Calendar Questions

• A clock is set right at 5:00 am and loses 16 minutes in every 24 hours. What is the true time when this slow clock indicates 10:00 pm on the 4th day?
• If a clock takes 22 seconds to strike 12 times (uniform intervals), how long will it take to strike 6 times?
• March 5, 1999 was a Friday. What day of the week was March 5, 2000?
• India’s first Republic Day was celebrated on January 26, 1950. What was the day of the week on that date?
• If the day after tomorrow is Sunday, then what day was “tomorrow’s day before yesterday”? (Assume standard consecutive days.)
• A watch gains 3 minutes in every 30 minutes (i.e., runs fast). It is set correctly at 5:00 am. After 6 true hours, what time will this watch show?
• Scheduled meeting time from relative earliness/lateness — Anuj arrived on Tuesday at 8:15 h (15 minutes before 8:30 h) and found himself 30 minutes earlier than a man who was 40 minutes late. What was the scheduled meeting time?
• Total buzzes made by a striking clock in 24 hours — A clock buzzes 1 time at 1 O’clock, 2 times at 2 O’clock, …, 12 times at 12 O’clock. How many total buzzes occur in a full day (24 hours)?
• Right angles of clock hands in 24 hours — How many times are a clock’s hour and minute hands at a right angle (90°) in one full day?
• Coincidences of clock hands in 24 hours — How many times do the hour and minute hands coincide (overlap) in a day?
• Opposite directions (“pointing towards each other”) in 24 hours — How many times do the hour and minute hands face each other (180° apart) in a day?
• Day-of-week arithmetic — If today is Thursday, what day will it be after 363 days?
• Day-of-week after a fixed span — Today is Monday. What day will it be after 61 days?
• Exact weekday after 84 days — If today is Wednesday, what day will it be after 84 days?
• Weekday after 59 days — Today is Thursday; what day will it be 59 days from today?
• Leap-year identification (Gregorian rules) — Which of the following listed years is not a leap year?
• First weekday of March in a leap year — If January 1 is a Friday in a leap year, what is the day on March 1 of that year?
• Bus interval reasoning — Buses leave every 30 minutes. An inquiry clerk says, “The last bus left 10 minutes ago and the next bus leaves at 9:35 am.” At what time did the clerk give this information?
• Layered relative days — “The day before the day before yesterday is three days after Saturday.” What day is it today?
• Exact angle between clock hands at 4:20 — Compute the smaller angle between the hour and minute hands at 4:20.