Calendar Questions

• Compute the elapsed time from 6:14 a.m. to 8:02 p.m. on the same day. Express your answer in hours and minutes.
• At what time between 3 o’clock and 4 o’clock will the hour and minute hands meet (be exactly together)?
• A year is a leap year if it is divisible by 4 (and for century years, divisible by 400). By which of the following numbers must a leap year be divisible?
• Which of the following is a leap year under the Gregorian rule (divisible by 4 except century years must be divisible by 400)?
• A clock is started at 6 o’clock in the morning. Through how many degrees will the hour hand rotate by the time the clock shows 11 o’clock the same morning?
• In an accurate clock, how many degrees does the minute hand move in a period of 2 hours 20 minutes?
• The mirror (reflection) of a clock shows 3 hours 45 minutes. What is the actual time shown by the clock?
• A temple bell rings every 45 minutes at regular intervals. The last bell rang 5 minutes ago, and the next bell is due at 7:45 a.m. At what time did the priest give this information to the devotee?
• How many times in a 24-hour day are the hour and minute hands of a clock at right angles (i.e., 90° apart)?
• If the first day of June is a Saturday, on which date does the last Saturday of that June fall? (Assume June has 30 days.)
• At what exact time between 1 o’clock and 2 o’clock are the hour and minute hands together (coincident)?
• A correct clock has its hands coincide every 65 5/11 minutes (720/11 minutes). If a watch has its hands coincide every 64 minutes (true time), how much does this watch gain or lose per day?
• Calendar basics — Find the last day (weekday) of the year 2006. (Use Gregorian calendar rules; 2006 is not a leap year.)
• Clock angles — Between 5:00 and 5:30, at what exact time are the hands 5 minute-spaces apart (i.e., 30 degrees apart)?
• Elapsed time — From 6:14 a.m. to 8:02 p.m. on the same day, how many hours and minutes elapse?
• Leap-year rule — A (Gregorian) leap year must be divisible by which number (with century exceptions handled separately)?
• Identify the leap year among the following (Gregorian rules apply).
• Day arithmetic — If today is Monday, what day is it 64 days from now?
• Clock problem — Between 3:00 and 4:00, at what exact time are the hour and minute hands together?
• A faulty clock's hands coincide every 64 minutes. How much time does it gain or lose in one true day?