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Most likely range

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LulaBrazilia Really wants to Beat The GMAT! Default Avatar
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Most likely range Post Thu Jan 16, 2014 8:22 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    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 free video course along with Beat The GMAT's free 60-Day Study Guide

    GMAT Prep Now's 35-hour (500+ videos) course is 100% FREE. Use our free course in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!

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    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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