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Sub 505 Level|   Fractions and Ratios|               
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SimaQ
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yezz
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I got A as well

(40+1/3*x)*1/4=1/8*x

solve for x
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SimaQ
In a certain school, 40 more than 1/3 of all the students are taking a science course and 1/4 of those taking a science course are taking physics. If 1/8 of all the students in the school are taking physics, how many students are in the school ?

(A) 240
(B) 300
(C) 480
(D) 720
(E) 960

When I saw this question, i thought its a venn diagram question and tried to resolve.
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SimaQ
In a certain school, 40 more than 1/3 of all the students are taking a science course and 1/4 of those taking a science course are taking physics. If 1/8 of all the students in the school are taking physics, how many students are in the school ?

(A) 240
(B) 300
(C) 480
(D) 720
(E) 960
Let the total no of students be 8x

So, students taking physics = x ; students taking science = 4x

Now, 8x/3 + 40 = 4x

So, 8x + 120 = 12x

Or, 4x = 120

So, x = 30

Thus, total no of students in the school will be (A) 240
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there can be a students who takes only physics.. why that possibility is not considered?
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But the questions is not telling us if 1/4 of science students studying physics are also the only students in the school taking physics?
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This is a poor quality question from the GMAC. The solution assumes that all students who are both in the science and physics classes make up the entirety of the physics class. What about the physics students that are not science students ? How can we infer that no other groups of physics students exist?
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