Question

In the year 1648. if feb had 5 sundays ,then what was the day on 13 feb 1750

Answer 1

The day on 13 Feb 1750 is Friday

Answer 2

The day on 13 February, 1750 was the day on Tuesday.

Step-by-step explanation:

Given,

In the year 1648, February = 5 Sundays

To find ,the day on 13 February, 1750 = ?

1648, $\dfrac{1648}{4}=412,$ exactly divisible by 4.

1646 is a leap year, total number of days in leap year = 366 and

Number of days on February Month = 29

In the year 1648, February = 5 Sundays

Only possible if the 1st February on Sunday. Otherwise, it is not possible.

To Find number of odd days =  1st February , 1648 to 13 February, 1750

= (366 - 31) + 365 + (31 + 13)

= 335 + 365 + 44

= 744

= 106 × 7 + 2

Total number of odd days = 2

The day on 13 February, 1750 = Sunday + 2 days

= Tuesday

Hence, the day on 13 February, 1750 was the day on Tuesday.