The question asks to find the day of the week for 6th June 2015, given that 3rd February 2015 was a Tuesday.
Calculate Total Days Between Dates
First, calculate the total number of days between 3rd February 2015 and 6th June 2015.
- The year 2015 is not a leap year, so February has 28 days.
- Days remaining in February: $28 - 3 = 25$ days.
- Days in March: 31 days.
- Days in April: 30 days.
- Days in May: 31 days.
- Days passed in June: 6 days.
- Total number of days = $25 (\text{Feb}) + 31 (\text{Mar}) + 30 (\text{Apr}) + 31 (\text{May}) + 6 (\text{Jun}) = 123$ days.
Determine Day of the Week
To find the day of the week, find the remainder when the total number of days is divided by 7.
- Divide the total days by 7: $123 \div 7$.
- Calculation: $123 = 7 \times 17 + 4$.
- The remainder is 4.
The starting day (3rd February 2015) was a Tuesday. Add the remainder (4 days) to find the final day:
- Tuesday + 1 day = Wednesday
- Tuesday + 2 days = Thursday
- Tuesday + 3 days = Friday
- Tuesday + 4 days = Saturday
Therefore, 6th June 2015 was a Saturday.
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