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In a science college, 80 more than (1/3)rd of all the students took a

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In a science college, 80 more than (1/3)rd of all the students took a  [#permalink]

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New post 26 Sep 2018, 04:51
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A
B
C
D
E

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Question Stats:

79% (02:04) correct 21% (02:27) wrong based on 76 sessions

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In a science college, 80 more than (1/3)rd of all the students took a science course and (1/3)th of those who took a science course took chemistry. If (1/6)th of all the students in the school took chemistry, how many students are in the school?

(A) 200
(B) 240
(C) 480
(D) 600
(E) 720

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Re: In a science college, 80 more than (1/3)rd of all the students took a  [#permalink]

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New post 26 Sep 2018, 04:58
Let total no. Of students in school = x
Let total no. Of students who took science = s

Given that : 80 + x/3 = s

Let no. Of students who took chemistry = c

S/3 = c
x/6 = c
So while solving , x = 2s
While substituting the value of s in the equation 80 +x/3=s

We get ,x = 480
Hence answer will be 480

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Re: In a science college, 80 more than (1/3)rd of all the students took a  [#permalink]

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New post 26 Dec 2018, 09:24
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Hey Guys!

We can easily try numbers for a total of X. Assuming that X has to be divisible by 3, thus A is out. Values B, D and E are divisible by 3 but when added 80 they are not divisible by 3 anymore. As far as the students studying both Science and Chemistry has to be an integer, the only value left is C) 480.

480:3=160
160+80=240 No. of students studying Science
240:3 80 No. of students studying both Science and Chemistry.

Have a nice studying!
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Re: In a science college, 80 more than (1/3)rd of all the students took a   [#permalink] 26 Dec 2018, 09:24
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