Reasoning: Calendars MCQ - Practice Questions with Answers

A normal year is a leap year if it is divisible by 4, but a century year must be divisible by 400. The year 2100 is divisible by 100 but not by 400, so it is not a leap year. The year 2400 is divisible by 400, so it is a leap year. The year 2026 is not divisible by 4, so it is not a leap year. The year 2028 is divisible by 4, so it is a leap year. The leap years are 2400 and 2028.

From 1 March to 10 March, the gap is 9 days. Since 9 leaves remainder 2 on division by 7, Sunday moves to Tuesday. For 18 March, the gap is 17 days; 17 leaves remainder 3, so Sunday moves to Wednesday. For 27 March, the gap is 26 days; 26 leaves remainder 5, so Sunday moves to Friday. The matching set is 10 March-Tuesday, 18 March-Wednesday and 27 March-Friday.

In a leap year, February has 29 days. From 1 January to 1 April, the completed month lengths are January 31, February 29, and March 31. Their total is 31 + 29 + 31 = 91 days. Since 91 = 13 x 7, the gap is exactly 13 complete weeks. After a whole number of weeks, the weekday repeats. Therefore, 1 January and 1 April fall on the same weekday in a leap year. The Reason is true and it correctly explains the Assertion.

From 1 January 2024 to 29 February 2024, count the completed days after 1 January: 30 days remaining in January plus 29 days of February = 59 days. Now 59 divided by 7 leaves a remainder of 3. So the weekday moves 3 days forward from Monday: Tuesday, Wednesday, Thursday. Hence 29 February 2024 was a Thursday. The statement in option A is the only correct one.

Start with 1 March 2023 as Wednesday. For 15 March, the gap is 14 days, and 14 gives 0 odd days, so it is also Wednesday: I-2. For 1 April, March has 31 days, so the gap is 31 days; 31 leaves 3 odd days, and Wednesday plus 3 gives Saturday: II-3. From 1 April to 30 April, the gap is 29 days; 29 leaves 1 odd day, so Saturday becomes Sunday: III-1. Hence the matching is I-2, II-3, III-1.