Mr. X has three children. The birthday of the first child falls on the...
5th Monday of April can be
either 29th April or 30th April
Case 1 : 29th April is 5th Monday
then 1 + 31 + 30 + 31 + 31 + 30 + 31 + 1 = 186 Days = 26*7 + 4
=> so 1 November will be Friday
=> which means 29th , 30th Nov are Friday & Saturday
so there's no 5th Thursday in November when 5th Monday of April is on 29th .
Case 2 : 30th April Monday is 5th Monday
then 31 + 30 + 31 + 31 + 30 + 31 + 1 = 185 Days = 26*7 + 3
=> so 1 November will be Thursday
=> which means 29th Nov is 5th Thursday, which is our case
=> so 6th Dec is also Thursday
6 + (2 * 7) = 20
=> So, 20th Dec is also Thursday (3rd Thursday of December)
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Mr. X has three children. The birthday of the first child falls on the...
Mr. X has three children. The birthday of the first child falls on the...
First child's birthday:
- The first child's birthday falls on the 5th Monday of April.
- We know that April has 30 days.
- Therefore, the fifth Monday will fall on April 30th.
Second child's birthday:
- The second child's birthday falls on the 5th Thursday of November.
- November has 30 days as well.
- Therefore, the fifth Thursday will fall on November 29th.
Calculating the gap between the second child's birthday and the third child's birthday:
- The second child's birthday falls on November 29th.
- The third child's birthday falls on December 20th.
- We need to calculate the number of days between these two dates.
Number of days between November 29th and December 20th:
- November has 30 days, so there are 30 - 29 = 1 day left in November.
- Therefore, there are 1 + 20 = 21 days between November 29th and December 20th.
Calculating the day on which the third child's birthday falls:
- We know the third child's birthday falls 21 days after November 29th.
- Since November 29th is a Thursday, we need to find the day that is 21 days after Thursday.
Finding the day 21 days after Thursday:
- We start counting from Thursday: Thursday (1), Friday (2), Saturday (3), Sunday (4), Monday (5), Tuesday (6), Wednesday (7), Thursday (8), Friday (9), Saturday (10), Sunday (11), Monday (12), Tuesday (13), Wednesday (14), Thursday (15), Friday (16), Saturday (17), Sunday (18), Monday (19), Tuesday (20), Wednesday (21).
Conclusion:
- The third child's birthday falls on a Wednesday, which is the 21st day after November 29th.
- Therefore, the correct answer is option (d) Thursday.
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