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Quiz: Clocks

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Number of Questions: 20

Question: 1 -

A watch which gains uniformly is 5 minutes slow at 6am on Monday and is 5 minutes 48 seconds fast at 6pm on the following Monday. When was it correct?

Options:

  1. 5:20 pm on Thursday

  2. 4:20 pm on Wednesday

  3. 5:20 pm on Wednesday

  4. 4:20 pm on Thursday

    5. Answer:

    5:20 pm on Thursday
    Solution:

    Time from 6am on Monday to 6pm on following Monday = 7 days and 12 hours, i.e. 24*7 + 12 = 180 hours

    So, the watch gains Apti Clocks62 minutes in 180 hours

    Now, Apti Clocks62 minutes are gained in 180 hours

    ∴ 5 minutes will be gained in Apti Clocks64 hours or 83 hours 20 minutes.

    83 hour 20 minutes = 3 days (72 hours) 11 hours 20 minutes

    Therefore, the watch was correct 3 days 11 hours 20 minutes after 6am on Monday, i.e. it was correct at 20 minutes past 5pm on Thursday.

Question: 2 -

A clock is set at 4am. It loses 16 minutes in 24 hours. What will be the correct time when the clock indicates 9pm on the 4th day?

Options:

  1. 11pm

  2. 8pm

  3. 7pm

  4. 10pm

    5. Answer:

    10pm
    Solution:

    Time from 4am on a day to 9pm on the 4th day = 89 hours

    As per the question, 23 hrs 44 minutes of this clock = 24 hours of the correct clock as this clock loses 16 minutes in 24 hours.

    23 hrs 44 minutes =Apti Clocks39

    Now, Apti Clocks40 Hrs of this clock = 24 hours of correct clock

    89 hours of this clock = Apti Clocks41 * 89 = 90 hours of the correct clock, i.e. the correct clock gains one hour over the incorrect clock.

    ∴The correct time on the fourth day would be 10pm.

Question: 3 -

The angle between the minute hand and the hour hand of a clock when the time is 8.30, is :

Options:

  1. 105o

  2. 60o

  3. 80o

  4. 75o

    5. Answer:

    75o
    Solution:

    Angle traced by hour hand in 17/12 hrs. = (360/12*17/12) = 255.

    Angle traced by min. hand in 30 min. = (360/60* 30)o = 180.

    Required angle = (255 - 180)o = 75o.

Question: 4 -

An accurate clock indicates 8 O' clock in the morning. Through how many degrees the hour hand turns when the clock indicates 3 O' clock in the afternoon?

Options:

  1. 190°

  2. 210°

  3. 200°

  4. 185°

    5. Answer:

    210°
    Solution:

    There are 7 hours between 8 O' clock in the morning and 3 O' clock in the afternoon.

    Now, angle traced by the hour hand in 12 hours = 360°

    ∴ Angle traced by the hour hand in 7 hours =Apti Clocks26

Question: 5 -

How many times the hands of a clock coincide in a day?

Options:

  1. 21

  2. 22

  3. 24

  4. 23

    5. Answer:

    22
    Solution:

    The hands of a clock coincide only once between 11 O' clock and 1 O' clock, so in every 12 hours, the hands of a clock will coincide for 11 times.

    ∴ In a day or 24 hours, the hands of a clock will coincide for 22 (11+11) times.