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Showing posts from May 31, 2020

05/31/2020 (2011: National Sprint Round, Problem 4)

Q: If you subtract 100 from the square of an integer n, the result is 50 more than five times the integer n.What is the greatest possible value of n? A: 15

05/31/2020 (2011: National Sprint Round, Problem 3)

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Q: The enrollment at West Middle School is 450 students. If 350 students participate in sports, 125 students participate in fine arts and 50 students participate in both sports and fine arts, how many students do not participate in either sports or fine arts? A: 25

05/31/2020 (2011: National Sprint Round, Problem 2)

Q: A local restaurant boasts that they have 240 different dinner combinations. A dinner combination consists of an appetizer, entrée, and dessert. If the restaurant offers 10 appetizer choices and 6 entrée choices, how many different dessert choices does it have? A: 4

05/31/2020 (2011: National Sprint Round, Problem 1)

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Q: What is the sum of all of the two-digit positive integers "AB" with the property that the units digit, B, is four times the tens digit, A? A: 42