Explanation:

⇒ 1600 years are divisible by 400, so the year 1600 has 0 odd days.

⇒ 300 years have 1 odd day.

⇒ 49 years = (12 leap years + 37 years)

= (12*2, odd days + 37*1, odd days)

= 24 + 37 = 61 odd days

On dividing 61 by 7, we get remainder 5, so 49 years have 5 odd days.

⇒From January 26, 1950, to January 26, 1950, we have 26 days.

26 days = 3 weeks + 5 odd days

So, total number of odd days = 1 + 5 + 5 = 11 days

⇒11 days = 1 week + 4 odd days

4 odd days represent Thursday, so it was Thursday on January 26, 1950.