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Clock questions are a very important component of competitive exams including TOFEL, RRB, MBA, Bank PO, and CA. These questions usually involve solving time-related problems, such as calculating the difference in time between two events, figuring out when two clock hands will coincide, and figuring out the speed or rate at which a clock is running. These problems usually require the application of fundamental algebraic and arithmetic concepts.
Examiners frequently use clock problems to assess a candidate’s aptitude for using logic to reason with numbers, speed, and accuracy in computations, and application of mathematical ideas to practical settings. When evaluating a candidate’s general quantitative aptitude and problem-solving abilities, they might be a helpful tool.
Table of Contents
Understanding Clock Questions
Clocks are an important component of logical thinking, which requires a thorough logical examination and a level of computation to answer the questions correctly. We provide you with a thorough understanding of clocks through this table:
| Topic | Description/Formula/Shortcut |
| Introduction of clock | 60-minute space = 360° = 1 hour1 minute = 6 degrees = 1 minute 6° x 5 = 30° = 5 minutes in a 5-minute space our hand speed = 0.5 DPM (degree per minute) Minute hand speed = 6 DPM At N o’clock, the angle of the hour hand from vertical is 30N or 30-minute intervals apart at a straight angle or straight line (180°) |
| Formulas for clock calculations | Hands coincide once per hour. Hands are 15-minute gaps apart at right angles Hands form a straight line when parallel or opposedHands are 30 minutes apart when facing each other Angle was drawn by minute hand in 60 minutes = 360° Angle drawn by hour hand in 12 hours = 360° The concept of the clock is fast or slow is based on deviation from the correct time The angle of the hour hand from vertical at ‘n’ o’clock is 30nHour hand covers 30° in one hour Minute hand covers 6° in one minute The angle between hour and minute hands when parallel or opposed is 0° The angle between hour and minute hands when facing each other is 180° |
| Important points and shortcuts | Hands coincide once per hour. Hands are 15-minute gaps apart at right angles Hands form a straight line when parallel or opposedHands are 30 minutes apart when facing each other Angle was drawn by minute hand in 60 minutes = 360° Angle drawn by hour hand in 12 hours = 360° |
| Concept of slow or fast clocks | Hands coincide once per hour. Hands are 15-minute gaps apart at right angles Hands form a straight line when parallel or opposedHands are 30 minutes apart when facing each other Angle was drawn by minute hand in 60 minutes = 360° Angle drawn by hour hand in 12 hours = 360° The concept of the clock is fast or slow is based on deviation from the correct time The angle of the hour hand from vertical at ‘n’ o’clock is 30nHour hand covers 30° in one hour |
| Concept of angles | The hour hand moves at 0.5 degrees per minute (DPM) in 12 hours Minute hand moves at 6 degrees per minute (DPM) in 60 minutes The angle of the hour hand from vertical at ‘n’ o’clock is 30n degrees. |
Must Read: Questions of Analogies Reasoning with Answers
Tips and Tricks to Solve Clock Questions
I hear you’ve got some clock questions to tackle! Here are some tips and tricks to make them a cakewalk:
1. Imagine the clock face like a pizza. Each hour number is a slice, and the minute hand travels around the whole pizza in 60 minutes (like one hour). The hour hand moves much slower, only taking one slice (one hour) to travel between numbers.
2. The minute hand moves a full circle (360 degrees) every hour. So, it moves 6 degrees every minute (360 degrees / 60 minutes). This can help you figure out where the minute hand will be for any number of minutes past the hour.
3. The hour hand also moves a tiny bit with the minutes. In one hour, the hour hand moves 30 degrees (360 degrees / 12 hours). So, for every 5 minutes, the hour hand moves 1 degree (30 degrees / 60 minutes). This might seem tricky, but for most clock questions, you can ignore this small movement of the hour hand.
4. This is a common question. Imagine the hands are like two arms on a clock body. To find the angle between them, subtract the smaller angle from the larger angle. There are 360 degrees in a circle, so be sure your answer doesn’t go over that.
5. The hour and minute hands overlap 22 times a day (twice at 12). For every hour except 12, they overlap once as the minute hand catches up.
Practice Clock Questions and Answers
What is the angle between the hour hand and the minute hand of a clock at 3:30?
A) 90 degrees
B) 105 degrees
C) 120 degrees
D) 135 degrees
Answer: B) 105 degrees
At what time between 2 and 3 o’clock will the hour hand and the minute hand be at right angles?
A) 2:15
B) 2:30
C) 2:45
D) 2:50
Answer: C) 2:45
If the time shown by the clock is 5:40, what is the acute angle between the hour hand and the minute hand?
A) 130 degrees
B) 140 degrees
C) 150 degrees
D) 160 degrees
Answer: A) 130 degrees
How many times do the hands of a clock form a right angle in a day?
A) 22
B) 24
C) 44
D) 48
Answer: C) 44
At what time between 4 and 5 o’clock will the hour hand and the minute hand coincide?
A) 4:12:27
B) 4:16:33
C) 4:21:49
D) 4:28:54
Answer: B) 4:16:33
If the time is 8:20, what is the reflex angle between the hour hand and the minute hand?
A) 110 degrees
B) 120 degrees
C) 130 degrees
D) 140 degrees
Answer: C) 130 degrees
At what time will the hour hand and the minute hand of the clock be perpendicular to each other?
A) 4:15
B) 4:30
C) 4:45
D) 5:00
Answer: C) 4:45
How many times do the hands of a clock overlap in a day?
A) 20
B) 21
C) 22
D) 23
Answer: B) 21
What is the angle between the hour hand and the minute hand of a clock when the time is 6:45?
A) 97.5 degrees
B) 105 degrees
C) 112.5 degrees
D) 120 degrees
Answer: C) 112.5 degrees
If the time is 10:15, what is the obtuse angle between the hour hand and the minute hand?
A) 67.5 degrees
B) 75 degrees
C) 82.5 degrees
D) 90 degrees
Answer: C) 82.5 degrees
At what time between 3 and 4 o’clock will the minute hand be 3 minutes spaces ahead of the hour hand?
A) 3:08:10
B) 3:14:32
C) 3:18:50
D) 3:23:05
Answer: C) 3:18:50
If the time is 9:40, what is the angle between the hour hand and the minute hand?
A) 130 degrees
B) 140 degrees
C) 150 degrees
D) 160 degrees
Answer: B) 140 degrees
At what time will the hands of the clock make an angle of 180 degrees?
A) 1:05
B) 2:10
C) 3:15
D) 4:20
Answer: B) 2:10
If the time is 7:30, what is the acute angle between the hour hand and the minute hand?
A) 105 degrees
B) 120 degrees
C) 135 degrees
D) 150 degrees
Answer: C) 135 degrees
How many times in a day, are the hands of a clock straight?
A) 20
B) 22
C) 24
D) 48
Answer: A) 20
At what time between 5 and 6 o’clock are the hands of the clock together?
A) 5:25
B) 5:28:16
C) 5:30
D) 5:35
Answer: B) 5:28:16
If the time is 10:30, what is the reflex angle between the hour hand and the minute hand?
A) 105 degrees
B) 120 degrees
C) 135 degrees
D) 150 degrees
Answer: D) 150 degrees
At what time between 7 and 8 o’clock will the hands of the clock be perpendicular to each other?
A) 7:06:22
B) 7:09:48
C) 7:14:55
D) 7:20
Answer: C) 7:14:55
Must Read: 20+ Questions of Cause and Effect Reasoning
How many times in a day, do the hands of a clock form a right angle?
A) 22
B) 24
C) 44
D) 48
Answer: C) 44
If the time is 11:20, what is the angle between the hour hand and the minute hand?
A) 110 degrees
B) 120 degrees
C) 130 degrees
D) 140 degrees
Answer: D) 140 degrees
At what time between 10 and 11 o’clock will the hands of the clock be in the same straight line?
A) 10:27:16
B) 10:30
C) 10:32:43
D) 10:35:09
Answer: A) 10:27:16
If the time is 12:20, what is the angle between the hour hand and the minute hand?
A) 100 degrees
B) 110 degrees
C) 120 degrees
D) 130 degrees
Answer: B) 110 degrees
At what time between 8 and 9 o’clock are the hands of the clock at right angles?
A) 8:15:27
B) 8:18:45
C) 8:22:10
D) 8:25
Answer: C) 8:22:10
If the time is 2:45, what is the angle between the hour hand and the minute hand?
A) 112.5 degrees
B) 117.5 degrees
C) 122.5 degrees
D) 127.5 degrees
Answer: D) 127.5 degrees
At what time will the hands of the clock make a right angle for the second time after 3 o’clock?
A) 3:11:02
B) 3:14:28
C) 3:19:36
D) 3:22:50
Answer: C) 3:19:36
If the time is 6:15, what is the obtuse angle between the hour hand and the minute hand?
A) 72.5 degrees
B) 77.5 degrees
C) 82.5 degrees
D) 87.5 degrees
Answer: D) 87.5 degrees
At what time between 11 and 12 o’clock will the hands of the clock make an angle of 90 degrees?
A) 11:05
B) 11:09:05
C) 11:15:27
D) 11:20:45
Answer: B) 11:09:05
If the time is 4:30, what is the angle between the hour hand and the minute hand?
A) 105 degrees
B) 120 degrees
C) 135 degrees
D) 150 degrees
Answer: C) 135 degrees
At what time between 1 and 2 o’clock are the hands of the clock in opposite directions?
A) 1:05:27
B) 1:10
C) 1:14:52
D) 1:20:18
Answer: A) 1:05:27
If the time is 9:25, what is the angle between the hour hand and the minute hand?
A) 115 degrees
B) 117.5 degrees
C) 120 degrees
D) 122.5 degrees
Answer: B) 117.5 degrees
FAQs
Types of clock questions include finding time intervals, angle between clock hands, and time gained or lost.
A clock answer typically refers to the solution or response to a question related to time measurement or clock hands’ positions.
The formula to calculate the angle between the hour hand and the minute hand of a clock is |(30 x H) – (11/2) x M|.
Basic clock knowledge includes understanding the concept of 12-hour and 24-hour time formats, clock hand movements, and time calculation.
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