Mr. Jolie gives a test every Friday that the day of the month is either a perfect square or a prime number. If Mr. Jolie gives four tests in a month, what is the sum of the days of the month on which he gave a test?

Question

Britney Harvey

Mathematics

3 August, 10:49

Mr. Jolie gives a test every Friday that the day of the month is either a perfect square or a prime number. If Mr. Jolie gives four tests in a month, what is the sum of the days of the month on which he gave a test?

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Answers (1)

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Reid Lam · Answer 1

Well, konda, here is my best answer for you!

The possible sets of days for Fridays in a month are {1, 8, 15, 22, 29}, {2, 9, 16, 23, 30}, {3, 10, 17, 24, 31}, {4, 11, 18, 25}, {5, 12, 19, 26}, {6, 13, 20, 27} and {7, 14, 21, 28}. For the first set of days the month would have 2 tests. For the second set of days there would be 4 tests. For the remaining sets the number of tests would be 3, 3, 2, 1 and 1, respectively. There is only one set of days that results in 4 tests. The sum of the days of the tests is 2 + 9 + 16 + 23 = 50.