GATE 2026 IN GA Q.4: solution and answer

Official answer: DSource: Official answer key, GATE 2026 IN (IIT Guwahati)

1. Only the days of June and the first days of July lie between the two dates. June always has 30 days, and February (the only month a leap year changes) comes before 2 June, so it does not matter whether the year is a leap year.

2. Count the days from 2 June to 3 July: from 2 June to 30 June is $30-2=28$ days, and from 30 June to 3 July is $3$ more days, so the gap is $28+3=31$ days.

3. The day of the week repeats every 7 days, so only the remainder matters: $31=4\times 7+3$, which leaves $3$ extra days.

4. Move 3 days forward from Thursday: Thursday $\to$ Friday $\to$ Saturday $\to$ Sunday.

5. Check: 30 June is $28=4\times 7$ days after 2 June, so it is also a Thursday. Then 1 July is a Friday, 2 July a Saturday and 3 July a Sunday. The answer is (D) Sunday.