What was the day of the week on 2nd July, 1984 ?

2nd July, 1984 = ?

2nd July, 1984 means (1983 years 6 months and 2 days)

As we know total no of odd days in 400 year = 0 and 1600 = 0

1900 years have 1 odd day

Total odd days in 83 year = 83 + 20 (because 20 leap year in 83 year)

= 103 $$103\div 7 = 14$$ and 5 Remainder ​

Total no of odd days till 2nd July = 3 + 1 + 3 + 2 + 3 + 2 + 2 = 16 $$\div$$ 7 =  2 and 2 Remainder

Thus total no of odd days = 1 + 5 + 2 =  8 $$\div$$ 7 = 1 and Remainder is 1.

Thus, on 2nd July, 1984  will be Monday. 

Thus, the correct answer is (a).