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

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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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25% (medium)

Question Stats:

82% (02:16) correct 18% (01:36) wrong based on 370 sessions

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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?

A. 0.9
B. 0.7
C. 0.45
D. 0.3
E. 0.25
[Reveal] Spoiler: OA

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

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20 Mar 2012, 12:06
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enigma123 wrote:
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.

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%.

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

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07 Jun 2013, 06:03
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

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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%

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

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08 Jun 2013, 23:48
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Since the numbers are in % form,let’s assume that the total base size of students is 100

Arranging them into table form,as calculation will be easier

Male Female Total
< 25 years old
29 42 71

>= 25 years old
(40/100)*48 = 19 (20/100)*52 =10 29

Total
48 52 100

Probability = Favourable possibilities/Total possibilities

= (29+42)/100

= (71)/100 = 0.71
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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.

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