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There are 5 Mondays in the month of March in a year. Which day of the week below could not appear in this month also five times?
- a)Thursday
- b)Wednesday
- c)Sunday
- d)Saturday
Correct answer is option 'A'. Can you explain this answer?
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There are 5 Mondays in the month of March in a year. Which day of the ...
Explanation:
To determine which day of the week could not appear in the month of March five times, we need to analyze the number of days in March and how they align with the days of the week.
Number of Days in March:
- March has 31 days.
Finding the Pattern:
- To determine the number of times a specific day of the week appears in a given month, we need to divide the total number of days in that month by 7 (the number of days in a week).
- The remainder will indicate the number of additional days that go beyond the complete weeks.
- For example, if the remainder is 0, it means the month starts and ends on the same day of the week, resulting in each day appearing exactly 4 times.
- If the remainder is 1, it means there is one additional day beyond the complete weeks, resulting in one day appearing 5 times, and the rest appearing 4 times.
- By analyzing the patterns for each day of the week, we can determine which day could not appear in the month five times.
Patterns for Each Day of the Week:
- Monday: In a month with 31 days, there will always be 4 Mondays and an additional day that may vary.
- Tuesday: In a month with 31 days, there will always be 4 Tuesdays and an additional day that may vary.
- Wednesday: In a month with 31 days, there will always be 4 Wednesdays and an additional day that may vary.
- Thursday: In a month with 31 days, there will always be 4 Thursdays and an additional day that may vary.
- Friday: In a month with 31 days, there will always be 4 Fridays and an additional day that may vary.
- Saturday: In a month with 31 days, there will always be 4 Saturdays and an additional day that may vary.
- Sunday: In a month with 31 days, there will always be 4 Sundays and an additional day that may vary.
Conclusion:
- Based on the analysis, every day of the week could appear five times in the month of March, as long as there are 31 days.
- Therefore, none of the given options (Thursday, Wednesday, Sunday, Saturday) could not appear in this month five times.
- The correct answer is option 'A' (Thursday).
To determine which day of the week could not appear in the month of March five times, we need to analyze the number of days in March and how they align with the days of the week.
Number of Days in March:
- March has 31 days.
Finding the Pattern:
- To determine the number of times a specific day of the week appears in a given month, we need to divide the total number of days in that month by 7 (the number of days in a week).
- The remainder will indicate the number of additional days that go beyond the complete weeks.
- For example, if the remainder is 0, it means the month starts and ends on the same day of the week, resulting in each day appearing exactly 4 times.
- If the remainder is 1, it means there is one additional day beyond the complete weeks, resulting in one day appearing 5 times, and the rest appearing 4 times.
- By analyzing the patterns for each day of the week, we can determine which day could not appear in the month five times.
Patterns for Each Day of the Week:
- Monday: In a month with 31 days, there will always be 4 Mondays and an additional day that may vary.
- Tuesday: In a month with 31 days, there will always be 4 Tuesdays and an additional day that may vary.
- Wednesday: In a month with 31 days, there will always be 4 Wednesdays and an additional day that may vary.
- Thursday: In a month with 31 days, there will always be 4 Thursdays and an additional day that may vary.
- Friday: In a month with 31 days, there will always be 4 Fridays and an additional day that may vary.
- Saturday: In a month with 31 days, there will always be 4 Saturdays and an additional day that may vary.
- Sunday: In a month with 31 days, there will always be 4 Sundays and an additional day that may vary.
Conclusion:
- Based on the analysis, every day of the week could appear five times in the month of March, as long as there are 31 days.
- Therefore, none of the given options (Thursday, Wednesday, Sunday, Saturday) could not appear in this month five times.
- The correct answer is option 'A' (Thursday).
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