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clocks Topic-wise Types, Definitions, Important fact & Techniques with Short Tricks & Tips useful for all competitive Examinations
Clocks: Verbal reasoning Meaning, Definitions & Shortcuts, Tricks & Tips PDF:
"A clock is a device which indicates & maintains the time." It is an electronic instrument that represents the duration of hour, minute, and second. The standard clock contains three hands i.e., namely a short hand that indicates hour (hour hand), a long hand that indicates minutes (minute hand) and a thin long hand that indicates seconds (second hand).
A clock has the unit of measurement which is, an hour has the time duration of 60 minutes or 3600 seconds. Learn complete concepts of "Clocks" and also learn all topics of Verbal reasoning. which is given under 4 types of sections useful for all kind of exams.
i.e., 1h = 60mins = 3600secs
Some more information's derived from the above form as,
|60 min||=||1 hour|
|30 min||=||Half an hour|
|15 min||=||Quater of an hour|
|1 min||=||60 s|
Similarly, the clock is also divided into degrees and angles. This is same as the previous hour, minute, second were made. Now,
The front part or dial of a clock is divided along the circumference into 12 equal parts called hour spaces and 60 equal parts called minute spaces and 360 equal parts called second spaces.
|Here, 60 minute spaces||=||360°|
|1 minute space||=||6°|
|Similarly, 12 hour space||=||360°|
|1 hour space||=||30°|
|Similarly, 60 second space||=||360°|
|1 second space||=||6°|
Minute and Second space is same because, 1 min has 60 unit secs, 1 hour has 60 unit mins. Here, 60 becomes the common value. Then, the angle of movement of hands will also be same.
Basic conceptual "Features & Functions" of a clock:
- A "clock" follows the principle of relative speed or speed with steps.
All the three hands (i.e. hour, minute, second hand) move in the same directions (hands starts to move from mid 12 to 1, 2, 3… finally to the same position 12) commonly known as clockwise directions. Similarly the hands rotate in opposite directions (hands start to move from mid 12 to 11, 10, 9, 8… finally to the same position 12) known as anti-clockwise directions.
The minute hand moves around the whole circumference of the clock once in 1 hour.
The hour hand moves around the whole circumference of the clock once in 12 hour. That shows minute hand is twelve times faster than the hour hand.
Therefore, Minute hand = 12 x Hour hand
The distance between two consecutive numbers in the clock is equal to 5 min.
As already we knew that in an hour, the hour hand crosses 5 minute spaces while the minute hand crosses 60 min spaces.
∴ In 60 min, the minute hand gains (60 - 5) = 55 min over hour hand
∴ 1 min is gained by minute hand over hour hand in $60/55=12/11min.$
Some "Important facts" to know about the Clock:
In every hour, both the hands coincide once.
The hands are in the same straight line, when they are coincident or opposite to each other.
When the two hands are at right angles (90°), they are 15 min space apart.
When the hands are in opposite directions or straight line, they are 30 min space apart (half-an-hour).
Angle traced by hour hand in 12 h = 360°
Angle traced by hour hand in 1 h = $360°/12=30°$
Angle traced by hour hand in 1 min = $30°/60=1°/2$
Angle traced by minute hand in 60 min = 360°
Angle traced by minute hand in 1 min = $360°/60=6°$
The angle between the minute hand and hour hand of a clock is,
$θ = |11/2\text"m"-30h|$
Where, h = hours and m = minutes
Both hands of a clock occur at right angle twice in one hour, 22 times in 12 h and 44 times in 24 h.
Both hands of a clock occur in a straight line or are opposite once in one hour, 11 times in 12 h and 22 times in 24 h.
If a watch or a clock indicates 3:30, when the correct time is 3, it is said to be 30 min fast. On the other hand, if it indicates 2:45, when the correct time is 3, it is said to be 15 min slow.
Different types of questions or problems based on "Clocks" which are asked in various examinations:
- Type 1: Angle between the Hands of Clock
- Type 2: Position of hands of clock
- Type 3: Faulty clocks
- Type 4: Time gained or lost by clock
- Type 5: Comparing Clocks
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