Quantitative Aptitude

Clocks and Calendars

428 Questions
All Angle between hands 150 Clock gaining or losing time 132 Clock hands coincidence 69 Right angle times 30 Find time from angle 21 Decoding mixed date formats 7 Find day using reference date 6 Repeating same calendar 6 Date without reference day 3

Clocks and Calendars Questions

Multiple choice

At 15 minutes past 5, the angle between both the hands of a clock is

  1. 721/2o

  2. 671/2o

  3. 64o

  4. 581/2o
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

At 5:15, the hour hand is at 5 + 15/60 = 5.25 hours. Each hour represents 30 degrees, so the hour hand is at 5.25 * 30 = 157.5 degrees from 12. The minute hand is at 15 minutes, which is 15 * 6 = 90 degrees from 12. The angle between them is 157.5 - 90 = 67.5 degrees.

Multiple choice

The minor angle between the hours hand and minutes hand of a clock was observed at 8:48 am. The minimum duration, in minutes, after 8:48 am when this angle increases by 50% is

  1. 36 11

  2. 24 11

  3. 2

  4. 4
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

At 8:48, the hour hand is at 8 + 48/60 = 8.8 hours (264 degrees) and the minute hand is at 48 minutes (288 degrees). The minor angle is 24 degrees. We need the time when the angle becomes 36 degrees. Solving the relative speed equation (5.5 degrees/min) for the change in angle shows the duration is 24/11 minutes.