Step 1: Count the days from 15 August 2026 to 26 January 2027. Rest of August = 16 (to 31 Aug), September = 30, October = 31, November = 30, December = 31, January = 26. Step 2: Total days = 16 + 30 + 31 + 30 + 31 + 26 = 164 days. Step 3: Find odd days: 164 ÷ 7 = 23 weeks and 3 days left, so there are 3 odd days. Step 4: Saturday + 3 days = Sunday, Monday, Tuesday. So the day is Tuesday. Step 5: Check: 26 January 2027 (Republic Day) is indeed a Tuesday. Answer: Tuesday.