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11 Nov 2006, 06:49
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
77% (01:18) correct
23%
(01:47)
wrong
based on 634
sessions
History
Date
Time
Result
Not Attempted Yet
This semester, each of the 90 students in a certain class took at least one course from A, B, and C. If 60 students took A, 40 students took B, 20 students took C, and 5 students took all the three, how many students took exactly two courses?
A. 15
B. 20
C. 25
D. 30
E. 35
A. 15
B. 20
C. 25
D. 30
E. 35
11 Nov 2006, 07:46
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Only A = 60 - 5 - AB - AC = 55 - AB - AC
Only B = 40 - 5 - AB - BC = 35 - AB - BC
Only C = 20 - 5 - AC - BC = 15 - AC - BC
(55- AB - AC) + (35-AB-BC) + (15-AC-BC) + 5 + AB + AC + BC = 90
110 - AB - AC - BC = 90
AB+ AC+BC =20
Only B = 40 - 5 - AB - BC = 35 - AB - BC
Only C = 20 - 5 - AC - BC = 15 - AC - BC
(55- AB - AC) + (35-AB-BC) + (15-AC-BC) + 5 + AB + AC + BC = 90
110 - AB - AC - BC = 90
AB+ AC+BC =20
General Discussion
