A clock is an instrument used for indicating and maintaining the time. It is an electronic device that presents the duration of an hour, minute, and second. Different types of questions that are being asked from the Clock reasoning section are angle between hands of the clock, the position of hands of clock, faulty clock, and so on.

Before going into the details candidates should know the basic things about the clock. A clock is a complete circle having 360 degrees where 1 hour is equivalent t60 minutes, 1 minute is equivalent to 60 seconds, and 1 hour is equivalent to 3600 seconds. There are a total of 3 hands in a clock and these are hour, minute, and second hand respectively. Details regarding the same are given below.

Hour Hand | 12 hours = 3601 hour = 301 Minute = 0.5 |

Minute Hand | 60 minutes = 3601 minute = 6 |

Second Hand | 60 Seconds = 3601 Second = 6 |

**Types of Clock Reasoning **

As now we know what consists of the questions related to the Clock reasoning section. Let us see the various types of clock reasoning one by one from below.

**1. Angle Based Clock **

In this type of question, a particular time is given and candidates need to find out the angle between the hour hand and the minute hand at that particular time. For solving these types of questions, a candidate is required to have a basic knowledge about the angles traced by the different hands in a clock.

**2. Reflection of Clock**

In this type of questions, candidates will be asked problems based on the mirror or water image of a clock.

**3. Defective Clock**

A clock which shows incorrect time is a faulty or defective clock. Candidates will be questioned based on the same. For example, if a clock indicates 4 hours 10 minutes when the correct time is 4, then the clock is gaining, whereas if it indicates 4:40 when the correct time is 5, then the clock is losing.

**How to Solve Clock Reasoning Questions – Know all Tips and Tricks **

Candidates can find various tips and clock reasoning tricks from below for solving the questions related to this section.

**Tip # 1: **To solve the questions related to the angle between hands of a clock the formula for the same will be **160H – (11M/2) = ****θ****I.** Where H denotes the hour, M represents minute and Theta (**θ) **represents the angle between the hand of a clock.

**Tip # 2: **Coincide means 0 angle between 2 hands or when the hands are together. There is one coincide per hour except 11 to 1 AM/PM. Therefore, there are 11 coincides in 12 hours and 22 coincides in a 24 hours clock. The first coincide is at 12 AM then the next coincide happens at 1:05 AM.

**Tip # 3: **For solving the clock reasoning questions related to the mirror image, if it is a 12 hours clock then candidates need to subtract the given time from 11:60 hours, whereas if it is a 24 hours clock, then candidates need to subtract the given time from 23:60 hours.

**Tip # 4: **For solving the questions related to the water image, if the minute is less than 30, then candidates need to subtract the given time from 18:30 hours, whereas if it is more than 30, then candidates need to subtract the given time from 18:90 hours. Test Series

**Sample Clock Reasoning Questions **

**Question 1: **At what time between 5 to 6 O’clock will the hands of a clock point coincide with each other?

**Solution: **As you know, the angle between the hour hand and minutes hand is 0.

H = 5 and angle is 0 degree

0 = 30 x 5 – 11 M/2

150 = 11 M/2

300 = 11M

M = 27(3/11) Minutes

Therefore, the correct response for this question is 27(3/11) Minutes past to 7.

**Question 2: **What will be the angle between the hour and minute hands of the clock at 7:30?

**Solution: **Angle at 7:30 is: I60H – (11M / 2) = θI

(60 x 7 – 11 x 30) / 2 = θ

420 – 330 / 2 = θ

θ = 90 / 2 = 45 degree

**Question 3: **If it is 5:40 in the 12 hours clock then what will be the time in the mirror?

**Solution: **For every mirror image based on a clock if it is a 12 hours clock, then candidates need to subtract the given timing from 11:60 hours, whereas if it is a 24 hours clock then candidates need to subtract the given time from 23:60 hours. Hence, we get 11:60 – 5:40 = 6:20 as it is a 12 hours clock.

**Question 4: **If the water image of the clock shows 3 hours 25 minutes, then what will be the actual time?

**Solution: **For every water image based on the clock reasoning section if the minute is less than 30 then candidates need to subtract the given time from 18:30 hours, whereas if it is more than 30 then candidates need to subtract the given time from 18:90 hours. Hence, 18:30 – 3:25 = 15:03 or 3 hours 5 minute (as the minutes are less than 30)

**Question 5: **The clock was set on Thursday, at 4 AM. If the clock gains 20 minute per hour, then what will be the time that the clock shows on Friday, 8:30 PM?

**Solution: **The clock was set on Thursday, at 4 AM. So if we calculate the time from Thursday, 4 AM to Friday, 8:30 PM then it will be 40 hours 30 minutes. As mentioned in the question, the clock gains 20 minutes per hour. So, the clock will get 810 minutes in 40 hours 30 minutes. Hence, the clock will show the time 8:30 PM + 810 minutes = 10 AM of Saturday on Friday, 8: 30 PM.

**Question 6:** A watch gains 4 seconds in 3 minutes and was set right at 8 AM. What time will it show at 10 PM on the same day?

**Solution: **The watch gains 5 seconds in 3 minutes so it will be 100 seconds in 1 hour. From 8 AM to 10 PM on the same day, the total time passed is 14 hours. Hence, in 14 hours the clock would have gained 1400 seconds or 23 minutes 20 seconds. So, when the correct time is 10 PM, the watch would show 10 hours 23 minutes 20 seconds per minute.