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
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    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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    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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    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

    GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!

    GMAT/MBA Expert

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



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