To find out on what day of the week Rohan's birthday falls, we need to determine the day difference between April 14 and September 20 of the same year. We're given that 14th April is a Friday.
First, let's calculate the number of days from April 14 to September 20:
April has 30 days, so from April 14 to April 30, there are 16 days remaining in April.
May has 31 days.
June has 30 days.
July has 31 days.
August has 31 days.
For September, we need only up to the 20th, giving us 20 days.
Now, add these together to get the total number of days:
16 ( A p r i l ) + 31 ( M a y ) + 30 ( J u n e ) + 31 ( J u l y ) + 31 ( A ugu s t ) + 20 ( S e pt e mb er ) = 159
To determine the day of the week, we need to find the remainder of the total days when divided by 7, since a week has 7 days:
159 รท 7 = 22 , remainder 5
This remainder tells us that Rohan's birthday is 5 days after Friday.
Starting from Friday, 5 days later will be:
Saturday (1 day after Friday)
Sunday (2 days after Friday)
Monday (3 days after Friday)
Tuesday (4 days after Friday)
Wednesday (5 days after Friday)
Therefore, Rohan's birthday will fall on a Wednesday.
The correct option is d. Wednesday .