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Bunuel
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New Age has three consultants G, M and B. The sum of the number of pro 14 Aug 2018, 03:54
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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:

75% (hard)

Question Stats:

64% (03:31) correct 36% (03:31) wrong based on 234 sessions

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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
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B
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hitesh1509
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New Age has three consultants G, M and B. The sum of the number of pro 14 Aug 2018, 07:30
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I think the correct option is (B).. Here is the explanation.. Hope it helps...




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Attachment:
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d2ebd94511e35a53392d1cf1fc8d81aa.jpg [ 682.42 KiB | Viewed 9815 times ]
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Arro44
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New Age has three consultants G, M and B. The sum of the number of pro 20 Aug 2018, 09:56
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For some reason my notebook cant display the solution, can anyone help and explain the solution via a normal post? :)
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Bunuel
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New Age has three consultants G, M and B. The sum of the number of pro 20 Aug 2018, 10:13
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Arro44
For some reason my notebook cant display the solution, can anyone help and explain the solution via a normal post? :)
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I fixed the image above. Can you see it now?
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Arro44
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New Age has three consultants G, M and B. The sum of the number of pro 20 Aug 2018, 14:04
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Bunuel
Arro44
For some reason my notebook cant display the solution, can anyone help and explain the solution via a normal post? :)

I fixed the image above. Can you see it now?
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Hi Bunuel,

Yes and no, as stupid as it may sound.

I am able to see it via Firefox Quantum 61.0.2 (64-Bit) but cannot see it via Microsoft Edge 42.17134.1.0.
Thanks a lot for changing the format though.

Heads up for people using Edge, try accessing the image via FF.

Regards,
Chris
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New Age has three consultants G, M and B. The sum of the number of pro 02 Sep 2018, 20:57
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#Bunuel, VeritasKarishma
This question took lot of time. Is there anyway we can solve it under 2 minutes?
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New Age has three consultants G, M and B. The sum of the number of pro 02 Oct 2025, 13:39
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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

G works with M in 14 projects -->(including all3) --> exactly 2=14-6=8
Total projects=2*(8+2+3+6)-1=37
exaclty2=8+2+3=13
all 3=6
projects handled alone=37-19=18=G+B+M (1)

"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" --> G(alone)+B(alone)=M tot (alone or not) so
G+M=14 --> excluding all 3--> 14-6=8
B+M=2
all 3=6
so in the end G+B=M+8+2+6
G+B=M+16 (2)

(1) & (2) --> M+16+M=18 --> 2M=2 --> M=1
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