Q. If 15th May of 2024 was a Sunday, then which day of the week will fall on 26th January of 1994?
Q. If 15th May of 2024 was a Sunday, then which day of the week will fall on 26th January of 1994?
The correct option is B Friday
As we have to find the weekday of a backdate, assume 26th January, 1994 as any day apart from Sunday (the given day), say Monday, and then solve the question in the forward order. Now, 26th January, 1994 to 26th January, 2024, there are 30 years, and 30 is not a multiple of 4. Hence, the number of Leap Years in this duration will be: 1st Leap-year (1996) + remaining years (28years)/4=1+7=8 Leap-years. But we should not count 2024 as a Leap-year yet, as we are counting only till 26th January, and 29th February, 2024 is not included in this period. Hence, total Leap-years shall be 7. Total Odd-days =30years+7Leap−years=37=2 Odd-Days. So, 26th January, 2024 will be Monday +2= Wednesday. Now, the number of Odd-days in 2024 from 26th January to 15th May: (26th) Jan Feb Mar April May (15th) =5+1+3+4+1=14=0 O.D. So, 15th May, 2024= Wednesday (as per the assumption).
When 15th May, 2024 is a Wednesday, then 26th January, 1994 is a Monday, i.e. two days before Wednesday. Hence, when 15th May, 2024 is a Sunday, then 26th January, 1994 will be two days before Sunday, i.e. Friday.
As we have to find the weekday of a backdate, assume 26th January, 1994 as any day apart from Sunday (the given day), say Monday, and then solve the question in the forward order. Now, 26th January, 1994 to 26th January, 2024, there are 30 years, and 30 is not a multiple of 4. Hence, the number of Leap Years in this duration will be: 1st Leap-year (1996) + remaining years (28years)/4=1+7=8 Leap-years. But we should not count 2024 as a Leap-year yet, as we are counting only till 26th January, and 29th February, 2024 is not included in this period. Hence, total Leap-years shall be 7. Total Odd-days =30years+7Leap−years=37=2 Odd-Days. So, 26th January, 2024 will be Monday +2= Wednesday. Now, the number of Odd-days in 2024 from 26th January to 15th May: (26th) Jan Feb Mar April May (15th) =5+1+3+4+1=14=0 O.D. So, 15th May, 2024= Wednesday (as per the assumption).
When 15th May, 2024 is a Wednesday, then 26th January, 1994 is a Monday, i.e. two days before Wednesday. Hence, when 15th May, 2024 is a Sunday, then 26th January, 1994 will be two days before Sunday, i.e. Friday.
