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GMAT - Prep - Venn Diagram - IR

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GMAT - Prep - Venn Diagram - IR [#permalink] New post 23 Aug 2013, 17:40
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Hi,
Can anyone walk me through with this IR? Can this be solved through Double Matrix Set.
Your help will be appreciated by Kudos.
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Re: GMAT - Prep - Venn Diagram - IR [#permalink] New post 26 Aug 2013, 20:49
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Expert's post
imhimanshu wrote:
Hi,
Can anyone walk me through with this IR? Can this be solved through Double Matrix Set.
Your help will be appreciated by Kudos.


Data obtained from the diagram:

Total students = 300
No of students of age 30 yrs or more = 110 + 50 = 160 (11 symbols in left circle + 5 in common area of the two circles)
No of students with no high school diploma = 40 + 50 = 90 (4 symbols in right circle + 5 in common area of the two circles)
No of students of age 30 yrs or more and no diploma = 50 (Common region of the two circles)
No of students of age 30 yrs or more with diploma = 110 (11 symbols in left circle)
No of students with no diploma but less than 30 yrs = 40 (4 symbols in right circle)

No of students less than 30 yrs = 300 - 160 = 140
No of students with a diploma = 300 - 90 = 210

No of students under 30 and with diploma = 100 (10 symbols outside the circles)

1.
No of students under 30 or with diploma = 140 + 210 - 100 = 250
Required probability = 250/300 = 5/6

2.
No of students under 30 and with diploma = 100
Required Probability = 100/300 = 1/3
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Expert Post
Veritas Prep GMAT Instructor
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Joined: 16 Oct 2010
Posts: 4668
Location: Pune, India
Followers: 1073

Kudos [?]: 4781 [0], given: 163

Re: GMAT - Prep - Venn Diagram - IR [#permalink] New post 26 Aug 2013, 20:52
Expert's post
imhimanshu wrote:
Hi,
Can anyone walk me through with this IR? Can this be solved through Double Matrix Set.
Your help will be appreciated by Kudos.


Also, you can use Double Matrix too.

.............................With Diploma........No Diploma
Under 30 yrs
30 yrs or more
Total

Fill in values from the diagram.
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Re: GMAT - Prep - Venn Diagram - IR [#permalink] New post 30 Aug 2013, 05:20
VeritasPrepKarishma wrote:
No of students under 30 or with diploma = 140 + 210 - 100 = 250
Required probability = 250/300 = 5/6



Thanks Karishma for the detailed write up.
I'm through with the calculations, however, whats bothering me is the wording of Question A. How did you conclude that question A asks for No of Students under 30 or with diploma? whereas question says : Find number of students under 30 or high school diploma or both? Please enlighten me.

Thanks
H
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Re: GMAT - Prep - Venn Diagram - IR   [#permalink] 30 Aug 2013, 05:20
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