Clock and Calendar — Mains Questions

Original written reasoning exercise: At 5:00, calculate the first subsequent time at which the two hands of an ideal twelve-hour clock coincide. Explain why dividing by the minute hand’s speed alone gives an incorrect answer.

Original written reasoning exercise: If 1 January of a hypothetical leap year is Tuesday, determine the weekday of 1 March. Explain how the result changes if the year is common instead.