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The day on 18.09.1977 was Sunday. A couple was married on this date. In the next 15 years, how many marriage anniversaries would fall on Sunday?
- a)1
- b)2
- c)5
- d)9
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The day on 18.09.1977 was Sunday. A couple was married on this date. ...
1977 is an ordinary year. We know that the calendar of an ordinary year repeats after 6 yrs or 11 yrs.
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Therefore,
Number of odd days from 18.09.1977 to 18.09.1983=7, i.e., 0 odd day
It means that in 1983, 18th September would fall on Sunday.
and number of odd days from 18.09.1977 to 18.09.1988 = 14, i.e., 0 odd days.
Now, it is clear that 2 marriage anniversaries would fall on Sunday in the next 15 yr.
Most Upvoted Answer
The day on 18.09.1977 was Sunday. A couple was married on this date. ...
Solution:
To find out how many marriage anniversaries would fall on Sunday in the next 15 years, we need to count the number of Sundays in the next 15 years and then see how many of them match the date of the couple's wedding anniversary.
Step 1: Find out the number of leap years in the next 15 years.
- There are 4 leap years in the next 15 years: 1980, 1984, 1988, and 1992.
Step 2: Find out the number of days in the next 15 years.
- There are 15 years x 365 days/year = 5475 days.
- There are 4 leap years x 1 extra day/leap year = 4 extra days.
- Therefore, there are 5475 + 4 = 5479 days in the next 15 years.
Step 3: Find out the number of Sundays in the next 15 years.
- There are 5479 ÷ 7 = 782 complete weeks in the next 15 years.
- There are 5479 mod 7 = 5 remaining days.
- Therefore, the next 15 years have 782 Sundays + 1 more Sunday for the remaining 5 days = 783 Sundays.
Step 4: Find out how many of these Sundays fall on the couple's wedding anniversary.
- The couple's wedding anniversary falls on 18th September every year.
- In the next 15 years, there are 15 wedding anniversaries: 18.09.1978, 18.09.1979, 18.09.1980, 18.09.1981, 18.09.1982, 18.09.1983, 18.09.1984, 18.09.1985, 18.09.1986, 18.09.1987, 18.09.1988, 18.09.1989, 18.09.1990, 18.09.1991, and 18.09.1992.
- Out of these 15 dates, only 2 fall on a Sunday: 18.09.1983 and 18.09.1988.
Therefore, the correct answer is option (B) 2.
To find out how many marriage anniversaries would fall on Sunday in the next 15 years, we need to count the number of Sundays in the next 15 years and then see how many of them match the date of the couple's wedding anniversary.
Step 1: Find out the number of leap years in the next 15 years.
- There are 4 leap years in the next 15 years: 1980, 1984, 1988, and 1992.
Step 2: Find out the number of days in the next 15 years.
- There are 15 years x 365 days/year = 5475 days.
- There are 4 leap years x 1 extra day/leap year = 4 extra days.
- Therefore, there are 5475 + 4 = 5479 days in the next 15 years.
Step 3: Find out the number of Sundays in the next 15 years.
- There are 5479 ÷ 7 = 782 complete weeks in the next 15 years.
- There are 5479 mod 7 = 5 remaining days.
- Therefore, the next 15 years have 782 Sundays + 1 more Sunday for the remaining 5 days = 783 Sundays.
Step 4: Find out how many of these Sundays fall on the couple's wedding anniversary.
- The couple's wedding anniversary falls on 18th September every year.
- In the next 15 years, there are 15 wedding anniversaries: 18.09.1978, 18.09.1979, 18.09.1980, 18.09.1981, 18.09.1982, 18.09.1983, 18.09.1984, 18.09.1985, 18.09.1986, 18.09.1987, 18.09.1988, 18.09.1989, 18.09.1990, 18.09.1991, and 18.09.1992.
- Out of these 15 dates, only 2 fall on a Sunday: 18.09.1983 and 18.09.1988.
Therefore, the correct answer is option (B) 2.
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The day on 18.09.1977 was Sunday. A couple was married on this date. In the next 15 years, how many marriage anniversaries would fall on Sunday?a)1b)2c)5d)9Correct answer is option 'B'. Can you explain this answer?
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