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?