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Most likely range

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LulaBrazilia Master | Next Rank: 500 Posts Default Avatar
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Most likely range

Post Thu Jan 16, 2014 8:22 am
If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between?

A) 0 and 3/20

B) 3/20 and 1/5

C) 1/5 and 1/4

D) 1/4 and 3/10

E) 3/10 and 1/2

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GMAT/MBA Expert

Post Thu Jan 16, 2014 8:28 am
LulaBrazilia wrote:
If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between?

A) 0 and 3/20
B) 3/20 and 1/5
C) 1/5 and 1/4
D) 1/4 and 3/10
E) 3/10 and 1/2
We need to determine the LENGTH OF EACH INTERVAL.
The interval that has the greatest length, will be the most likely interval.

To determine the length of each interval, it may be faster to first convert the fractions to decimals. We get:

A) 0 and 0.15 (interval length = 0.15)
B) 0.15 and 0.2 (interval length = 0.05)
C) 0.2 and 0.25 (interval length = 0.05)
D) 0.25 and 0.3 (interval length = 0.05)
E) 0.3 and 0.5 (interval length = 0.2)

Answer: E

Cheers,
Brent

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GMAT/MBA Expert

Post Thu Jan 16, 2014 8:31 am
LulaBrazilia wrote:
If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between?

A) 0 and 3/20
B) 3/20 and 1/5
C) 1/5 and 1/4
D) 1/4 and 3/10
E) 3/10 and 1/2
Alternatively, we might rewrite each fraction with a common denominator of 20 to get:

A) 0 and 3/20 (interval length = 3/20)
B) 3/20 and 4/20 (interval length = 1/20)
C) 4/20 and 5/20 (interval length = 1/20)
D) 5/20 and 6/20 (interval length = 1/20)
E) 6/20 and 10/20 (interval length = 4/20)

Answer: E

Cheers,
Brent

_________________
Brent Hanneson – Founder of GMATPrepNow.com
Use our video course along with Beat The GMAT's free 60-Day Study Guide

Check out the online reviews of our course
Come see all of our free resources

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GMAT/MBA Expert

Patrick_GMATFix GMAT Instructor
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Post Thu Jan 16, 2014 8:33 am
The solution below is taken from the GMATFix App.



-Patrick

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