Mahesh visited his cousin Akash during the summer vacation. In themornings, they both would go for swimming. In the evenings, they would playtennis. They would engage in at most one activity per day, i.e. either they wentswimming or played tennis each day. There were days when they took rest andstayed home all day long. There were 32 mornings when they did nothing, 18evenings when they stayed at home, and a total of 28 days when they swam orplayed tennis. What duration of the summer vacation did Mahesh stay withAkash?A.46 daysB.36 daysC.39 daysD.58 days
Question
Mahesh visited his cousin Akash during the summer vacation. In themornings, they both would go for swimming. In the evenings, they would playtennis. They would engage in at most one activity per day, i.e. either they wentswimming or played tennis each day. There were days when they took rest andstayed home all day long. There were 32 mornings when they did nothing, 18evenings when they stayed at home, and a total of 28 days when they swam orplayed tennis. What duration of the summer vacation did Mahesh stay withAkash?A.46 daysB.36 daysC.39 daysD.58 days
Solution
The problem can be solved by adding the number of mornings they did nothing (32 days), the number of evenings they stayed at home (18 days), and the total number of days they either swam or played tennis (28 days).
However, it's important to note that the days they swam or played tennis are already included in the days they did nothing in the morning or stayed at home in the evening. So, we should not count these days twice.
Therefore, the total duration of the summer vacation that Mahesh stayed with Akash is 32 days (mornings they did nothing) + 18 days (evenings they stayed at home) - 28 days (days they swam or played tennis) = 22 days.
So, the correct answer is not listed among the options (A.46 days, B.36 days, C.39 days, D.58 days). There seems to be a mistake in the problem or the answer choices.
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