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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Difficult Math Problem #103 - Sets
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Neo2000
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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 ??
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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beatthegmat
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Hi Neo:
There isn't an easy way to insert images directly within posts. You have two options:
There isn't an easy way to insert images directly within posts. You have two options:
- Upload image as attachment, which will be viewable to members
- 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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beatthegmat
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I'm happy you like our style here, Neo. 
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BTGmoderatorRO
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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
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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Scott@TargetTestPrep
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We can use the formula:800guy wrote: ↑Wed Feb 28, 2007 7:16 pmOut 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
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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