Question

Mrs. Preston and Mrs. Martinez want their students to conscientiously do their homework. Mrs. Preston collects homework three days a week, but the students don't know which days she will collect it. Mrs. Martinez collects it on Mondays, Wednesdays, and Fridays. Both teachers score and return the homework each day after giving it. What days of the week does Mrs. Preston collect homework?

1) Mondays, Wednesdays, and Fridays
2) Tuesdays, Thursdays, and Saturdays
3) Sundays, Mondays, and Wednesdays
4) Mondays, Tuesdays, and Thursdays

Answer 1

Mrs. Preston collects homework on Mondays, Tuesdays, and Thursdays, as these are the only school days left that do not overlap with Mrs. Martinez's known collection days of Mondays, Wednesdays, and Fridays.

Step-by-step explanation:

The question asks what days of the week Mrs. Preston collects homework. Since Mrs. Martinez collects homework on Mondays, Wednesdays, and Fridays, and students are aware of this schedule, Mrs. Preston's collection schedule must be different to maintain the element of surprise. The provided options do not include overlapping with Mrs. Martinez's known days, so we are left with the option that does not include Mrs. Martinez's collection days. Therefore, the answer is the only remaining set of days that are school days but not the days Mrs. Martinez collects homework, which is option 4) Mondays, Tuesdays, and Thursdays.