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Ram celebrated his birthday on 3rd April 2000 on Monday. Next time in which year will he will celebrate his birthday on the same date and day?
- a)2004
- b)2006
- c)2008
- d)2010
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Ram celebrated his birthday on 3rd April 2000 on Monday. Next time in ...
Number of odd days in 2000 = 1 (As 1st April comes after February)
Number of odd days from 2000 till 2001 = 1 + 1 = 2
Number of odd days from 2000 till 2002 = 2 + 1 = 3
Number of odd days from 2000 till 2003 = 3 + 1 = 4
Number of odd days from 2000 till 2004 = 4 + 2 = 6
Number of odd days from 2000 till 2005 = 6 + 1 = 7 = 0 odd days
Hence, Ram’s birthday on 3rd April 2006 will be on Monday.
Most Upvoted Answer
Ram celebrated his birthday on 3rd April 2000 on Monday. Next time in ...
Answer:
To find out the next time Ram will celebrate his birthday on the same date and day, we need to determine the number of days in each year from 2000 until the next time his birthday falls on a Monday.
Counting the number of days:
To count the number of days, we can use the concept of leap years. A leap year occurs every 4 years, except for years that are divisible by 100 but not divisible by 400.
So, let's count the number of days from 2000 to the next time Ram's birthday falls on a Monday:
- 2000: 1 leap year (366 days)
- 2001: 365 days
- 2002: 365 days
- 2003: 365 days
- 2004: 1 leap year (366 days)
- 2005: 365 days
- 2006: 365 days
Finding the day of the week:
To find out the day of the week for a given date, we can use the concept of modulo 7.
Ram's birthday on 3rd April 2000 was on a Monday. Since there are 7 days in a week, we can represent each day as a number from 0 to 6, where 0 represents Sunday, 1 represents Monday, and so on.
- 3rd April 2000 (Monday): 1 (since Monday is represented as 1)
- 3rd April 2004 (Saturday): 5 (1 + 4 = 5)
- 3rd April 2006 (Monday): 1 (5 + 1 = 6, 6 modulo 7 = 1)
Explanation:
From the counting of days, we can see that Ram will celebrate his birthday on the same date and day in the year 2006. This is because the total number of days from 2000 to 2006 is divisible by 7, which means that the day of the week repeats after every 7 days.
Therefore, the correct answer is option 'B' - 2006.
To find out the next time Ram will celebrate his birthday on the same date and day, we need to determine the number of days in each year from 2000 until the next time his birthday falls on a Monday.
Counting the number of days:
To count the number of days, we can use the concept of leap years. A leap year occurs every 4 years, except for years that are divisible by 100 but not divisible by 400.
So, let's count the number of days from 2000 to the next time Ram's birthday falls on a Monday:
- 2000: 1 leap year (366 days)
- 2001: 365 days
- 2002: 365 days
- 2003: 365 days
- 2004: 1 leap year (366 days)
- 2005: 365 days
- 2006: 365 days
Finding the day of the week:
To find out the day of the week for a given date, we can use the concept of modulo 7.
Ram's birthday on 3rd April 2000 was on a Monday. Since there are 7 days in a week, we can represent each day as a number from 0 to 6, where 0 represents Sunday, 1 represents Monday, and so on.
- 3rd April 2000 (Monday): 1 (since Monday is represented as 1)
- 3rd April 2004 (Saturday): 5 (1 + 4 = 5)
- 3rd April 2006 (Monday): 1 (5 + 1 = 6, 6 modulo 7 = 1)
Explanation:
From the counting of days, we can see that Ram will celebrate his birthday on the same date and day in the year 2006. This is because the total number of days from 2000 to 2006 is divisible by 7, which means that the day of the week repeats after every 7 days.
Therefore, the correct answer is option 'B' - 2006.
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Ram celebrated his birthday on 3rd April 2000 on Monday. Next time in which year will he will celebrate his birthday on the same date and day?a)2004b)2006c)2008d)2010Correct answer is option 'B'. Can you explain this answer?
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