Q1.) What was the day of the week on 17 January 1883?

STEP 1 :

First of all substract 1 with the year

1883 - 1 = 1882

STEP 2 :

Divide the year with 400 to check the number of leap year

1882 / 400 = 282

STEP 3:

100 years = 5 odd days so

282 year & 1 Jan to 17 January 1883

2 * 100 = 2 * 5 = 10 odd day

STEP 4:

Now again check leap year

82 year = 82 / 4 = 20 leap year

and subtract the leap year with 82 to calculate ordinary year

82 year = 20 leap year + 62 odinary year

STEP 5:

As we know

1 leap year = 2 odd day

1 ordinary year = 1 odd day

20 * 2 + 62 * 1 = 102

Now divide the total days with 7 and reminder will be odd days

102 / 7 = 4 odd days

STEP 6:

1 Jan to 17 January 1883

Number of Days in 1883
Jan	16
Total No. of Days	16

STEP 7:

Now divide total numbers with 7 to calculate odd days

16 / 7 = 2 odd days

Now calculate total number of odd days

Total odd days = 10 + 4 + 2 = 16 odd days

STEP 8:

Now divide total odd days with 7 and remainder will be odd days

16 / 7 = 2 odd days

Now from above table 2th day of week Tuesday

On 17 January 1883 day will be Tuesday