Which of the following numbers is greater than three fourths of the nu

Question

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

vannu · Accepted Answer

38 69 22 73 31 47 13 82

This can sorted into:
13 22 31 38 47 69 73 82

three fourth of the numbers:
13 22 31 38 47 69

one fourth of the numbers:
73 82

71 is the right answer.

Hope it helps...

Bunuel · Answer

The list contains 8 numbers: 13, 22, 31, 38, 47, 69, 73, and 82.

More than three-fourth of the numbers so more than 6 numbers (3/4*8=6) and less than one-fourth of the numbers so less than 2 number (1/4*8=2) means more than 69 (6th greatest number) and less than 73. From the answer choices only 71 satisfies this condition.

Answer: D.

BrentGMATPrepNow · Answer

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

ericnkem · Answer

Thanks a lot Bunuel! I figured it out a bit later.
please be patient with me.

Sarang · Answer

Important:- Arrange the numbers in ascending order first.

13, 22, 31, 38, 47, 69, 73, 82

3/4th of the number list represents- 69 (6th number)
remaining 1/4th list represents 73 (7 th number)

71 fits in between above 2

Answer:- D

gettinit · Answer

I goofed up and picked 69 figuring i need to pick a number from the list. Need to read more carefully.

fluke · Answer

Arrange the numbers in ascending order:
13, 22, 31, 38, 47, 69, 73, 82 (Just cross check the count to ensure that you didn't miss anything)

How many numbers do we see?
8, alright.

What's (1/4)8?
2.

What's (3/4)8?
6.

We're asked to find a number that are greater than 6 numbers in the list AND smaller than the remaining two.
 13, 22, 31, 38, 47, 69 ,  73, 82

13, 22, 31, 38, 47, 69 : Find a number greater than any of these numbers.
 73, 82 : Find a number smaller than any of these numbers.

Only 71 fits the description.

Ans: "D"

keats · Answer

It made me think a lot. GMAT literally plays with language. This is not more than a 600 level question (and that too because of the usage of the language)

CrackverbalGMAT · Answer

There are 8 numbers. In ascending order, they are 13, 22, 31, 38, 47, 69, 73, 82

The number should be greater than 3/4th of the numbers > 3/4 * 8 > 6 numbers

The number should be lesser than 1/4th of the numbers < 1/4 * 8 < 2 numbers

The number (X) we want to insert is the 7th number. 13, 22, 31, 38, 47, 69, X, 73, 82

69 < X < 73

Option D

Arun Kumar

gmatpro15 · Answer

More than three-fourth of the numbers so more than 6 numbers (3/4*8=6) and less than one-fourth of the numbers so less than 2 number (1/4*8=2) means more than 69 (6th greatest number) and less than 73. From the answer choices only 71 satisfies this condition.

Solenja · Answer

Hey Mr.Brent 
i've tried to understand this question so many times and I'm still in a dilemma what the question was asking. 
Can you explain again please.
Thank you

HarshavardhanR · Answer

https://gmatclub.com/forum/download/file.php?id=83554 Harsha GMAT-Club-Forum-ghjcegtz.png

Which of the following numbers is greater than three fourths of the nu

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GMAT Problem Solving (PS) Questions

Which of the following numbers is greater than three fourths of the nu

Prep Toolkit

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