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A clock is started at noon. By 10 minutes past 5, the hour hand has turned through
- a)155°
- b)145°
- c)152°
- d)140°
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A clock is started at noon. By 10 minutes past 5, the hour hand has tu...
We know that angle traced by hour hand in 12 hrs = 360°
Time duration from noon to 10 minutes past 5
= 5 hours 10 minutes
Hence the angle traced by hour hand from noon to 10 minutes past 5
Most Upvoted Answer
A clock is started at noon. By 10 minutes past 5, the hour hand has tu...
°
b)160°
c)165°
d)170°
Answer: c)165°
Explanation:
In 5 hours and 10 minutes, the hour hand moves 5/12th of a full circle (since it takes 12 hours for the hour hand to complete a full circle).
5/12th of a full circle is equal to (5/12) x 360 degrees = 150 degrees.
In addition, the hour hand also moves a certain distance based on the minutes elapsed.
In 10 minutes, the hour hand moves (10/60) x 30 degrees = 5 degrees.
Therefore, the total angle moved by the hour hand between noon and 5:10 pm is 150 + 5 = 155 degrees.
So the correct answer is (c) 165°.
b)160°
c)165°
d)170°
Answer: c)165°
Explanation:
In 5 hours and 10 minutes, the hour hand moves 5/12th of a full circle (since it takes 12 hours for the hour hand to complete a full circle).
5/12th of a full circle is equal to (5/12) x 360 degrees = 150 degrees.
In addition, the hour hand also moves a certain distance based on the minutes elapsed.
In 10 minutes, the hour hand moves (10/60) x 30 degrees = 5 degrees.
Therefore, the total angle moved by the hour hand between noon and 5:10 pm is 150 + 5 = 155 degrees.
So the correct answer is (c) 165°.
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A clock is started at noon. By 10 minutes past 5, the hour hand has turned througha)155°b)145°c)152°d)140°Correct answer is option 'A'. Can you explain this answer?
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