CAPF AC 2025 Q65: General Mental Ability – Logical Reasoning & Puzzles

CAPF AC 2025, Paper I (General Ability and Intelligence) · General Mental Ability

1. (a) 2028
2. (b) 2029
3. (c) 2030
4. (d) 2031

Answer: (d) 2031

Explanation

Calendar of 2025 repeated

How to think: a year repeats the calendar of an earlier year when the number of odd days adds up to a multiple of 7 and the leap-year type is the same.

A normal year shifts the calendar by 1 day, a leap year by 2 days.

After 2030 the shift reaches 7, so 2031 begins on the same weekday as 2025 (Wednesday), and 2031 is a normal year like 2025.

Bank key corrected: the stored key was (c) 2030; the right answer is (d) 2031.

Answer: (d) 2031.

Why each option is right or wrong

• (a) Incorrect. 2028 is a leap year, so its calendar cannot match 2025.
• (b) Incorrect. 2029 starts on a Monday, two days after Wednesday.
• (c) Incorrect. 2030 starts on a Tuesday, one day before 2031.
• (d) CORRECT. 2031 starts on the same weekday as 2025 and is also a normal year.

Key point

Calendar repeat: normal year = 1 odd day, leap year = 2 odd days; need total of 7 and same leap type. 2025 to 2031 gives 1+1+1+2+1+1 = 7. 2025 and 2031 both begin on Wednesday.

Remember

Normal year +1, leap year +2; add to 7 and match type: 2025 repeats in 2031.

Common mistakes

• Ignoring the leap year 2028 and counting each year as one odd day.
• Choosing 2030 because 5 years look like the usual repeat gap.
• Forgetting that the repeating year must have the same leap type.

Exam tip

Educated guess: the first leap year in between (2028) is a trap, so 2028 and 2029 are out. A repeat after 6 years (2031) is the usual pattern for a normal year when a leap year falls in between.

Sources

• R. S. Aggarwal, Quantitative Aptitude for Competitive Examinations, chapter on Calendar (odd days and repeating calendars)
• Abhijit Guha, Quantitative Aptitude for Competitive Examinations (Tata McGraw-Hill), chapter on Calendar

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