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GMAT Prep Probability

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naveenhv
 Post subject: GMAT Prep Probability
 Post Posted: Fri May 06, 2011 1:23 pm 
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{-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10}

A number is to be selected at random from the set above. What is the probability that the number will be a solution to the equation (x-5)(x+10)(2X+5) = 0?

a) 1/12

b) 1/6

c) 1/4

d) 1/3

e) 1/2
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jnelson0612
 Post subject: Re: GMAT Prep Probability
 Post Posted: Fri May 06, 2011 7:07 pm 
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ManhattanGMAT Staff


Posts: 1857
naveen, for your own learning I'm going to ask you to do a little work here. What does it mean when a "number will be a solution to the equation (x-5)(x+10)(2X+5) = 0"? It means that one of those terms will be equal to zero so that when all three are multiplied together the result is zero.

In that case, what are the values of x that will result in a product of zero?

Once you have answered that, it should help you determine the probability of choosing one of those numbers from the set above. Remember, probability is the number of desired outcomes/the number of total outcomes.

Take a shot at this and then please post what you get. Thanks!

_________________
Jamie Nelson
ManhattanGMAT Instructor
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