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

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Math Expert
Joined: 02 Sep 2009
Posts: 51215
The Venn diagram shows the enrollment of 400 college students in one  [#permalink]

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13 Apr 2018, 01:15
00:00

Difficulty:

45% (medium)

Question Stats:

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 [ 21.65 KiB | Viewed 729 times ]

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Joined: 28 Apr 2014
Posts: 49
GMAT 1: 640 Q50 V25
Re: The Venn diagram shows the enrollment of 400 college students in one  [#permalink]

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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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13 Apr 2018, 01:24
Bunuel wrote:

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,
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Joined: 08 Jan 2018
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Re: The Venn diagram shows the enrollment of 400 college students in one  [#permalink]

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13 Apr 2018, 01:39
Bunuel wrote:

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,
"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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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.

Sent from my Lenovo TB3-710F using GMAT Club Forum mobile app

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.

Best,
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Joined: 02 Oct 2017
Posts: 727
Re: The Venn diagram shows the enrollment of 400 college students in one  [#permalink]

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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

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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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