Clocks Questions with Solutions

15 questions7 easy7 medium1 hard

Clock questions ask about the angle between the hour and minute hands at a given time, or the times at which the hands are together, opposite each other or at right angles. The key facts are that the minute hand moves 6 degrees per minute and the hour hand moves 0.5 degrees per minute, so the minute hand gains 5.5 degrees on the hour hand every minute. The angle between the hands at H hours and M minutes is |30H - 5.5M| degrees. In 12 hours, the hands coincide 11 times, are opposite 11 times, and are at right angles 22 times. The topic also covers faulty clocks that gain or lose time, and mirror images of clocks. Learning these few formulas turns most clock questions into short calculations. Practise the clock questions below, each with a step-by-step solution.

All Questions Easy Medium Hard

Q1.
A clock is set right at 8 a.m. The clock gains $10$ minutes in $24$ hours. What will be the correct time when the clock shows 1 p.m. on the next day?
A. 11:40 p.m.B. 12:48 p.m.C. 12 noonD. 10 p.m.
mediumAsked in NIMCET 2011View solution ›
Q2.
A watch which gains $10$ seconds in $5$ minutes was set correct at 9 a.m. When the watch indicated 20 minutes past 7 o'clock the same evening, the true time is
A. 7 p.m.B. 7.40 p.m.C. 7.10 p.m.D. 8 p.m.
mediumAsked in NIMCET 2008View solution ›
Q3.
A wall clock moves 10 minutes fast in every 24 hours. The clock was set right to show the correct time at 8:00 am on Monday. When the clock shows the time 6:00 pm on Wednesday, what is the correct time?
A. 5:24 pm on WednesdayB. 5:18 pm on WednesdayC. 5:36 pm on WednesdayD. 5:30 pm on Wednesday
mediumAsked in MAH LLB 3 Year CET 2026View solution ›
Q4.
My watch, which gains uniformly, is 2 minutes late at noon on Wednesday. It is 4 m 48 seconds fast at 2 PM on the following Wednesday. When was it correct?
A. 2 PM on TuesdayB. 2 PM on ThursdayC. 2 PM on FridayD. 2 PM on Wednesday
mediumAsked in MAH LLB 3 Year CET 2 April Shift-2 2026View solution ›
Q5.
At what time, in minutes, between 3 o'clock and 4 o'clock, will both the needles coincide with each other?
A. $5 \frac{1}{11}$ B. $12 \frac{4}{11}$ C. $13 \frac{4}{11}$ D. $16 \frac{4}{11}$
mediumAsked in NIMCET 2022View solution ›
Q6.
A clock is set right at 5 AM. The clock loses 16 minutes in 24 hours. What will be the true time when the clock indicates 10 PM on the 4th day?
A. 11.15 PMB. 11.00 PMC. 12.00 PMD. 12.30 PM
mediumAsked in NIMCET 2019View solution ›
Q7.
At what time between 2 pm and 3 pm will the hour and minute hands of a clock point in opposite directions (diametrically opposite)?
A. 2:45 pmB. 2:44 pmC. 2: $43 \frac{9}{11}$ pmD. 2: $43 \frac{7}{11}$ pm
mediumAsked in NIMCET 2024View solution ›