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Which of the following numbers is greater than three-fourths of the numbers but less than one-fourth of the numbers in

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by Vincen » Fri Jul 09, 2021 10:30 am

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\(\{38, 69, 22, 73, 31, 47, 13, 82\}\)

Which of the following numbers is greater than three-fourths of the numbers but less than one-fourth of the numbers in the list above?

A) 56
B) 68
C) 69
D) 71
E) 73

Answer: D

Source: GMAT Prep
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Re: Which of the following numbers is greater than three-fourths of the numbers but less than one-fourth of the numbers

by Brent@GMATPrepNow » Sun Jul 11, 2021 5:29 am
Vincen wrote: ↑
Fri Jul 09, 2021 10:30 am
 \(\{38, 69, 22, 73, 31, 47, 13, 82\}\)

Which of the following numbers is greater than three-fourths of the numbers but less than one-fourth of the numbers in the list above?

A) 56
B) 68
C) 69
D) 71
E) 73

Answer: D

Source: GMAT Prep
Arrange the values in ascending order: 13, 22, 31, 38, 47, 69, 73, 82

There are 8 numbers all together.
3/4 of 8 = 6
1/4 of 8 = 2

So we're looking for a number that's greater than 6 of the numbers but less than 2 of the numbers
In other words, we want a number that's greater than 69 but less than 73 like so: 13, 22, 31, 38, 47, 69,| number | 73, 82
71 is one such number.

Answer: D
Brent Hanneson - Creator of GMATPrepNow.com
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