 = 10%

If there are 50 students:

30 students read the Wall Street Journal.

40% of 50 = 20 read both.

So the overlap is 20 students.

A + B - Both + Neither = Total

35 + 30 - 20 + Neither = 50

Neither = 5

5/50 = 10%

For any number of students, the Neither percentage will be 10%.

Sufficient.

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Re: A group of students is preparing for Reading Comprehension, 70% of the   [#permalink] 05 Feb 2019, 10:04
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