a number between

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a number between

by ST » Thu Jun 04, 2009 9:56 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

Answer is E

Could someone please explain this?
Source: — Problem Solving |

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by Osirus@VeritasPrep » Thu Jun 04, 2009 10:03 am
first divide 3/20 and you get 0.15, next just look at the ranges

a) 0 through 0.15
b) 0.15 through 0.2
c) 0.2 through 0.25
d) 0.25 through 0.3
e) 0.3 through .5

E has the largest range with it being 0.2. The problem you may have had is that you weren't instantly able to convert the fractions to decimals. One thing I did was made flashcards with the common fractions (according to my Barrons book) the only one that wasn't in Barrons was the 3/20, so that's the only one I had to figure out.

*edited to correct typo in d