If Virat was born on Tuesday and Sania was born 23 days before Virat. ...
Difference between the number of days = 23
Remainder = 2 (Odd days)
Sunday comes 2 days before Tuesday.
Hence, Sania was born on Sunday.
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If Virat was born on Tuesday and Sania was born 23 days before Virat. ...
Explanation:
To determine the day on which Sania was born, we need to find the day of the week for Virat's birth and then subtract 23 days to find Sania's birth.
Step 1: Determine the day of the week for Virat's birth
To find the day of the week for Virat's birth, we can use the concept of the Gregorian calendar and the Zeller's Congruence algorithm.
Zeller's Congruence algorithm is given by the formula:
h = (q + [(13(m+1))/5] + K + [K/4] + [J/4] - 2J) mod 7
Where:
- h is the day of the week (0 = Saturday, 1 = Sunday, 2 = Monday, ..., 6 = Friday)
- q is the day of the month
- m is the month (3 = March, 4 = April, ..., 12 = December). January and February are counted as months 13 and 14 of the previous year.
- K is the year of the century (year % 100)
- J is the zero-based century (actually ⌊ year/100 ⌋)
Given that Virat was born on Tuesday, we can substitute h = 2 in the equation and solve for q, m, K, and J.
Step 2: Subtract 23 days to find Sania's birth
Since Sania was born 23 days before Virat, we need to subtract 23 from the day of the month of Virat's birth to find the day of the month for Sania's birth.
Step 3: Determine the day of the week for Sania's birth
Using the same Zeller's Congruence algorithm as in Step 1, but substituting the day of the month for Sania's birth, we can find the day of the week for Sania's birth.
Conclusion:
Based on the calculations, the correct answer is option 'A' - Sunday.
If Virat was born on Tuesday and Sania was born 23 days before Virat. ...
Sunday