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Qlocks Questions Part-1

In a clock the most important hands are the minutes hand and the hours hand. Whatever may be the shape of the dial they move in a circular track.

The total angle of 360 degrees in a watch is divided into 1 sectors, one for each hour.

So one hour sector = 360 / 12 = 30 degrees.

For every one hour (60 min),

The minutes hand moves through 360 deg.
The hours hand moves through 30 deg.

So for every minute,

The minutes hand moves through 6 deg
The hours hand moves through 0.5 deg.

They move in same direction. So their relative displacement for every minute is 5.5 deg.

This 5.5 deg movement constitutes the movements of both the hands.

So for every minute both the hands give a displacement of 5.5 deg.

Note:

  1. Between every two hours i.e., between 1 and 2, 2 and 3 and so on the hands of the clock coincide with each other for one time except between 11, 12 and 12, 1.
In a day they coincide for 22 times.
  1. Between every two hours they are perpendicular to each other two times except between 2, 3 and 3, 4 and 8, 9 and 9, 10.
In a day they will be perpendicular for 44 times.
  1. Between every two hours they will be opposite to each other one time except between 5, 6 and 6, 7.
In a day they will be opposite

So no Examples:

  1. At what time between 5 and 6 will the hands of the clock coincide?

Soln:

At 5 the angle between the hands is 150 deg.

To coincide, they collectively have to travel this distance. Every minute they travel 5.5 deg.

So no. of minutes required to coincide = 150 / 5.5 = 300 / 11 = 27 3/11 min.

  1. At what time between 6 and 7 will the hands be perpendicular?

Soln:

. of minutes required = 90 / 5.5 = 180 / 11 = 16  4/11 min.

But they will be perpendicular for two times. The second one will happen after the minutes hand crosses the hours hand and then for 90 deg.

1.       At what time between 5 O’ clock and 6 O’ clock the hands of the clock will be at ?
1) 60 min                               2) 50 min               3) 40 min                               4) 30 min              
2.       A clock which gains 6 minutes every three hours is set at 1.00 P.M. on a certain day. Find the time shown by the watch on next day at 13:50 hours.
1) 15 hrs 21 min 40 s          2) 15 hrs 11 min 40 s          3) 15 hrs 41 min 40 sec      4) 15 hrs 31 min 40 sec
3.       A clock which loses 5 minutes in every hour is set at 10.30 A.M. on a certain day. Next day at 18.00 hours what is the time shown by this watch?
1) 15 hrs 12 min 30 s          2) 15 hrs 22 min 30 sec      3) 15 hrs 31 min 40 sec      4) 15 hrs 41 min 30 sec
4.       A clock, which loses 40 seconds every four minutes, is set at 18.00 hours on a certain day. What is the time shown by this watch if the current time is 4.00 P.M.?
1) 12:10 P.M.                       2) 11:10 P.M.                       3) 10:10 P.M.                       4) 9:10 P.M.
5.       A clock, which gains 6 minutes in every three hours, is set at 6 P.M. on a certain day. If on next day, the time shown by this watch is 11 P.M. what is the correct time?
1) 8 hrs 2 min (PM)             2) 8 hrs 4 min (PM)             3) 8 hrs 8 min (PM)             4) 8 hrs 6 min (PM)
6.       A clock, which loses 5 minutes in every two hours, is set at 9.00 A.M. on a certain day. Next day if the time shown by this watch is 11 P.M. what is the correct time?
1)  min                       2)  min                       3)  min                         4)  min
7.       How many times in a day the hands of a clock are straight?
1) 20                                       2) 22                                       3) 19                                       4) 18
8.       How many times do the hands of a clock point towards each other in a day?
1) 18                                       2) 19                                       3) 22                                       4) 20
9.       A clock which gains 5 minutes in every two hours is set at 12.00 P.M. on a certain day. Find the time shown by the watch on the next day 11 A.M.
1) 12 hrs 47 min 30 sec      2) 12 hrs 45 min 30 sec      3) 12 hrs 20 min 30 sec      4) 12 hrs 15 min 30 sec     
10.    A clock which loses 10 seconds in every minute is set at 2.00 P.M. on a certain day. Find the time shown by the watch on the next day 8 P.M.
1) 1 P.M.                                2) 2 P.M.                                3) 3 P.M.                                4) 4 P.M.               
  
11.    A clock which gains 5 minutes in every two hours is set at 12 noon on a certain day. If on the next day, the time shown by this watch is 1 P.M. then find the correct time.
1) 10 P.M.                             2) 12 P.M.                             3) 11 P.M.                             4) 8  P.M.              
12.    A clock, which loses 3 minutes in every hour, is set at 10.00 A.M. on a certain day. Next day if the time shown by this watch is 2.30 P.M. What is the correct time?
1)  min                      2)  min                      3)  min                      4)  min     

13.    How many times do the hands of a clock coincide in a day?
1) 22                                       2) 23                                       3) 24                                       4) 48
14.     How many times are the hands of a clock at right angles in a day?
1) 22                                       2) 48                                       3) 34                                       4) 46
15.    If a clock takes 22 seconds to strike 12, how much time will it take to strike 6?
1) 6 sec                                  2) 10 sec                                3) 8 sec                                  4) None
16.    At what angle the hands of a clock are inclined when the time is 15 minutes past five?
1)                               2)                                    3)                                    4) None
17.    At what time between 3 and 4 O’ clock are the hands of a clock together?
1) 18 min past 3                   2)  min past 8             3)  min past 3           4) None
18.    At what time between 8 and 9 O’ clock are the hands of a clock be in the straight line but not together?
1)  min past 3           2)  min past 8          3)  min past 8             4) None
19.    The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of correct time. How much in a day does the clock gain or lose?
1)  min                    2)  min                      3)  min                      4) None
20.    A watch gains uniformly, is 5 min slow at 8 O’ clock in the morning on a Monday, and is 5 min.48 seconds fast at 8 P.M. on following Monday. When was it correct?
1) 3 days 11 hours 20 min 2) 8 min                                 3) 6 days 10 hours                               4) None
21.    A clock is set right at 8 A.M. The clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1 P.M. on the following day?
1) 28 hours                            2) 28 hours 48 min              3) 30 hours                            4) None
22.    At what time between 7 A.M. and 7.30 A.M. will the two hands of a clock be at right angle to each other?
1) min past 7            2) min past 7               3) min past 7                           4) None
23.    At what time between 9 O’ clock and 10 O’ clock will the two hands of a clock be in a straight line but in opposite directions?
1) min past 9            2) min past 9               3) min past 9                            4) None
24.     A watch which gains uniformly is 6 minutes slow at  4 P.M. on a Sunday and  minutes fast on the following Sunday at 8 A.M. During this period when (Day and Time) was the watch correct?
1) 1.30 A.M., Tuesday        2) 1.36 P.M., Thursday       3) 1.36 A.M, Wednesday                   4) None
 1.       What is the angle between the hands of the clock at 2.45?
1)                                 2)             3)                             4)
2.       At clock find the angle between the hands of the clock.
1)                             2)             3)                             4)
3.       At what time between 6 O’ clock and 7 O’ clock the hands of the clock will coincide?
1)  min                       2)  min       3)  min                      4)  min     
4.       At what time between 6 O’ clock and 4 O’ clock the hands of the clock will be at right angles?
1)  min                       2)  min       3)  min                       4)  min      
5.       At what time between 1 O’ clock and 2 O’ clock the hands of the clock will be in opposite direction?
1)  min                       2)  min      3)  min                       4)  min       






































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