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The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:
- a)00
- b)100
- c)50
- d)200
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The angle between the minute hand and the hour hand of a clock when th...
The angle between hour and minute hand in 4:20 is 10 degrees.
For a minute, the hour hand rotates by 30/60 = 1/2 degrees.
hence, for 20 minutes it rotates by an angle of 20*1/2 = 10 degrees.
For a minute, the hour hand rotates by 30/60 = 1/2 degrees.
hence, for 20 minutes it rotates by an angle of 20*1/2 = 10 degrees.
Most Upvoted Answer
The angle between the minute hand and the hour hand of a clock when th...
Problem: The angle between the minute hand and the hour hand of a clock when the time is 4.20 is:
a) 00
b) 100
c) 50
d) 200
Solution:
To solve this problem, we need to find the angle between the minute hand and the hour hand of a clock at 4:20.
Calculating the positions of the hour and minute hands:
We know that a clock completes a full circle in 12 hours or 360 degrees. Therefore, in 1 hour, the hour hand moves 30 degrees (360/12). In 1 minute, the hour hand moves 0.5 degrees (30/60).
In 4 hours, the hour hand would have moved:
4 hours × 30 degrees/hour = 120 degrees
In 20 minutes, the hour hand would have moved:
20 minutes × 0.5 degrees/minute = 10 degrees
So, at 4:20, the hour hand is at the position 120 degrees + 10 degrees = 130 degrees.
The minute hand moves 360 degrees in 60 minutes, so in 1 minute, it moves 6 degrees (360/60).
In 20 minutes, the minute hand would have moved:
20 minutes × 6 degrees/minute = 120 degrees
So, at 4:20, the minute hand is at the position 120 degrees.
Calculating the angle between the hour and minute hand:
To calculate the angle between the hour and minute hand, we need to find the difference between their positions.
Angle = |Position of the hour hand - Position of the minute hand|
Angle = |130 degrees - 120 degrees|
Angle = 10 degrees
Therefore, the angle between the minute hand and the hour hand at 4:20 is 10 degrees.
Conclusion:
The correct answer is option b) 100.
a) 00
b) 100
c) 50
d) 200
Solution:
To solve this problem, we need to find the angle between the minute hand and the hour hand of a clock at 4:20.
Calculating the positions of the hour and minute hands:
We know that a clock completes a full circle in 12 hours or 360 degrees. Therefore, in 1 hour, the hour hand moves 30 degrees (360/12). In 1 minute, the hour hand moves 0.5 degrees (30/60).
In 4 hours, the hour hand would have moved:
4 hours × 30 degrees/hour = 120 degrees
In 20 minutes, the hour hand would have moved:
20 minutes × 0.5 degrees/minute = 10 degrees
So, at 4:20, the hour hand is at the position 120 degrees + 10 degrees = 130 degrees.
The minute hand moves 360 degrees in 60 minutes, so in 1 minute, it moves 6 degrees (360/60).
In 20 minutes, the minute hand would have moved:
20 minutes × 6 degrees/minute = 120 degrees
So, at 4:20, the minute hand is at the position 120 degrees.
Calculating the angle between the hour and minute hand:
To calculate the angle between the hour and minute hand, we need to find the difference between their positions.
Angle = |Position of the hour hand - Position of the minute hand|
Angle = |130 degrees - 120 degrees|
Angle = 10 degrees
Therefore, the angle between the minute hand and the hour hand at 4:20 is 10 degrees.
Conclusion:
The correct answer is option b) 100.
Community Answer
The angle between the minute hand and the hour hand of a clock when th...
(11*20-60*4)/2= 10
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The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:a)00b)100c)50d)200Correct answer is option 'B'. Can you explain this answer?
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The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:a)00b)100c)50d)200Correct answer is option 'B'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:a)00b)100c)50d)200Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:a)00b)100c)50d)200Correct answer is option 'B'. Can you explain this answer?.
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