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Devansh\'s birthday is on Friday 14th April. On what day of the week will be Rohan\'s Birthday in the same year if Rohan was born on 20th September?OptionsTuesdayThursdayWednesdayFriday

Question

Devansh's birthday is on Friday 14th April. On what day of the week will be Rohan's Birthday in the same year if Rohan was born on 20th September?OptionsTuesdayThursdayWednesdayFriday

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Solution

To solve this problem, we need to calculate the number of days between the two dates and then determine the day of the week.

  1. First, we need to find out the number of days in each month. April has 30 days, May has 31 days, June has 30 days, July has 31 days, August has 31 days, and September has 30 days.

  2. Since Devansh's birthday is on April 14, there are 16 days left in April (30 - 14 = 16).

  3. Adding the days of May, June, July, August, and the 20 days of September, we get: 16 (April) + 31 (May) + 30 (June) + 31 (July) + 31 (August) + 20 (September) = 159 days.

  4. Now, we need to calculate the remainder when 159 is divided by 7 (since there are 7 days in a week). The remainder is 3.

  5. Since Devansh's birthday is on a Friday, we add 3 days to Friday. If we consider the days of the week as numbers (Monday=1, Tuesday=2, ..., Sunday=7), Friday is the 5th day. Adding 3 to 5, we get 8. But since our week only has 7 days, we subtract 7 from 8, which gives us 1.

  6. Therefore, the 1st day of the week is Monday. So, Rohan's birthday falls on a Monday. However, this option is not available in the given options. There might be a mistake in the question or the options provided.

This problem has been solved

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