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In the graduating class of a certain college, 48 percent of [#permalink]

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20 Mar 2012, 08:39

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In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 20 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?

In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 20 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?

A. 0.9 B. 0.7 C. 0.45 D. 0.3 E. 0.25

Percent of students who are 25 years old or older is 0.4*48+0.2*52=~30, so percent of people who are less than 25 years old is 100-30=70.

Answer: B.

This can also be done with an approximation method. Since percent of men and women are almost the same (48% and 52%) then percent of students who are 25 years old or older will be close to the average of 40% and 20%, so close to 30%, which makes percent of people who are less than 25 years old close to 70%.

Re: In the graduating class of a certain college, 48 percent of [#permalink]

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07 Jun 2013, 06:22

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I like to make diagrams. For me, it is easy to see clear steps this way

Attachment:

Class under 25.jpg [ 27.08 KiB | Viewed 9799 times ]

Step 1: Fill in what you know. 48% male, 52% female Step 2: Do known calculations: 48% x 40% = 19.2%. 52% x 20% = 10.4% Step 3: Fill in the rest of the chart as necessary. In this case, you just need the total 25 and older (19.2% + 10.4% = 29.6%) and under 25 (100-29.6%). Step 4: Find the answer. The % under 25 is 70.4% which is approximately 70%

Re: In the graduating class of a certain college, 48 percent of [#permalink]

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03 Nov 2014, 17:51

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In the graduating class of a certain college, 48 percent of [#permalink]

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29 Nov 2014, 20:27

Shocked this is an actual gmat question. The percentages don't give interger values for those 25+. Had it not been for the "approximatly" I would have just thrown my hands in resignation. Still such an odd questions.

Re: In the graduating class of a certain college, 48 percent of [#permalink]

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29 Jan 2016, 04:52

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In the graduating class of a certain college, 48 percent of [#permalink]

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18 Jun 2016, 01:15

total x male = 0.48x female = 0.52x

In this class 40 percent of the male and 20 percent of the female students are 25 years old or older. I infer this as 0.40 of x & not of 0.48x & 0.20 of x & not of 0.52x as it says In this class

gmatclubot

Re: In the graduating class of a certain college, 48 percent of
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18 Jun 2016, 01:15

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