If this year is a leap year and February 22nd falls on a Wednesday, which of the following dates falls on a Friday?AMarch 12thBMarch 13thCMarch 14thDMarch 15thEMarch 16th
Question
If this year is a leap year and February 22nd falls on a Wednesday, which of the following dates falls on a Friday?AMarch 12thBMarch 13thCMarch 14thDMarch 15thEMarch 16th
Solution
To solve this problem, we need to calculate the number of days from February 22nd to each of the given dates in March, and then determine which of these totals would correspond to a Friday if February 22nd is a Wednesday.
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Calculate the number of days remaining in February. Since it's a leap year, February has 29 days. So, there are 29 - 22 = 7 days remaining in February after the 22nd.
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Calculate the number of days from March 1st to each of the given dates:
- March 12th: 12 days
- March 13th: 13 days
- March 14th: 14 days
- March 15th: 15 days
- March 16th: 16 days
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Add the number of days remaining in February to the number of days in March to get the total number of days from February 22nd to each date:
- February 22nd to March 12th: 7 + 12 = 19 days
- February 22nd to March 13th: 7 + 13 = 20 days
- February 22nd to March 14th: 7 + 14 = 21 days
- February 22nd to March 15th: 7 + 15 = 22 days
- February 22nd to March 16th: 7 + 16 = 23 days
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Determine which of these totals would correspond to a Friday. Since February 22nd is a Wednesday, we know that every day that is a multiple of 7 from this date will also be a Wednesday (because there are 7 days in a week). Therefore, two days after any multiple of 7 will be a Friday.
- 19 days after Wednesday, February 22nd is not a Friday because 19 is not two days after a multiple of 7.
- 20 days after Wednesday, February 22nd is not a Friday because 20 is not two days after a multiple of 7.
- 21 days after Wednesday, February 22nd is a Wednesday because 21 is a multiple of 7.
- 22 days after Wednesday, February 22nd is a Thursday because 22 is one day after a multiple of 7.
- 23 days after Wednesday, February 22nd is a Friday because 23 is two days after a multiple of 7.
So, the answer is E. March 16th.
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