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 doctor said to his compounder, 'I go to see the patients at their residence after every 3 hours 30 minutes. I have already gone to the patient 1 hour 20 minutes ago and next time I shall go at 1:40 P.M.' At what time was this information given to the compounder by the doctor?
A. 11.30 A.M.B. 11.20 A.M.C. 10.10 A.M.D. None of these
easyAsked in NIMCET 2013View solution ›
Q2.
What is the angle between the hour hand and the minute hand of a clock at 4:20?
A. $0^{\circ}$ B. $5^{\circ}$ C. $10^{\circ}$ D. $20^{\circ}$
easyView solution ›
Q3.
It was 9.35 AM in Garvita’s watch, which kept correct time, when Manya informed her that the last bus left the bus stop at 9.25 am. Manya’s watch is 5 min fast. The frequency of the bus is every 20 min. For how long Garvita must wait to catch the next bus?
A. 5 minB. 10 minC. 15 minD. 20 min
easyAsked in NIMCET 2020View solution ›
Q4.
How many times in a day are the hands of a clock pointing opposite to each other?
A. 4B. 20C. 22D. 24
easyAsked in NIMCET 2021View solution ›
Q5.
A watch which gains 10 s in 5 min was set correct at 9.00 am. When the watch indicated 20 min past 7.00 pm in the same evening, the correct time is
A. 7.00 pmB. 7.40 pmC. 7.10 pmD. 8.00 pm
easyAsked in NIMCET 2014View solution ›
Q6.
How many times do the hour and the minute hands of a clock overlap in 24 hours?
A. 24B. 22C. 26D. 20
easyAsked in NIMCET 2015View solution ›
Q7.
At what time, in minutes, between 3 o'clock and 4 o'clock, will both the hands of a clock coincide with each other?
A. $5 \frac{1}{11}$ min past 3B. $12 \frac{4}{11}$ min past 3C. $13 \frac{4}{11}$ min past 3D. $16 \frac{4}{11}$ min past 3
easyAsked in NIMCET 2018View solution ›