AMC 8 Daily Practice Round 1

Complete problem set with solutions and individual problem pages

Problem 5 Medium

Among 40 students solving three math problems, 25 solved the first problem correctly, 28 solved the second problem correctly, and 31 solved the third problem correctly. How many students solved all three problems correctly, at least.

  • A.

    3

  • B.

    4

  • C.

    5

  • D.

    6

  • E.

    7

Answer:B

The number of students who solved both the second and the third problems is 28 + 31 - 40 = 19 \quad (\text{students}),

and the number of students who solved all three problems is 40 - (25 + 28 + 31 - 13 - 16 - 19) = 4 \quad (\text{students}).

Related Problems
Problem 3 AMC 8 Daily Practice Round 1
Problem 4 AMC 8 Daily Practice Round 1
Problem 6 AMC 8 Daily Practice Round 1
Problem 7 AMC 8 Daily Practice Round 1
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