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Quiz: Clocks

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Number of Questions: 20

Question: 16 -

At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?

Options:

  1. 13 4/11 

  2. 16 4/11 

  3. 11 4/11 

  4. 15 4/11 

    5. Answer:

    16 4/11 
    Solution:

    At 3 o'clock, the minute hand is 15 min. spaces apart from the hour hand.
    To be coincident, it must gain 15 min. spaces.55 min. are gained in 60 min.
    15 min. are gained in
    = (60/55 x 15)min
    =16+4/11
    The hands are coincident at 16 + 4/11 min past 3

Question: 17 -

In 16 minutes, the minute hand gains over the hour hand by -

Options:

  1. 80 deg 

  2. 94 deg 

  3. 16 deg 

  4. 88 deg 

    5. Answer:

    88 deg 
    Solution:

    In one hour, the minute hand gains 330° over the hour hand. i.e., 60 minute, the minute hand gains 330° over the hour hand.

Question: 18 -

A watch gains 5 seconds in 3 minutes and was set right at 8 AM. What time will it show at 10 PM on the same day ?

Options:

  1. 10 : 23 : 20 PM 

  2. 9 : 45 : 15 PM 

  3.  8 : 51 : 04 AM 

  4. 10 : 27 : 41 AM 

    5. Answer:

    10 : 23 : 20 PM 
    Solution:

    The watch gains 5 seconds in 3 minutes = 100 seconds in 1 hour.

    From 8 AM to 10 PM on the same day, time passed is 14 hours.

    In 14 hours, the watch would have gained 1400 seconds or 23 minutes 20 seconds.

    So, when the correct time is 10 PM, the watch would show 10 : 23 : 20 PM

Question: 19 -

A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:

Options:

  1. 5pm 

  2. 6pm 

  3. 7pm

  4. 4pm 

    5. Answer:

    4pm 
    Solution:

    Time from 7 am to 4.15 pm  = 9 hrs 15 min = 37/4 hrs 3 min. 5 sec. of this clock = 3 min. of the correct clock. 

    Now 3min.5sec. is37/720 hrs of this clock = 3 min.is1/20 hrs of the correct clock 

    37/4 hrs of clock = (1/20×720/37×37/4) hrs of the correct clock = 9 hrs of the correct clock. 

     The correct time is 9 hrs after 7 am. i.e., 4 pm.

Question: 20 -

An accurate clock shows 7 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 3 o'clock in the afternoon?

Options:

  1. 150º 

  2. 168º 

  3. 180º

  4.  144º 

    5. Answer:

    180º
    Solution:

    Angle traced by the hour hand in 6 hours =360o/12×6 = 180o.