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Quiz: Clocks

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Number of Questions: 20

Question: 11 -

Find the angle between the hour hand and the minute hand of a clock when the time is 3.25

Options:

  1. 47.5 degrees 

  2. 55.5 degrees 

  3. 57.5 degrees 

  4. 45.5 degrees 

    5. Answer:

    47.5 degrees 
    Solution:

    At 3 O'clock, Minute hand is at 12 while the Hour hand is at 3. Again the minute hand has to sweep through ( 30 x 5 ) ie 150° for reaching the figure 5 to show 25 mins. 

    Simultaneously the Hour hand will also rotate for 25 mins. Thus starting from the mark, 3 the hour hand will cover an angle = (25 x 30) / 60 = 12.5° 

    Hence, Angle between Hour and the Minute hand = ( 60 - 12.5 ) = 47.5°

Question: 12 -

At what time between 5 and 6 o' clock are the hands of a 3 minutes apart ?

Options:

  1. 24min

  2. 14min

  3. 12min 

  4. 13min

    5. Answer:

    24min
    Solution:

    In this type of problems the formuae is
    (5*x+ or - t)*12/11
    Here x is replaced by the first interval of given time. Here x is 5.
    t is spaces apart

      Case 1 : (5*x + t) * 12/11

     (5*5 + 3) * 12/11

     28 * 12/11 = 336/11 min

    therefore the hands will be 3 min apart at 31 5/11 min past 5.

    Case 2 : (5*x - t) * 12/11

    (5*5 -3 ) * 12/11

     22 *12/11 = 24 min 

     therefore the hands will be 3 min apart at 24 min past 5

Question: 13 -

At what time between 2 and 3 o'clock will the hands of a clock be together?

Options:

  1. (9 + 10/11) min past 2 

  2. (10 + 10/11) min past 2 

  3. (11 + 10/11) min past 2

  4. (12 + 10/11) min past 2 

    5. Answer:

    (10 + 10/11) min past 2 
    Solution:

    At 2 o'clock, the hour hand is at 2 and the minute hand is at 12, i.e. they are 10 min spaces apart. 

    To be together, the minute hand must gain 10 minutes over the hour hand. 

    Now, 55 minutes are gained by it in 60 min.

      10 minutes will be gained in (60/55)×10min. = 10+10/11 min. 

Question: 14 -

An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

Options:

  1. 360

  2. 60

  3. 180

  4. 90

    5. Answer:

    180
    Solution:

    Angle traced by the hour hand in 6 hours=(360/12)*6

Question: 15 -

A clock is set right at 5 a.m. The clock loses 16 minutes in 24 hours.What will be the true time when the clock indicates 10 p.m. on 4th day?

Options:

  1. 2pm 

  2. 11pm 

  3. 12pm 

  4. 1pm 

    5. Answer:

    11pm 
    Solution:

    Time from 5 am. on a day to 10 pm. on 4th day = 89 hours.

    Now 23 hrs 44 min. of this clock = 24 hours of correct clock.

    356/15 hrs of this clock = 24 hours of correct clock

    89 hrs of this clock = (24 x 31556 x 89) hrs of correct clock.

    = 90 hrs of correct clock.

    So, the correct time is 11 p.m.