Assume that John's grade in physics is higher than his grade in Italian and consecutive with it and that his grades i...
katyMarch 15, 2023
Ordering
Why can't we conclude that he would get each of these letter grades? Since the answer choices are framed like he would get A and B... so on, I don't understand how to isolate the right answer when we can conclude that since the adjacent letters are out of order, he would have to get at least one of each letter.
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This all comes down to what the new condition introduced in this question tells us. We are told that P and I are now consecutive in that order. This sets up a block of three that must be consecutive, GPI. We also know that I is next to R, and that R cannot be the same grade as P, so R must be a lower grade than I, which forces us to now have a block of four: GPIR.
Since there are only five grades, there are now only two places this block of four can go: A-D or B-E.
Either way, the B, C, and D slots must be filled, so he must get at least one B, one C, and one D.
