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# ­A person applying for a research program has to undergo three cycles

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Re: ­A person applying for a research program has to undergo three cycles [#permalink]
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But when we add the selected and rejected we should be getting a total of 132 right?
45+37 = 82

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Re: ­A person applying for a research program has to undergo three cycles [#permalink]
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37 is the selected candidates without getting interviewed by C. They have been recommended by both A and B.
Add to it 50 recommended by C(this lot was recommended by one of A or B and required positive recommendation from C)
Total selected = 37+50 = 87
Rejected = 45

Total : 87+45 = 132
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­A person applying for a research program has to undergo three cycles [#permalink]
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Re: ­A person applying for a research program has to undergo three cycles [#permalink]
Very interesting question. I think the best way to solve it by going with the options.
Let's take 44 as selected and check if it works.
If 44 are recommended by both A and B then,
recommended only by A = 70-44=26
recommended only by B = 86-44= 42
that means recommended by only one out of A and B = 26+42 = 68 (this is essentially the number of people C will interview which should be 82) hence 44 is incorrect.

Checking for 37,
recommended by A only = 70-37=33
recommended by B only = 80-37=49
and 49+33= 82 hence 37 is correct.

Now Not Selected we have 82-50=32 people rejected by C and 132-(37+82) = 13 people rejected by both A and B. Hence, total = 32+13=45 for Not Selected.
Re: ­A person applying for a research program has to undergo three cycles [#permalink]
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