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19 Feb 2012, 07:30
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
76% (02:50) correct
24%
(03:19)
wrong
based on 322
sessions
History
Date
Time
Result
Not Attempted Yet
Every student of a certain school must take one and only one elective course. In last year, 1/2 of the students took biology as an elective, 1/3 of the students took chemistry as an elective, and all of the other students took physics. In this year, 1/3 of the students who took biology and 1/4 of the students who took chemistry left school, other students did not leave, and no fresh student come in. What fraction of all students took biology and took chemistry?
A. 7/9
B. 6/7
C. 5/7
D. 4/9
E. 2/5
A. 7/9
B. 6/7
C. 5/7
D. 4/9
E. 2/5
19 Feb 2012, 07:37
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Lets pick smart numbers. Total number of students: 12
Biology (1/2): 6
Chemistry (1/3): 4
Physics (1/6): 2
After leaving school
Biology: 4
Chemistry: 3
Physics: 2
New Total number of students: 9
Biology and Chemistry: 7
Answer 7/9 or A
Biology (1/2): 6
Chemistry (1/3): 4
Physics (1/6): 2
After leaving school
Biology: 4
Chemistry: 3
Physics: 2
New Total number of students: 9
Biology and Chemistry: 7
Answer 7/9 or A
General Discussion
05 Mar 2013, 21:11
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I did in this way (was wrong earlier)
Biology = 1/2
Chemistry = 1/3
So, physics = 1 - (1/2+1/3) = 1/6
Biology students left = (1/2)/3 = 1/6. So remaining = 1/2 - 1/6 = 1/3 ------------- (i)
Chemistry students left = (1/3)/4 = 1/12. So remaining = 1/3 - 1/12 = 1/4 --------------- (ii)
Total Biology & Chemistry students left = (i) + (ii) = 7/12
Total all students left = 7/12 + 1/6 = 9/12 = 3/4
So the fraction comes up as (7/12) / (3/4) = 7/9
the
Biology = 1/2
Chemistry = 1/3
So, physics = 1 - (1/2+1/3) = 1/6
Biology students left = (1/2)/3 = 1/6. So remaining = 1/2 - 1/6 = 1/3 ------------- (i)
Chemistry students left = (1/3)/4 = 1/12. So remaining = 1/3 - 1/12 = 1/4 --------------- (ii)
Total Biology & Chemistry students left = (i) + (ii) = 7/12
Total all students left = 7/12 + 1/6 = 9/12 = 3/4
So the fraction comes up as (7/12) / (3/4) = 7/9
the
