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At a certain high school, the junior class is twice the size [#permalink]

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21 May 2012, 04:29

3

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A

B

C

D

E

Difficulty:

25% (medium)

Question Stats:

77% (02:32) correct
23% (01:40) wrong based on 142 sessions

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At a certain high school, the junior class is twice the size of the senior class. If 1/3 of the seniors & 1/4 of the juniors study Japanese, what fraction of the students in both classes do not study Japanese?

A. 1/6 B. 5/18 C. 5/12 D. 7/12 E. 13/18

Is it possible to do as follows? 1/3*s+1/4*2s = study japanese then 5/6 * s = study japanese and 1/6 do not why is this wrong?

At a certain high school, the junior class is twice the size of the senior class. If 1/3 of the seniors & 1/4 of the juniors study Japanese, what fraction of the students in both classes do not study Japanese?

A. 1/6 B. 5/18 C. 5/12 D. 7/12 E. 13/18

Is it possible to do as follows? 1/3*s+1/4*2s = study japanese then 5/6 * s = study japanese and 1/6 do not why is this wrong?

If we do the way you proposed then the # of the students that study Japanese is 1/3*s+1/4*2s=5s/6. Since the total # of the students is s+2s=3s then the # of the students that does not study Japanese is 3s-5s/6=13s/6, so fraction of the students that do not study Japanese is (13s/6)/3s=13/18.

Answer: E.

Else you can do as follows: say there are 6 seniors and 2*6=12 juniors, so total of 6+12=18 students.

2/3 of the seniors do not study Japanese, so 2/3*6=4 seniors do not study Japanese; 3/4 of the juniors do not study Japanese, so 3/4*12=9 juniors do not study Japanese;

Total of 4+9=13 students do not study Japanese, which is 13/18 of all students.

Re: At a certain high school, the junior class is twice the size [#permalink]

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02 Sep 2014, 18:26

Hello from the GMAT Club BumpBot!

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Re: At a certain high school, the junior class is twice the size [#permalink]

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25 Nov 2016, 03:23

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: At a certain high school, the junior class is twice the size [#permalink]

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06 Dec 2016, 09:55

kashishh wrote:

At a certain high school, the junior class is twice the size of the senior class. If 1/3 of the seniors & 1/4 of the juniors study Japanese, what fraction of the students in both classes do not study Japanese?

A. 1/6 B. 5/18 C. 5/12 D. 7/12 E. 13/18

Is it possible to do as follows? 1/3*s+1/4*2s = study japanese then 5/6 * s = study japanese and 1/6 do not why is this wrong?

J = junior class size S = senior class size Total class size = J+S = 3S ( because J= 2S)

2/3 S and 3/4J don't study Japanese. Total number not studying Japanese = (2/3)S + (3/4)J= (2/3)S + (3/4) * 2S = (13/6)S

Re: At a certain high school, the junior class is twice the size [#permalink]

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06 Dec 2016, 10:05

kashishh wrote:

At a certain high school, the junior class is twice the size of the senior class. If 1/3 of the seniors & 1/4 of the juniors study Japanese, what fraction of the students in both classes do not study Japanese?

A. 1/6 B. 5/18 C. 5/12 D. 7/12 E. 13/18

Let the no of students in Senior Class be 6 So, the no of students in Junior Class be 12

Total No of Students is 18

So, 2 students of Senior Class study Japanese And, 3 students of Junior Class study Japanese

Students who study Japanese is 5

Hence, 13 students do not study Japanese.

Thus, fraction of the students in both classes do not study Japanese is 13/18

Hence, answer will be (E) 13/18 _________________

Thanks and Regards

Abhishek....

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