7. In a certain year, there were exactly four Fridays and exactly four Mondays in May. On what day of the week did the 21st of May fall that year?
Answers
Answer:
There are 31 days in may, if there are four Fridays and four mondays, then first day of the week has to be a Tuesday. because then 4 weeks would be 28 days and 3 more days will be Tuesday, Wednesday and Thursday. only possible case.
Hence 21st would be a Monday as in 3 complete weeks starting from tuesday hence monday. and next would again start from tuesday.
You can also form the calender after first step with tuesday as day 1 and realise that 21 is Monday.
21st of May fall on Monday that year.
Given:
In a certain year, there were exactly four Fridays and exactly four Mondays in May.
To find:
On what day of the week did the 21st of May fall that year?
Solution:
There are 31 days in may, if there are four Fridays and four Mondays, then first day of the week has to be a Tuesday. because then 4 weeks would be 28 days and 3 more days will be Tuesday, Wednesday and Thursday, only possible case.
1st of May will be Tuesday.
Hence 21st would be a Monday as in 3 complete weeks as 1 week is of 7 days and 3 *7 = 21, starting from Tuesday hence Monday. and next would again start from Tuesday.
The week will end on Monday.
Hence, the answer is Monday.
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