## Best explanation to understand and solve the clock problems.

In this section we have the aptitude test based on the topic CLOCK. Since everyone knows about clock and its functioning this aptitude will be very easy to solve.

This is one of the important topics that are asked in many bank exams and competitive exams.

As this topic is very easy, it will help to boost up your score. Also solving these problems need some practice and a good understanding capacity.

There are some important formulas to solve the problems based on clock.

### What is a clock?

A clock is an electronic device or instrument that work with the help of batteries.

This is used to measure the current time.

It has hands on a round dial that helps to indicate the hours, minutes and sometimes seconds.

What is called minute space or minute division?

The circumference of the circular dial of the clock are divided into sixty equal division.

These division are known as minute space or minute division.

What are the two clock hand?

The two clock hands of a clock are

1. Hour hand
2. Minute hand.

There is one more hand in some clock which is called second’s hand. This helps to measure the seconds.

What is the function of hands in clock?

The hands inside the clock move around the dial to indicate the current time.

The hour hand is smaller and slower than the minute hand.

The hour hand shows the time in hours and the minute hand shows the time in minutes.

### What are the important points to solve the clock aptitude?

Here are some important points to remember before solving the clock aptitude.

1. The hour hand covers the circumference of the clock in twelve hours, so the angle traced by the hour hand in twelve hours is 360°. So, the speed of the hour hand is 0.5° per minute.

2. The minute hand covers the circumference of the clock in one hour, so the angle traced by minute hand in one hour (60 minutes) is 360°. So, the speed of the minute hand is 6° per minute.

3. In every hour, the hour hand and minute hand coincide once, i.e. if both the hands start from the same position, they will coincide after 65 minutes 5/11seconds. In this position, they are 0° apart.

Note :

1. The hands of a clock coincide only once between 11 O’ clock and 1 O’ clock, so they coincide 11 times in 12 hours and 22 times in 24 hours or one day.
2. The clock is too fast if the hands of the clock coincide in less than 65 minutes 5/11 seconds
3. The clock is too slow if the hands of the clock take more than 65 minutes 5/11 seconds to coincide.
4. In every hour, the hands of the clock are straight and point in opposite directions once. In this position, they are thirty minute divisions apart.

Note :

1. In 12 hours, the hands are straight and in opposite direction 11 times, that is between 5 and 7, they will be straight and in opposite direction only once at 6 O’ clock.
2. In 12 hours, the hands are in a straight line 22 times including both the positions, that is when they coincide and when they are in opposite directions.

5.  In every hour, the hands are twice at the right angle and they are 15 minute divisions apart in this position.

6. If a clock indicates 6:30, when the correct time is 6:00, it is said to be 30 minutes too fast. And, if it indicates 5:30, when the correct time is 6:00, it is said to be 30 minutes too slow.

### What are some quick methods to solve clock aptitude?

Here are some quick methods to solve the clock problems easily.

1. Angle between the hands of a clock at X hours Y minutes:

To find the angle, consider time from 12 O’ clock when the hands of a clock are together.

Now, the total time from 12 O’ clock to X hour Y minutes = (60X + Y) minutes

Angle traced by hour hand in (60X + Y) minutes = 60 (X + Y) / 2 degree

Angle moved by minute hand is 6 Y (from 12 O’ clock position)

Therefore angle between the hands = 6Y – 60 ( X + Y)/2

= (11Y – 60X) / 2

2. When the minute hand is behind the hour hand, the angle between the hands of a clock at ‘M’ minutes past ‘H’ O’ clock is given by

= 30 [H – (M/5)] + M/2 degree

3. When the minute hand is ahead of the hour hand, the angle between the hands of a clock at ‘M’ minutes past ‘H’ O’ clock is given by

= 30 [H + (M/5)] – M/2 degree.

These are the important concepts of clock aptitude. This will be really easy when you have good practice and a little thinking capacity. Also it will be a good score booster in your examination.

We also have a set of aptitude questions based ‘clock’. Take up the test and expand your skills and what more, score high in your exams.
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