Clocks: Angles Between the Hour and Minute Hands Quiz — 5 Free Questions

📖 Read the passage, then answer the questions below

A wall clock in Rohan's study shows the time as 3:40. Rohan is curious about the angles formed between the clock's hour and minute hands at this and several other times throughout the day, and works these out using the standard rule that the minute hand moves 6 degrees per minute, measured from the 12 o'clock position, while the hour hand moves 0.5 degrees per minute, also measured from the 12 o'clock position.

Separately, Rohan has also noticed that the hour and minute hands of a clock coincide, pointing in exactly the same direction, at certain repeating intervals throughout each 12-hour period, and he wants to work out exactly how often this happens and at what specific times, using the same movement rules for both hands.

Question 1

How many degrees does the hour hand move in one full hour?

Question 2

What is the reflex angle between the hands at 9:00?

Question 3

What is the angle between the two hands at 7:15?

Question 4

How many times do the hour and minute hands coincide in a 12-hour period?

Question 5

Consider the following three statements: I. The angle between the hands at 3:40 is 130 degrees. II. The hands coincide exactly 11 times in a 12-hour period. III. The angle between the hands at 9:00 is greater than the angle at 4:00. Which of the statements is/are true?

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About Clocks: Angles Between the Hour and Minute Hands

CLAT's Quantitative Techniques section pairs a short data-rich scenario with several straightforward numeric questions -- here, clock angles applied to a single invented set of times on a standard clock face, so every answer can be worked out from the figures given, without any outside knowledge.

This quiz is built around one clock: the standard rule that the minute hand moves 6 degrees every minute and the hour hand moves 0.5 degrees every minute, applied to several different times of day, fully worked out up front. Every question below is answered using those same rules -- nothing new is introduced question to question.

The twenty-four questions move through the kind of angles CLAT actually tests: individual hand positions, the angle between the hands at a given time, reflex angles, how often the hands coincide, and a multi-statement combination question.

Only five of the twenty-four questions are shown on any single attempt, so replaying this quiz brings a genuinely different mix of times and angles rather than the same five memorised by rote.