Today is Friday and date is 13th April, 2009. Find the total number of odd days till last Saturday.2
Question
Today is Friday and date is 13th April, 2009. Find the total number of odd days till last Saturday.2
Solution
Sure, let's calculate the total number of odd days till last Saturday, given that today is Friday and the date is 13th April, 2009.
Step 1: Determine the number of odd days in a normal year. In a normal year, there are 365 days. Since 365 is not divisible by 7, there is always 1 odd day in a normal year.
Step 2: Determine the number of odd days in a leap year. In a leap year, there are 366 days. Since 366 is divisible by 7, there are 2 odd days in a leap year.
Step 3: Calculate the number of odd days from 1st January, 2009, till 13th April, 2009. First, let's calculate the number of days from 1st January, 2009, till 31st March, 2009. January has 31 days, February has 28 days (since 2009 is not a leap year), and March has 31 days. So, the total number of days till 31st March is 31 + 28 + 31 = 90 days.
Now, let's calculate the number of days from 1st April, 2009, till 13th April, 2009. April has 13 days. So, the total number of days from 1st April till 13th April is 13 days.
Adding the number of days from 1st January till 31st March (90 days) and the number of days from 1st April till 13th April (13 days), we get a total of 90 + 13 = 103 days.
Step 4: Calculate the number of odd days from 1st January, 2009, till last Saturday. Since we know that today is Friday, we need to calculate the number of days from 1st January, 2009, till the previous Saturday.
To do this, we need to subtract the number of days from 1st January, 2009, till today (Friday) from the total number of days from 1st January, 2009, till last Saturday.
Since there are 7 days in a week, we can divide the total number of days (103) by 7 to get the remainder. The remainder will give us the number of odd days.
103 divided by 7 is 14 with a remainder of 5. So, there are 5 odd days from 1st January, 2009, till today (Friday).
Step 5: Calculate the total number of odd days till last Saturday. Since there are 5 odd days from 1st January, 2009, till today (Friday), we can subtract 5 from the total number of odd days in a week (7) to get the number of odd days till last Saturday.
7 - 5 = 2
Therefore, the total number of odd days till last Saturday is 2.
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