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Updated on: 05 Nov 2015, 04:15
Originally posted by excelingmat on 04 Nov 2015, 10:48.
Last edited by excelingmat on 05 Nov 2015, 04:15, edited 1 time in total.
Last edited by excelingmat on 05 Nov 2015, 04:15, edited 1 time in total.
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
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Question Stats:
71% (03:01) correct
29%
(03:16)
wrong
based on 28
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Not Attempted Yet
New Age has three consultants G, M and B. The sum of the number of projects handled by G and B individually is equal to the number of projects in which M is involved. All three consultants are involved together in 6 projects. G works with M in 14 projects. B has 2 projects with M but without G, and 3 projects with G but without M. The total number of projects for New Age Consultants is one less than twice the number of projects in which more than one consultant is involved.What is the number of projects in which M alone is involved?
(a) 0
(b) 1
(c) 3
(d) 4
(e) 5
(a) 0
(b) 1
(c) 3
(d) 4
(e) 5
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04 Nov 2015, 11:47
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excelingmat
As I understand we do not really need all that number information
Let's assume
G, B and M - projects alone
BG, BM, GM - projects in pair
BGM - all three consultant involved.
Quote:
G+B = Mx = GBM + GM + BM +M
Total number of projects:
T = BGM + BG + BM + GM + B + G + M = 2(BGM + BG + BM + GM) -1
Since we already knew that G + B = Mx = GBM + GM + BM +M
T= BGM + BG + BM + GM + GBM + GM + BM + M + M = 2BGM + 2BG + 2BM +2GM -1
2BGM+BG +2BM + 2GM + 2M = 2BGM + 2BG + 2BM +2GM -1
2M = BG -1
2M = 3 - 1
M = 1
douglasvg
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04 Nov 2015, 12:44
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I prefer to draw, its better to understand
(after you see the attached file)
G (individual) + B (individual) = M (all involved)
G + B = M + 8 + 6 + 2
G+B = M + 16
total number of projects
((8+6+2+3)*2)-1 = 37
leave only the projects worked alone, without partners:
37 - 19 = 18 projects
G+B+M=18
M+16+M=18
2M=2
M=1
(after you see the attached file)
G (individual) + B (individual) = M (all involved)
G + B = M + 8 + 6 + 2
G+B = M + 16
total number of projects
((8+6+2+3)*2)-1 = 37
leave only the projects worked alone, without partners:
37 - 19 = 18 projects
G+B+M=18
M+16+M=18
2M=2
M=1
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
