Logical Reasoning
hardQ. No. 19660
Which is the first year after 1999 that has exactly the same calendar as 1999?
Last Updated:
A2000
B2001
C2002
D2010
Correct Answer: 2010Your Answer: D
Explanation
Correct answer: Option D — 2010. A reusable calendar requires the same weekday on 1 January and the same leap status. Checking successive years after 1999, the first year satisfying both conditions is 2010. Option A (2000) is rejected because it does not equal the computed result; it represents a counting, direction, leap-year, interval, or hand-motion error. Option B (2001) is rejected because it does not equal the computed result; it represents a counting, direction, leap-year, interval, or hand-motion error. Option C (2002) is rejected because it does not equal the computed result; it represents a counting, direction, leap-year, interval, or hand-motion error.
Important Notes
- Keep units consistent. Reduce day differences modulo 7; treat 12 on a clock as zero for angle work; and convert gained or lost minutes into the same time unit as the stated interval.
- Check boundary cases explicitly: February, century years, noon, midnight, and an angle greater than 180 degrees often change the apparent answer. A century is a leap year only when divisible by 400.
- Verify the result independently. For calendar problems, move forward or backward by the remainder after division by