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Clock Puzzles

A Clock is a circle that is divided into 60 minute spaces. The minute hand in a clock takes 60 minutes in order to cover these minute spaces whereas the hour hand takes 12 hours to go through all these.

For every hour or 60 minutes, the hour hand of a clock completes 5 minute spaces. At the same time, the minute hand completes one full rotation round the clock passing through all 60 minute spaces. So, the minute hand gains 55 minutes over the hour hand in a time period of 1 hour.

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Anonymous
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Anonymous
Asked: September 11, 2021Category: Clock Puzzles

A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:

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  1. Mighty Ashish Guru
    Added an answer on September 11, 2021 at 7:31 pm

    Explanation: Angle traced by hour hand in 12 hrs = 360º. Angle traced by hour hand in 5 hrs 10 min. i.e., 31/6 hrs = (360/12*31/6)∘ = 155º

    Explanation:

    Angle traced by hour hand in 12 hrs = 360º.

    Angle traced by hour hand in 5 hrs 10 min. i.e., 31/6 hrs = (360/12*31/6)∘

    = 155º

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Anonymous
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Anonymous
Asked: September 3, 2021Category: Clock Puzzles

At 3.40, the hour hand and the minute hand of a clock form an angle of:

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  1. Mighty Ashish Guru
    Added an answer on September 3, 2021 at 3:34 am

    Explanation: Angle traced by hour hand in 12 hrs. = 360º. Angle traced by it in 11/3 hrs= (360/12*11/3)∘=110∘ Angle traced by minute hand in 60 min. = 360º. Angle traced by it in 40 min. =(360/60*40)°=240° Required angle (240 - 110)º = 130º.

    Explanation:

    Angle traced by hour hand in 12 hrs. = 360º.

    Angle traced by it in 11/3 hrs= (360/12*11/3)∘=110∘

    Angle traced by minute hand in 60 min. = 360º.

    Angle traced by it in 40 min. =(360/60*40)°=240°

    Required angle (240 – 110)º = 130º.

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Anonymous
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Anonymous
Asked: August 18, 2021Category: Clock Puzzles

A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?

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  1. Mighty Ashish Guru
    Added an answer on August 18, 2021 at 1:14 am

    Explanation:  Time from 12 p.m. on Monday to 2 p.m. on the following Monday = 7 days 2 hours = 170 hours. The Watch gains (2+4  4/5)min.  or 34/5 min.in 170 hrs. Now,  34/5min.are gained in 170 hrs. 2 min.are gained in(170*5/34*2) hrs=50 hrs Watch is correct 2 days 2 hrs. after 12 p.m. on Monday i.eRead more

    Explanation:

     Time from 12 p.m. on Monday to 2 p.m. on the following Monday = 7 days 2 hours = 170 hours.

    The Watch gains (2+4  4/5)min.  or 34/5 min.in 170 hrs.

    Now,  34/5min.are gained in 170 hrs.

    2 min.are gained in(170*5/34*2) hrs=50 hrs

    Watch is correct 2 days 2 hrs. after 12 p.m. on Monday i.e., it will be correct at 2 p.m. on Wednesday

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Anonymous
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Anonymous
Asked: August 8, 2021Category: Clock Puzzles

Calculate the angle between the two hands of clock when the clock shows 4 : 20 p.m. ?

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  1. Mighty Ashish Guru
    Added an answer on August 8, 2021 at 8:18 pm

    Explanation: Since at 4 : 20 the minute hand will be at 4 and the angle between them will be same as the distance covered in degree by the hour hand in 20 minutes. Required angle = distance of hour hand = speed × time = 1/2 × 20 =10 degrees.

    Explanation:

    Since at 4 : 20 the minute hand will be at 4 and the angle between them will be same as the distance covered in degree by the hour hand in 20 minutes.

    Required angle = distance of hour hand = speed × time = 1/2

    × 20 =10 degrees.

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Anonymous
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Anonymous
Asked: August 1, 2021Category: Clock Puzzles

How many times in a day, are the hands of a clock in straight line but opposite in direction?

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  1. Mighty Ashish Guru
    Added an answer on August 1, 2021 at 8:11 pm

    Explanation: The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clcok only). So, in a day, the hands point in the opposite directions 22 times.

    Explanation:

    The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o’clcok only).

    So, in a day, the hands point in the opposite directions 22 times.

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aalan
Eve
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EveBeginner
Asked: December 22, 2020Category: Clock Puzzles

When the hands are in the opposite directions, they are _____ minute spaces apart ?

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  1. Expert Verified
    CrazyMan Guru
    Added an answer on December 22, 2020 at 11:37 am

    When the hands are in the opposite directions, they are 30 minute spaces apart.

    When the hands are in the opposite directions, they are 30 minute spaces apart.

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Eve
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EveBeginner
Asked: December 22, 2020Category: Clock Puzzles

The angle between the minute hand and the hour hand of a clock when the time is 4.15 is ?

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  1. Expert Verified
    CrazyMan Guru
    Added an answer on December 22, 2020 at 11:32 am

    FORMULA A = 30H - (11/2)M In this formula, A is the required angle; H is the initial position of the Hour Hand; M is the minutes. Now, substitute the given values - A = 30 x 4 - (11/2) x 15 A = 120 - 165/2 A = (240 - 165)/2 A = 75/2 A = 37.5 degrees. The angle between the minute hand and the hour haRead more

    FORMULA

    A = 30H – (11/2)M

    In this formula, A is the required angle; H is the initial position of the Hour Hand; M is the minutes. Now, substitute the given values –

    A = 30 x 4 – (11/2) x 15

    A = 120 – 165/2

    A = (240 – 165)/2

    A = 75/2

    A = 37.5 degrees.

    The angle between the minute hand and the hour hand of a clock when the time is 4:15 is 37.5 degrees.

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Eve
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EveBeginner
Asked: December 22, 2020Category: Clock Puzzles

What is the ratio of 18 minutes to one hour ?

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  1. Expert Verified
    CrazyMan Guru
    Added an answer on December 22, 2020 at 11:24 am

    The ratio of 18 minutes to one hour is 18 min : 60 min = 18/60 = 3/10

    The ratio of 18 minutes to one hour is 18 min : 60 min = 18/60 = 3/10

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Eve
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EveBeginner
Asked: December 22, 2020Category: Clock Puzzles, Puzzles

The angle between the minute hand and the hour hand of a clock when the time is 4:20, is ?

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  1. Expert Verified
    CrazyMan Guru
    Added an answer on December 22, 2020 at 11:18 am

    FORMULA Required Angle, A = 30H - (11/2)M Here, H is the initial position of the Hour Hand M is the minutes A = 30 x 4 - (11/2) x 20 A = 120 - 110 A = 10 Hence, the angle between the minute hand and the hour hand of a clock when the time is 4 hours 20 minutes is 10 degrees.

    FORMULA

    Required Angle, A = 30H – (11/2)M

    Here,

    H is the initial position of the Hour Hand

    M is the minutes

    A = 30 x 4 – (11/2) x 20

    A = 120 – 110

    A = 10

    Hence, the angle between the minute hand and the hour hand of a clock when the time is 4 hours 20 minutes is 10 degrees.

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Eve
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EveBeginner
Asked: December 22, 2020Category: Clock Puzzles

At 6′o clock a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12′o clock ?

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  1. Expert Verified
    CrazyMan Guru
    Added an answer on December 22, 2020 at 11:01 am
    This answer was edited.

    As the clock ticks 6 times at 6 o'clock in 30 seconds, the number of intervals involved = time taken/times = 30/6 = 5 intervals. If it ticks 6 times at 6 o'clock, then the clock ticks 12 times at 12 o'clock. Then, the number of intervals involved are 11. 5 intervals are covered in 30 seconds. So, 1Read more

    As the clock ticks 6 times at 6 o’clock in 30 seconds, the number of intervals involved = time taken/times = 30/6 = 5 intervals.

    If it ticks 6 times at 6 o’clock, then the clock ticks 12 times at 12 o’clock. Then, the number of intervals involved are 11.

    5 intervals are covered in 30 seconds. So, 1 interval = 30/5 = 6 seconds.

    Hence, 11 intervals = 11 x 6 = 66 seconds.

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