Re: Roger bought some pencils and erasers at the stationery store. If he b
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23 Jan 2023, 23:21
OE
Choice (A) is true because Roger would have bought at least 7 pencils (to go with 5 erasers) if he bought the minimum possible total number of items. (6 of each is impossible, as the number of pencils is greater than the number of erasers. Likewise, choice (C) is disproved, as the number of erasers would have been fewer than 6 in this case.) If he bought more than 12 items, the number of pencils could not be any less than 7 and still be greater than the number of erasers.
On the other hand, choice (B) need not be true, because Roger could have bought as many as 19 pencils, even if you assume that he has to buy at least one of each item.
Finally, choice (D) must be true, because even if Roger bought the maximum possible number of items (20), less than half of those would have to be erasers. Thus, 9 erasers is the most he could have purchased; io of each is impossible.