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Read the passage given below and solve the questions based on it There are 8 days in a week from Sunday io Saturday and another day called Fund ay on planet North. There are 36 h in a day and each hour has 90 min while each minute has 60 s.
Q.
Find the approximate angle between the hands of a clock on North when the time is 16.50 am?
- a)189
- b)131
- c)320
- d)165
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Read the passage given below and solve the questions based on it There...
Method to Solve :
36hrs a day mane the clk will b of 18hrs.
18hrs covers 360 deg
Thus 1hr covers 20 deg
12 hrs covers 12*20=240 deg
1 hr in 90min
Thus in 90 min the hour hand goes 20 deg
For 1min hr hand goes 2/9deg
For 40 min hour goes (2/9)*40 deg=80/9 deg=9 deg (approx)
thus hr hand covers total of 240+9=249 deg
now min hand covers=40*4=160 deg
(90min=360deg
1min=4deg)
Thus angle between them 249-160 = 89 deg
18hrs covers 360 deg
Thus 1hr covers 20 deg
12 hrs covers 12*20=240 deg
1 hr in 90min
Thus in 90 min the hour hand goes 20 deg
For 1min hr hand goes 2/9deg
For 40 min hour goes (2/9)*40 deg=80/9 deg=9 deg (approx)
thus hr hand covers total of 240+9=249 deg
now min hand covers=40*4=160 deg
(90min=360deg
1min=4deg)
Thus angle between them 249-160 = 89 deg
Most Upvoted Answer
Read the passage given below and solve the questions based on it There...
Finding the Angle between Clock Hands on Planet North
Given data:
- 8 days in a week from Sunday to Saturday
- 1 extra day called Funday on planet North
- 36 hours in a day
- Each hour has 90 minutes
- Each minute has 60 seconds
To find:
- Approximate angle between the hands of a clock on North when the time is 16.50 am
Approach:
- Calculate the total minutes that have passed since 12 o'clock
- Calculate the angle made by each hand with respect to 12 o'clock
- Calculate the difference between the two angles to get the angle between the hands
Calculations:
Total minutes passed since 12 o'clock:
- One day has 36 hours, so 1 hour on planet North = 90/60 = 1.5 hours on Earth
- Therefore, 16.50 am on North = 16 - 12 + 0.5 = 4.5 hours after 12 o'clock on Earth
- 4.5 hours on Earth = 4.5 x 60 = 270 minutes
- Funday is not included in the Earth's calendar, so we ignore it for this question
Angle made by the hour hand:
- In 12 hours, the hour hand moves 360 degrees, so in 1 hour, it moves 30 degrees
- In 60 minutes, the hour hand moves half a degree (30/60 = 0.5)
- At 4:30, the hour hand is exactly on the 4
- Therefore, the angle made by the hour hand = 4 x 30 + 0.5 x 270 = 135 degrees
Angle made by the minute hand:
- In 60 minutes, the minute hand moves 360 degrees, so in 1 minute, it moves 6 degrees
- At 50 minutes, the minute hand is exactly on the 10
- Therefore, the angle made by the minute hand = 6 x 50 = 300 degrees
Angle between the hands:
- The angle between the hands is the absolute difference between the two angles
- Angle between hands = |135 - 300| = 165 degrees
Therefore, the approximate angle between the hands of a clock on North when the time is 16.50 am is 165 degrees, which is option (d).
Given data:
- 8 days in a week from Sunday to Saturday
- 1 extra day called Funday on planet North
- 36 hours in a day
- Each hour has 90 minutes
- Each minute has 60 seconds
To find:
- Approximate angle between the hands of a clock on North when the time is 16.50 am
Approach:
- Calculate the total minutes that have passed since 12 o'clock
- Calculate the angle made by each hand with respect to 12 o'clock
- Calculate the difference between the two angles to get the angle between the hands
Calculations:
Total minutes passed since 12 o'clock:
- One day has 36 hours, so 1 hour on planet North = 90/60 = 1.5 hours on Earth
- Therefore, 16.50 am on North = 16 - 12 + 0.5 = 4.5 hours after 12 o'clock on Earth
- 4.5 hours on Earth = 4.5 x 60 = 270 minutes
- Funday is not included in the Earth's calendar, so we ignore it for this question
Angle made by the hour hand:
- In 12 hours, the hour hand moves 360 degrees, so in 1 hour, it moves 30 degrees
- In 60 minutes, the hour hand moves half a degree (30/60 = 0.5)
- At 4:30, the hour hand is exactly on the 4
- Therefore, the angle made by the hour hand = 4 x 30 + 0.5 x 270 = 135 degrees
Angle made by the minute hand:
- In 60 minutes, the minute hand moves 360 degrees, so in 1 minute, it moves 6 degrees
- At 50 minutes, the minute hand is exactly on the 10
- Therefore, the angle made by the minute hand = 6 x 50 = 300 degrees
Angle between the hands:
- The angle between the hands is the absolute difference between the two angles
- Angle between hands = |135 - 300| = 165 degrees
Therefore, the approximate angle between the hands of a clock on North when the time is 16.50 am is 165 degrees, which is option (d).
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Read the passage given below and solve the questions based on it There are 8 days in a week from Sunday io Saturday and another day called Fund ay on planet North. There are 36 h in a day and each hour has 90 min while each minute has 60 s.Q.Find the approximate angle between the hands of a clock on North when the time is 16.50 am?a)189b)131c)320d)165Correct answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Read the passage given below and solve the questions based on it There are 8 days in a week from Sunday io Saturday and another day called Fund ay on planet North. There are 36 h in a day and each hour has 90 min while each minute has 60 s.Q.Find the approximate angle between the hands of a clock on North when the time is 16.50 am?a)189b)131c)320d)165Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the passage given below and solve the questions based on it There are 8 days in a week from Sunday io Saturday and another day called Fund ay on planet North. There are 36 h in a day and each hour has 90 min while each minute has 60 s.Q.Find the approximate angle between the hands of a clock on North when the time is 16.50 am?a)189b)131c)320d)165Correct answer is option 'B'. Can you explain this answer?.
Read the passage given below and solve the questions based on it There are 8 days in a week from Sunday io Saturday and another day called Fund ay on planet North. There are 36 h in a day and each hour has 90 min while each minute has 60 s.Q.Find the approximate angle between the hands of a clock on North when the time is 16.50 am?a)189b)131c)320d)165Correct answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Read the passage given below and solve the questions based on it There are 8 days in a week from Sunday io Saturday and another day called Fund ay on planet North. There are 36 h in a day and each hour has 90 min while each minute has 60 s.Q.Find the approximate angle between the hands of a clock on North when the time is 16.50 am?a)189b)131c)320d)165Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the passage given below and solve the questions based on it There are 8 days in a week from Sunday io Saturday and another day called Fund ay on planet North. There are 36 h in a day and each hour has 90 min while each minute has 60 s.Q.Find the approximate angle between the hands of a clock on North when the time is 16.50 am?a)189b)131c)320d)165Correct answer is option 'B'. Can you explain this answer?.
Solutions for Read the passage given below and solve the questions based on it There are 8 days in a week from Sunday io Saturday and another day called Fund ay on planet North. There are 36 h in a day and each hour has 90 min while each minute has 60 s.Q.Find the approximate angle between the hands of a clock on North when the time is 16.50 am?a)189b)131c)320d)165Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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