Determining data sufficiency for calculating a combined work rate
Question
The calendar for the year 2025 is same for
Options
2029
2030
2031
2033
Explanation
To find when a calendar repeats, track the accumulation of odd days (remainders modulo 7). A non-leap year has 1 odd day, while a leap year has 2 odd days. A calendar repeats when the total accumulated odd days hit a multiple of 7 and the target year matches the original year's type (ordinary vs. leap).
2025 is an ordinary year. Track from 2025 onwards:
The sum reaches 7 after 2030, meaning the next year, 2031, begins on the exact same day of the week[cite: 1640, 1641]. Since 2031 is also an ordinary year, the entire calendar matches perfectly.
Answer: (c).
Question details
Year
2024
Paper
CSAT
Question
Q38
Section
Data Interpretation & Sufficiency
Sub-topic
Time & Work
Type
Statement-based
Difficulty
Medium
Source hint
Data sufficiency evaluation
Same sub-topic — other years
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