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The Venn diagram shows the enrollment of 400 college students in one

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The Venn diagram shows the enrollment of 400 college students in one  [#permalink]

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New post 13 Apr 2018, 01:15
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56% (01:38) correct 44% (01:56) wrong based on 41 sessions

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The Venn diagram shows the enrollment of 400 college students in one or more of three classes: mathematics, English, and physics. What percent of the students are taking only mathematics or only physics and no other class?

(1) Of the 400 students, 240 are taking English.
(2) Of the 400 students, 190 are taking mathematics and 140 are taking physics.

Attachment:
2018-04-13_1313.png
2018-04-13_1313.png [ 21.65 KiB | Viewed 729 times ]

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Re: The Venn diagram shows the enrollment of 400 college students in one  [#permalink]

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New post 13 Apr 2018, 01:23
3
IMO D

St1
Students that (physics+ maths) only=400-(240+20)=140
%= 140*100/400

St2
math=190-(50+30+20)=100
phy=140-(20+30+40)=50
%=150*100/400
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Re: The Venn diagram shows the enrollment of 400 college students in one  [#permalink]

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New post 13 Apr 2018, 01:24
Bunuel wrote:
Image
The Venn diagram shows the enrollment of 400 college students in one or more of three classes: mathematics, English, and physics. What percent of the students are taking only mathematics or only physics and no other class?

(1) Of the 400 students, 240 are taking English.
(2) Of the 400 students, 190 are taking mathematics and 140 are taking physics.

Attachment:
2018-04-13_1313.png


(1) No info about Math and physics..Hence Insufficient As there may be a few students not taking any of Phy, Math or english.

(2) 190 are total math... from the figure we can find out the only math part. ( 190 - 50 - 30 - 20 = 100) similarly for physics. Suff to find only physics + only math.

Hence Option (B) is our answer.

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Re: The Venn diagram shows the enrollment of 400 college students in one  [#permalink]

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New post 13 Apr 2018, 01:39
Gladiator59 wrote:
Bunuel wrote:
Image
The Venn diagram shows the enrollment of 400 college students in one or more of three classes: mathematics, English, and physics. What percent of the students are taking only mathematics or only physics and no other class?

(1) Of the 400 students, 240 are taking English.
(2) Of the 400 students, 190 are taking mathematics and 140 are taking physics.

Attachment:
2018-04-13_1313.png


(1) No info about Math and physics..Hence Insufficient As there may be a few students not taking any of Phy, Math or english.

(2) 190 are total math... from the figure we can find out the only math part. ( 190 - 50 - 30 - 20 = 100) similarly for physics. Suff to find only physics + only math.

Hence Option (B) is our answer.

Best,
Gladi
"enrollment of 400 college students in one or more of three classes: mathematics, English, and physics" - doesn't it mean that all 400 are part of atleast one of them?
Hence A also looks sufficient along with B.


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Re: The Venn diagram shows the enrollment of 400 college students in one  [#permalink]

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New post 13 Apr 2018, 01:47
Sayon wrote:
"enrollment of 400 college students in one or more of three classes: mathematics, English, and physics" - doesn't it mean that all 400 are part of atleast one of them?
Hence A also looks sufficient along with B.


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Hi Sayon ,

You are correct here. If we can be sure that all students are in one of the three classes. Then we can find out the sum of students for only Math + only Phy after subtracting the other categories from 400.

Thanks for pointing out. :-D

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Re: The Venn diagram shows the enrollment of 400 college students in one  [#permalink]

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New post 28 Apr 2018, 05:48
As question talks About enrollment in one or more courses so neither has value zero here

I)only English slot value is available via statement
To calculate only maths and physics subtract all other from 400

II)gives value of only maths and only physics so sufficient

D IS ANSWER

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Re: The Venn diagram shows the enrollment of 400 college students in one &nbs [#permalink] 28 Apr 2018, 05:48
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