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Difficult Math Problem #103 - Sets

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by 800guy » Wed Feb 28, 2007 7:16 pm
Out of 20 surveyed students 8 study math and 7
study both math and physics. If 10 students do not
study either of these subjects, how many students
study physics but not math?

(A) 1
(B) 2
(C) 4
(D) 5
(E) 6

from diff math doc. answer coming when some people respond with explanations
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by Neo2000 » Wed Feb 28, 2007 7:58 pm
Look at the attached image.
Number of people studying both M & P = 7
Number studying ONLY M = 1
Number NOT studying any subject = 10
Therefore total number of students studying ONLY P = 20 -(10+1+7) = 2


p.s. Can someone show me how to insert an image directly into the post ??
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by beatthegmat » Wed Feb 28, 2007 8:01 pm
Hi Neo:

There isn't an easy way to insert images directly within posts. You have two options:
  1. Upload image as attachment, which will be viewable to members
  2. Host the image on another website and link to that image here (this will make the image appear embedded within the post)
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by Neo2000 » Wed Feb 28, 2007 8:05 pm
Thanks Eric.

I was actually aiming for option 1 itself. My experience on other forums is that an attached image is usually shown at the bottom of the post but here its nice, big and bold :)
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by beatthegmat » Wed Feb 28, 2007 8:13 pm
I'm happy you like our style here, Neo. :)
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oa

by 800guy » Fri Mar 02, 2007 10:23 am
here's the OA:

total = gr1 + gr2 - both + neither
20 = 8 + P - 7 + 10
P = 9, 9 students study both P and M, 7 study both, 9-7 = 2 study only P
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by BTGmoderatorRO » Sun Sep 03, 2017 12:26 pm
we can solve this using Venn diagram,
let M represent Mathematics and P denotes Physics
total number of students=20
number of students that study M and P= 7
number of students that do not study M nor P= 10
number students that study only M=8-7=1
number students that study only P = 20 - (10 + 1 + 7 ) =2

option B is correct
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Re: Difficult Math Problem #103 - Sets

by Scott@TargetTestPrep » Sat Feb 08, 2020 12:47 pm
800guy wrote: ↑
Wed Feb 28, 2007 7:16 pm
 Out of 20 surveyed students 8 study math and 7
study both math and physics. If 10 students do not
study either of these subjects, how many students
study physics but not math?

(A) 1
(B) 2
(C) 4
(D) 5
(E) 6

from diff math doc. answer coming when some people respond with explanations
We can use the formula:

Total = Math + Physics - Both + Neither

So we have:

20 = 8 + P - 7 + 10

20 = 11 + P

9 = P

Since the 9 people studying Physics include the 7 people who also study Math, the number of people who study Physics only is 9 - 7 = 2.

Answer: B

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