Clock Study Materials for Competitive Exam Preparation

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Clock MCQ & Objective Questions

The topic of "Clock" is crucial for students preparing for various school and competitive exams. Understanding how to solve problems related to clocks can significantly enhance your performance in MCQs and objective questions. Practicing these questions not only helps in grasping the concepts but also boosts your confidence during exam preparation.

What You Will Practise Here

Understanding the basic concepts of time and clocks
Calculating angles between clock hands
Determining the time from given angles
Solving problems related to time intervals
Identifying the time taken for clock hands to meet
Exploring various types of clock-related problems
Reviewing important formulas and definitions related to clocks

Exam Relevance

The topic of clocks frequently appears in CBSE, State Boards, and competitive exams like NEET and JEE. Students can expect questions that test their understanding of time calculations, angles, and the movement of clock hands. Common question patterns include finding the angle between the hands at a specific time or determining the time based on given angles, making it essential to master this topic for better exam performance.

Common Mistakes Students Make

Confusing the hour and minute hand movements
Miscalculating angles due to incorrect time interpretation
Overlooking the concept of time intervals
Failing to apply the correct formulas in problem-solving

FAQs

Question: What is the formula to calculate the angle between the hour and minute hand?
Answer: The angle can be calculated using the formula: Angle = |(30*hour - (11/2)*minutes)|.

Question: How often do the hands of a clock overlap?
Answer: The hands of a clock overlap 11 times in 12 hours.

Now that you understand the significance of the "Clock" topic, it’s time to put your knowledge to the test! Solve practice MCQs and important Clock questions for exams to solidify your understanding and excel in your studies.

Q. A clock gains 5 minutes every hour. If it shows 10:00 AM now, what will be the actual time when it shows 12:00 PM?

A. 11:30 AM
B. 11:50 AM
C. 12:10 PM
D. 12:20 PM

Solution

In 2 hours, the clock will gain 10 minutes (5 minutes/hour * 2 hours). So, when the clock shows 12:00 PM, the actual time will be 12:00 PM - 10 minutes = 11:50 AM.

Correct Answer: B — 11:50 AM

Q. A clock shows 3:15. What is the angle between the hour and minute hands?

A. 45 degrees
B. 90 degrees
C. 135 degrees
D. 75 degrees

Solution

At 3:15, the hour hand is at 97.5 degrees (3*30 + 15*0.5) and the minute hand is at 90 degrees. The angle between them is |97.5 - 90| = 7.5 degrees.

Correct Answer: D — 75 degrees

Q. A clock shows 8:00. What will be the angle between the hour and minute hands at 8:30?

A. 180 degrees
B. 165 degrees
C. 150 degrees
D. 135 degrees

Solution

At 8:30, the hour hand is at 255 degrees (8 * 30 + 30 * 0.5) and the minute hand is at 180 degrees (30 * 6). The angle between them is |255 - 180| = 75 degrees.

Correct Answer: B — 165 degrees

Q. At what time between 2:00 and 3:00 do the hands of the clock overlap?

A. 2:30
B. 2:15
C. 2:45
D. 2:20

Solution

The hands overlap at approximately 2:10 and 10/11 minutes.

Correct Answer: B — 2:15

Q. At what time between 2:00 and 3:00 will the hands of a clock be at right angles?

A. 2:15
B. 2:30
C. 2:45
D. 2:20

Solution

The hands of a clock are at right angles at approximately 2:45.

Correct Answer: C — 2:45

Q. At what time between 3:00 and 4:00 will the hands of a clock be at right angles?

A. 3:15
B. 3:30
C. 3:45
D. 3:50

Solution

The hands of a clock are at right angles at 3:15 and 3:45. The first occurrence is at 3:15.

Correct Answer: C — 3:45

Q. At what time between 4:00 and 5:00 will the hands of a clock be at right angles?

A. 4:15
B. 4:30
C. 4:45
D. 4:20

Solution

The hands of the clock are at right angles at approximately 4:20.

Correct Answer: D — 4:20

Q. At what time will the hands of a clock be at right angles after 2:00?

A. 2:15
B. 2:30
C. 2:45
D. 2:10

Solution

The hands of a clock are at right angles at 2:30.

Correct Answer: B — 2:30

Q. At what time will the hands of a clock be in a straight line after 3:00?

A. 3:15
B. 3:30
C. 3:45
D. 3:10

Solution

The hands of the clock will be in a straight line at approximately 3:10.

Correct Answer: D — 3:10

Q. How many degrees does the hour hand move in 1 hour?

A. 30 degrees
B. 60 degrees
C. 15 degrees
D. 45 degrees

Solution

The hour hand moves 30 degrees in 1 hour (360 degrees / 12 hours).

Correct Answer: A — 30 degrees

Q. How many degrees does the hour hand move in one hour?

A. 30 degrees
B. 60 degrees
C. 15 degrees
D. 45 degrees

Solution

The hour hand moves 30 degrees in one hour (360 degrees / 12 hours).

Correct Answer: A — 30 degrees

Q. How many degrees does the minute hand move in 15 minutes?

A. 90 degrees
B. 75 degrees
C. 60 degrees
D. 45 degrees

Solution

The minute hand moves 6 degrees per minute. In 15 minutes, it moves 15 * 6 = 90 degrees.

Correct Answer: A — 90 degrees

Q. How many degrees does the minute hand move in 20 minutes?

A. 120 degrees
B. 90 degrees
C. 60 degrees
D. 180 degrees

Solution

The minute hand moves 6 degrees per minute. In 20 minutes, it moves 20 * 6 = 120 degrees.

Correct Answer: A — 120 degrees

Q. How many times do the hands of a clock overlap in a 12-hour period?

A. 10 times
B. 11 times
C. 12 times
D. 9 times

Solution

The hands of a clock overlap 11 times in a 12-hour period.

Correct Answer: B — 11 times

Q. How many times in a day do the hour and minute hands of a clock overlap?

A. 22 times
B. 24 times
C. 20 times
D. 12 times

Solution

The hour and minute hands overlap 22 times in a 12-hour period, so in a day (24 hours), they overlap 22 times.

Correct Answer: A — 22 times

Q. If a clock is 10 minutes fast, what time will it show when the actual time is 2:00 PM?

A. 1:50 PM
B. 2:10 PM
C. 2:00 PM
D. 1:40 PM

Solution

If the clock is 10 minutes fast, it will show 2:10 PM when the actual time is 2:00 PM.

Correct Answer: B — 2:10 PM

Q. If a clock is 10 minutes fast, what will be the time shown on the clock when the actual time is 2:00 PM?

A. 1:50 PM
B. 2:10 PM
C. 2:00 PM
D. 1:40 PM

Solution

If the actual time is 2:00 PM and the clock is 10 minutes fast, it will show 2:10 PM.

Correct Answer: B — 2:10 PM

Q. If a clock is set 10 minutes fast, what will be the actual time when it shows 5:50?

A. 5:40
B. 5:50
C. 6:00
D. 5:30

Solution

If the clock is 10 minutes fast, when it shows 5:50, the actual time is 5:50 - 10 minutes = 5:40.

Correct Answer: A — 5:40

Q. If a clock is set 10 minutes fast, what will be the actual time when it shows 5:00?

A. 4:50
B. 5:10
C. 5:00
D. 4:40

Solution

If the clock shows 5:00 and is 10 minutes fast, the actual time is 5:00 - 10 minutes = 4:50.

Correct Answer: A — 4:50

Q. If a clock loses 2 minutes every hour, how much time will it show after 5 hours if it started at 12:00?

A. 4:00
B. 4:10
C. 4:20
D. 4:30

Solution

In 5 hours, the clock will lose 10 minutes (2 minutes/hour * 5 hours). So, it will show 12:00 - 10 minutes = 11:50.

Correct Answer: B — 4:10

Q. If a clock shows 10:10, what is the angle between the hour and minute hand?

A. 35 degrees
B. 50 degrees
C. 60 degrees
D. 75 degrees

Solution

At 10:10, the hour hand is at 85 degrees (10 hours * 30 degrees + 10 minutes * 0.5 degrees) and the minute hand is at 60 degrees (10 minutes * 6 degrees). The angle between them is |85 - 60| = 25 degrees.

Correct Answer: D — 75 degrees

Q. If a clock shows 10:10, what is the angle between the hour and minute hands?

A. 65 degrees
B. 75 degrees
C. 85 degrees
D. 90 degrees

Solution

At 10:10, the hour hand is at 85 degrees (10*30 + 10*0.5) and the minute hand is at 60 degrees. The angle between them is |85 - 60| = 25 degrees.

Correct Answer: B — 75 degrees

Q. If a clock shows 12:00, how many times will the minute hand overlap the hour hand in 12 hours?

A. 10
B. 11
C. 12
D. 9

Solution

In 12 hours, the minute hand overlaps the hour hand 11 times.

Correct Answer: B — 11

Q. If a clock shows 12:45, what is the angle between the hour and minute hands?

A. 135 degrees
B. 150 degrees
C. 165 degrees
D. 180 degrees

Solution

At 12:45, the hour hand is at 337.5 degrees (12 * 30 + 45 * 0.5) and the minute hand is at 270 degrees (45 * 6). The angle between them is |337.5 - 270| = 67.5 degrees.

Correct Answer: C — 165 degrees

Q. If a clock shows 3:15, what is the angle between the hour and the minute hand?

A. 7.5 degrees
B. 22.5 degrees
C. 45 degrees
D. 52.5 degrees

Solution

At 3:15, the hour hand is at 97.5 degrees (3 hours * 30 + 15 minutes * 0.5) and the minute hand is at 90 degrees (15 minutes * 6). The angle between them is |97.5 - 90| = 7.5 degrees.

Correct Answer: D — 52.5 degrees

Q. If a clock shows 4:20, what is the angle between the hour and minute hand?

A. 120 degrees
B. 130 degrees
C. 140 degrees
D. 150 degrees

Solution

At 4:20, the hour hand is at 130 degrees (4 hours * 30 degrees + 20 minutes * 0.5 degrees) and the minute hand is at 120 degrees (20 minutes * 6 degrees). The angle between them is |130 - 120| = 10 degrees.

Correct Answer: B — 130 degrees

Q. If a clock shows 4:20, what is the angle between the hour and minute hands?

A. 120 degrees
B. 130 degrees
C. 140 degrees
D. 150 degrees

Solution

At 4:20, the hour hand is at 130 degrees (4*30 + 20*0.5) and the minute hand is at 120 degrees (20*6). The angle between them is |130 - 120| = 10 degrees.

Correct Answer: B — 130 degrees

Q. If a clock shows 5:00, what is the angle between the hour and minute hand?

A. 150 degrees
B. 180 degrees
C. 120 degrees
D. 90 degrees

Solution

At 5:00, the hour hand is at 150 degrees (5 hours * 30 degrees) and the minute hand is at 0 degrees. The angle between them is |150 - 0| = 150 degrees.

Correct Answer: A — 150 degrees

Q. If a clock shows 5:00, what is the angle between the hour and minute hands?

A. 150 degrees
B. 180 degrees
C. 90 degrees
D. 120 degrees

Solution

At 5:00, the hour hand is at 150 degrees (5*30) and the minute hand is at 0 degrees (0*6). The angle between them is |150 - 0| = 150 degrees.

Correct Answer: A — 150 degrees

Q. If a clock shows 6:00, what is the angle between the hour and minute hands?

A. 180 degrees
B. 90 degrees
C. 360 degrees
D. 270 degrees

Solution

At 6:00, the hour hand is at 180 degrees and the minute hand is at 0 degrees. The angle between them is |180 - 0| = 180 degrees.

Correct Answer: A — 180 degrees

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