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The day on 18.09.1977 was Sunday. A couple was married on this date. In the next 15 years, there 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 day.
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. ...
Analysis:
The date 18.09.1977 was a Sunday. To find out how many marriage anniversaries in the next 15 years would fall on a Sunday, we need to consider the leap years and the specific day of the week the anniversary falls on each year.
Leap Years:
- Leap years occur every 4 years.
- The years 1980, 1984, 1988, 1992, and 1996 are leap years within the next 15 years.
Calculating Anniversaries:
- The couple was married on 18.09.1977.
- Their first anniversary would fall on 18.09.1978, which is a Monday.
- The second anniversary would be on 18.09.1979, which is a Tuesday.
- The third anniversary on 18.09.1980 (leap year) would be a Thursday.
- The fourth anniversary on 18.09.1981 is a Friday.
- The fifth anniversary on 18.09.1982 is a Saturday.
- The sixth anniversary on 18.09.1983 is a Sunday.
- The seventh anniversary on 18.09.1984 (leap year) would be a Tuesday.
- The eighth anniversary on 18.09.1985 is a Wednesday.
- The ninth anniversary on 18.09.1986 is a Thursday.
- The tenth anniversary on 18.09.1987 is a Friday.
- The eleventh anniversary on 18.09.1988 (leap year) would be a Sunday.
- The twelfth anniversary on 18.09.1989 is a Monday.
- The thirteenth anniversary on 18.09.1990 is a Tuesday.
- The fourteenth anniversary on 18.09.1991 is a Wednesday.
- The fifteenth anniversary on 18.09.1992 (leap year) would be a Friday.
Therefore, in the next 15 years, the marriage anniversaries that would fall on a Sunday are the 6th and 11th anniversaries. Hence, the correct answer is option B) 2.
The date 18.09.1977 was a Sunday. To find out how many marriage anniversaries in the next 15 years would fall on a Sunday, we need to consider the leap years and the specific day of the week the anniversary falls on each year.
Leap Years:
- Leap years occur every 4 years.
- The years 1980, 1984, 1988, 1992, and 1996 are leap years within the next 15 years.
Calculating Anniversaries:
- The couple was married on 18.09.1977.
- Their first anniversary would fall on 18.09.1978, which is a Monday.
- The second anniversary would be on 18.09.1979, which is a Tuesday.
- The third anniversary on 18.09.1980 (leap year) would be a Thursday.
- The fourth anniversary on 18.09.1981 is a Friday.
- The fifth anniversary on 18.09.1982 is a Saturday.
- The sixth anniversary on 18.09.1983 is a Sunday.
- The seventh anniversary on 18.09.1984 (leap year) would be a Tuesday.
- The eighth anniversary on 18.09.1985 is a Wednesday.
- The ninth anniversary on 18.09.1986 is a Thursday.
- The tenth anniversary on 18.09.1987 is a Friday.
- The eleventh anniversary on 18.09.1988 (leap year) would be a Sunday.
- The twelfth anniversary on 18.09.1989 is a Monday.
- The thirteenth anniversary on 18.09.1990 is a Tuesday.
- The fourteenth anniversary on 18.09.1991 is a Wednesday.
- The fifteenth anniversary on 18.09.1992 (leap year) would be a Friday.
Therefore, in the next 15 years, the marriage anniversaries that would fall on a Sunday are the 6th and 11th anniversaries. Hence, 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, there 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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