Why F Must be true?

Started by sandydanadurst@yahoo.com · started 2021-03-22 18:02 · last activity 2021-04-13 23:01 · 1 reply

I thought that FGH were interchangeable?

Replies

  1. Victoria · 2021-04-13 23:01

    Hi @sandydanadurst@yahoo.com, Happy to help! F, G, and H are not interchangeable because of the conditions imposed by the question stem. Let's run through the set-up quickly. We know that six textbooks will each be evaluated over six weeks. There are three I textbooks - F, G, and H - and three A textbooks - X, Y, and Z. Each textbook will be evaluated once by J and once by R. J: _ _ _ _ _ _ R: _ _ _ _ _ _ 1 2 3 4 5 6 Rule 1 - R cannot evaluate any I textbook until J has evaluated that textbook Therefore, R cannot evaluate any I textbook during Week 1 and J cannot evaluate any I textbook during Week 6. Rule 2 - J cannot evaluate any A textbook until R has evaluated that textbook. Therefore, J cannot evaluate any A textbook during Week 1 and R cannot evaluate any A textbook during Week 6. Rule 3 - R cannot evaluate any two I textbooks consecutively Rule 4 - J must evaluate X during Week 4 The question stem also tells us that J evaluates H during Week 3 and R evaluates G during Week 6. What do we know so far? J: _ _ H X _ _ R: _ _ _ _ _ G 1 2 3 4 5 6 Rule 1 tells us that R cannot evaluate any I textbook until J has evaluated that textbook. Therefore, R must evaluate H after Week 3. Rule 3 tells us that R cannot evaluate any two I textbooks consecutively. This means that R cannot evaluate H during Week 5. Therefore, R must evaluate H during Week 4 and R must evaluate A textbooks during Weeks 3 and 5. J: _ _ H X _ _ R: _ _ A H A G 1 2 3 4 5 6 This severely restricts the placement of F. R cannot evaluate F until after J has evaluated it. As there are only two weeks left open on R's schedule and we deduced above that R cannot evaluate any I textbook during Week 1, R must evaluate F during Week 2. This means that J must evaluate F during Week 1. Hope this helps! Please let us know if you have any further questions.

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