Maharashtra Board Class 5 Maths Chapter 10 Measuring Time Set 45 Solutions

Problem Set 45 Class 5 Maths Chapter 10 Measuring Time Question Answer Maharashtra Board

Measuring Time Class 5 Problem Set 45 Question Answer Maharashtra Board

Std 5 Maths Chapter 10 Measuring Time

 

Question 1. Add the following :
(1) 2 hours 30 minutes + 4 hours 55 minutes
Solution:

Hrs.	Min.
2	30
+ 4	55
7	85
7+1 = 7	85-60 = 25
7	25

85 minutes = 1 hr 25 min
Answer: 7 hours 25 minutes
In simple words: To add time, sum minutes and hours separately. If minutes exceed 60, convert the excess 60 minutes into 1 hour and add it to the hours total.

🎯 Exam Tip: Always remember to convert minutes exceeding 60 into hours when adding time, as 60 minutes equals 1 hour. This is a common conversion point to ensure accuracy.

 

Question 1. Add the following :
(2) 3 hours 50 minutes + 4 hours 20 minutes
Solution:

Hrs.	Min.
3	50
+ 4	20
7	70
7+1 = 8	70-60 = 10
8	10

70 minutes = 1 hr 10 min.
Answer: 8 hours 10 minutes
In simple words: Add the minutes and hours separately. Since 70 minutes is more than 60, convert 60 minutes to 1 hour and add it to the hours, leaving the remaining minutes.

🎯 Exam Tip: Always double-check minute conversions. A mistake in converting 60 minutes to 1 hour can lead to an incorrect final answer in time addition problems.

 

Question 1. Add the following :
(3) 3 hours 45 minutes + 1 hour 35 minutes
Solution:

Hrs.	Min.
3	45
+ 1	35
4	80
4+1 = 5	80-60 = 20
5	20

80 minutes = 1 hr 20 min
Answer: 5 hours 20 minutes
In simple words: Sum the minutes and hours independently. If the total minutes exceed 60, convert 60 of those minutes into an hour and add it to the total hours.

🎯 Exam Tip: Remember that time calculations are base 60 for minutes and seconds, not base 10. This distinction is crucial for correct regrouping.

 

Question 1. Add the following :
(4) 4 hours 15 minutes + 2 hours 50 minutes
Solution:

Hrs.	Min.
4	15
+ 2	50
6	65
6+1 = 7	65-60 = 05
7	05

65 minutes = 1 hr 05 min
Answer: 7 hours 05 minutes
In simple words: Add the minutes first, then the hours. If minutes are 60 or more, subtract 60 from minutes, add 1 to hours, and write the result.

🎯 Exam Tip: Pay attention to leading zeros for minutes (e.g., 05 instead of 5) to maintain consistent time notation, especially in numerical answers.

 

Question 2. Subtract the following :
(1) 3 hours 10 minutes - 2 hours 40 minutes
Solution:

Hrs.	Min.
2	60 + 10 = 70
3	10
- 2	40
0	30

Answer: 0 hours 30 minutes
In simple words: When subtracting, if the minutes to be subtracted are larger than the available minutes, borrow 1 hour (60 minutes) from the hours column and add it to the minutes.

🎯 Exam Tip: Borrowing in time subtraction is different from regular subtraction; 1 hour becomes 60 minutes. Carefully manage this conversion to avoid errors.

 

Question 2. Subtract the following :
(2) 5 hours 20 minutes - 2 hours 35 minutes
Solution:

Hrs.	Min.
4	60 + 20 = 80
5	20
- 2	35
2	45

Answer: 2 hours 45 minutes
In simple words: When minutes to be subtracted are greater, borrow 1 hour (60 minutes) from the hours column, add it to the minutes, then perform the subtraction for both minutes and hours.

🎯 Exam Tip: Clearly show the borrowing step by crossing out the original hour value and writing the new, decreased hour value, and similarly for minutes, for better clarity in your solution.

 

Question 2. Subtract the following :
(3) 4 hours 25 minutes - 1 hour 55 minutes
Solution:

Hrs.	Min.
3	60 + 25 = 85
4	25
- 1	55
2	30

Answer: 2 hours 30 minutes
In simple words: When the minutes to be subtracted are larger, take 1 hour (60 minutes) from the hours, add it to the initial minutes, then proceed with the subtraction.

🎯 Exam Tip: Practice borrowing exercises frequently to build confidence and speed. This skill is fundamental for all time-related subtraction problems.

 

Question 2. Subtract the following :
(4) 6 hours 15 minutes - 2 hours 45 minutes
Solution:

Hrs.	Min.
5	60 + 15 = 75
6	15
- 2	45
3	30

Answer: 3 hours 30 minutes
In simple words: Since 15 minutes is less than 45 minutes, borrow 1 hour (60 minutes) from the hours column, making it 5 hours and 75 minutes, then subtract.

🎯 Exam Tip: Always double-check your arithmetic, especially after borrowing, to ensure that both the hours and minutes subtractions are performed correctly.

 

Question 3. A government office opens at 7 in the morning and closes at 3 in the afternoon. How long is this office open?
Solution:

Hrs.	Min.
15	00 Closing time (3 pm in 24-hr format)
- 7	00 Opening time (7 am)
8	00

Office remain open for 8 hours
Answer: The office is open for 8 hours.
In simple words: Convert the closing time to 24-hour format (3 pm is 15:00), then subtract the opening time (7:00 am) from the closing time to find the duration.

🎯 Exam Tip: For problems spanning across noon (AM to PM), converting to 24-hour format simplifies calculations and reduces errors in determining duration.

 

Question 4. A movie starts at 45 minutes past 3 in the afternoon and finishes two and a half hours later. At what time does the movie end?
Solution:

Hrs.	Min.
3	45 Movie starts
+ 2	30 Duration of movie
5	75
5+1=6	75-60=15
6	15 Ends of movie in the evening

Movie ends at 6:15 in the evening
Answer: The movie ends at 6:15 in the evening.
In simple words: Add the movie duration (2 hours 30 minutes) to the start time (3:45 pm). Remember to convert 75 minutes to 1 hour and 15 minutes.

🎯 Exam Tip: Break down complex time addition problems into simple steps: add minutes, then add hours, then perform any necessary minute-to-hour conversions.

 

Question 5. Sakharam was ploughing the field from 8 in the morning. At 12:30 in the afternoon, he stopped and started for home. He reached home at 1:30. How long was he ploughing the field? How long did it take him to reach home from the field?
Solution:

Hrs.	Min.
12	30 Stopped ploughing
- 8	00 Started ploughing
4	30 Hours ploughed

Hrs.	Min.
Time in 24 hours clock for	1:30 = 13:30
13	30
-12	30
1 hour is the time taken to	reach home
1	00

He ploughed for 4:30 hrs. He took 1 hour to reach home.
Answer: He ploughed for 4 hours 30 minutes. It took him 1 hour to reach home.
In simple words: Calculate ploughing time by subtracting the start time (8:00 am) from the stop time (12:30 pm). Calculate travel time by subtracting the stop time (12:30 pm) from the arrival time (1:30 pm, converted to 13:30 for consistency).

🎯 Exam Tip: For multi-part word problems, break down the question into smaller, manageable calculations. Clearly label each step to avoid confusion and ensure all parts of the question are answered.

 

Question 6. Rambhau started the water pump at ten-thirty at night and put it off the same night at a quarter to twelve. How long was the water pump on?
Solution:
Quarter to 12 is 11:45 pm

Hrs.	Min.
11	45 Water pump put off
-10	30 Pump started
1	15

pump was on for 1 hour 15 minutes
Answer: The water pump was on for 1 hour 15 minutes.
In simple words: Convert "quarter to twelve" to 11:45 pm. Then subtract the start time (10:30 pm) from the end time (11:45 pm) to find the duration.

🎯 Exam Tip: Be precise with time interpretations, especially phrases like "ten-thirty" and "quarter to twelve," which directly impact the initial and final values in your calculations.

 

Question 7. Geeta taught in the classroom for 2 hours and 25 minutes in the morning and 1 hour and 45 minutes in the afternoon. How long was she teaching in all?
Solution:

Hrs.	Min.
2	25 Teaching in morning
+ 1	45 Teaching in afternoon
3	70
3+1=4	70-60=10 (70 min = 1 hr 10 min)
4	10

Total teaching of Geeta was for 4 hrs 10 min.
Answer: Geeta was teaching for a total of 4 hours 10 minutes.
In simple words: Add the morning teaching duration to the afternoon teaching duration. Combine the minutes and hours, converting any minutes over 60 into additional hours.

🎯 Exam Tip: Clearly separate the given durations and label them before adding. This structured approach minimizes calculation errors in multi-part time problems.

 

Question 8. If a bank is open for business from 10 in the morning to 4:30 in the evening, how long is it open?
Solution:
Here, in 24 hours clock, 4:30 in the evening = 16:30

Hrs.	Min.
16	30 Closes
-10	00 Opens
6	30

Bank opens for 6 hrs 30 min.
Answer: The bank is open for 6 hours 30 minutes.
In simple words: Convert the closing time (4:30 pm) to 24-hour format (16:30). Then, subtract the opening time (10:00 am) from the closing time to find the total hours and minutes the bank is open.

🎯 Exam Tip: Always convert times to a consistent format (e.g., 24-hour clock) when calculating durations that cross the 12-hour mark to avoid AM/PM confusion.

 

Question 9. If a shop is open from 9:30 am to 10 pm, how long is it open?
Solution:
Here, 10 pm in 24 hours clock is 22:00

Hrs.	Min.
22	00 Shop closes
- 9	30 Shop opens
12	30

Shop opens for 12 hours 30 minutes
Answer: The shop is open for 12 hours 30 minutes.
In simple words: Convert 10 pm to 22:00 in 24-hour format. Then, subtract the opening time (9:30 am) from the closing time, borrowing an hour if necessary for the minutes calculation.

🎯 Exam Tip: When the minutes to be subtracted are greater than the current minutes, borrow 1 hour (60 minutes) from the hours column. This is a critical step in time subtraction.

 

Question 10. If the Maharashtra Express leaving from Kolhapur at 15:30 arrives at Gondia the next day at 20:15, how long is the journey from Kolhapur to Gondia?
Solution:
15:30 to next 15:30 is 24 hours

Hrs.	Min.
19	60 + 15 = 75
20	15 School ends (Arrival time)
-15	30 School begins (Same time next day)
4	45 Hours (Additional time)

24 hours + 4 hr. 45 min. = 28 hr. 45 min.
jurney from Koihapur to Gondiya is 28 hours and 45 minutes.
Answer: The journey from Kolhapur to Gondia is 28 hours and 45 minutes.
In simple words: The journey spans a full 24 hours plus the time from 15:30 (3:30 pm) on the second day until 20:15 (8:15 pm). Calculate the additional time and add it to 24 hours.

🎯 Exam Tip: For overnight journeys, calculate the full 24-hour blocks first, then add the remaining partial day's travel time to get the total duration.

 

Measuring Time Problem Set 45 Additional Important Questions and Answers

 

Question 1. Add the following.
(1) 5 hours 25 minutes + 2 hours 35 minutes
Solution:

Hrs.	Min.
5	25
+ 2	35
7	60
7+1 = 8	60-60 = 00
8	00

60 minutes = 1 hr
Answer: 8 hours 00 minutes (or 8 hours)
In simple words: Add minutes and hours. Since the minutes sum to exactly 60, convert it to 1 hour and add to the hours total.

🎯 Exam Tip: When minutes sum up to exactly 60, ensure you convert it completely to 1 hour, resulting in 00 minutes in the final answer.

 

Question 1. Add the following.
(2) 6 hours 55 minutes + 2 hours 15 minutes
Solution:

Hrs.	Min.
6	55
+ 2	15
8	70
8+1 = 9	70-60 = 10
9	10

70 minutes = 1 hr. 10 min
Answer: 9 hours 10 minutes
In simple words: Combine the minutes (55+15=70) and hours (6+2=8). Convert 70 minutes to 1 hour and 10 minutes, then add the hour to the total hours.

🎯 Exam Tip: Practice mental arithmetic for common minute sums (e.g., 55+15=70) to quickly identify when a 60-minute conversion is needed.

 

Question 2. Subtract the following.
(1) 7 hours 30 minutes - 4 hours 50 minutes
Solution:

Hrs.	Min.
6	60 + 30 = 90
7	30
- 4	50
2	40

Answer: 2 hours 40 minutes
In simple words: Since 30 minutes is less than 50 minutes, borrow 1 hour (60 minutes) from 7 hours, making it 6 hours and 90 minutes, then subtract.

🎯 Exam Tip: Clearly cross out and write the new values when borrowing to prevent confusion, especially in multi-step problems.

 

Question 2. Subtract the following.
(2) 2 hours 35 minutes - 1 hour 40 minutes
Solution:

Hrs.	Min.
1	60 + 35 = 95
2	35
- 1	40
0	55

Answer: 0 hours 55 minutes (or 55 minutes)
In simple words: Since 35 minutes is less than 40 minutes, borrow 1 hour (60 minutes) from 2 hours, making it 1 hour and 95 minutes, then subtract the hours and minutes.

🎯 Exam Tip: Pay close attention when the result of hours subtraction is zero. Write '0 hours' or simply state the minutes (e.g., '55 minutes') for clarity.

 

Question 3. Solve the following:
(1) Supriya left for a picnic at 7:15 am. She came back at 6:45 pm. How long was she out for the picnic?
Here 6:45 pm = 18:45 (In 24 hours clock)
Solution:

Hrs.	Min.
18	45
-7	15
11	30

Total time of picnic is 11:30 hrs.
Answer: Supriya was out for the picnic for 11 hours 30 minutes.
In simple words: Convert the return time (6:45 pm) to 24-hour format (18:45). Then subtract the departure time (7:15 am) from the return time to find the total duration.

🎯 Exam Tip: Always convert times to 24-hour format when calculating durations that cross the AM/PM boundary to simplify subtraction and prevent errors.

 

Question 3. Solve the following:
(2) In Dave's school, the tree planting ceremony started at 10:00 in the morning and got over at 13:45. How long did the ceremony go on?
Solution:

Hrs.	Min.
13	45
-10	15
3	30

Ceremony of planting tree go on for 3 hrs 45 min
Answer: The ceremony went on for 3 hours 30 minutes.
In simple words: Subtract the start time (10:00 am) from the end time (13:45 or 1:45 pm) to calculate the duration of the tree planting ceremony.

🎯 Exam Tip: When both start and end times are in 24-hour format (or easily convertible), direct subtraction is the most efficient method to find the duration.

 

Question 4. Write the time shown in each clock in the box given below it.
(1)

ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक घड़ी है जिसमें छोटी सुई 3 और 4 के बीच है और बड़ी सुई 7 पर है। यह समय को 3 बजकर 35 मिनट के रूप में दर्शाती है।

Answer: 35 minutes past 3
In simple words: The small hand is past 3, and the big hand is on the 7, which means 35 minutes past the hour.

🎯 Exam Tip: When reading an analog clock, the hour hand indicates the hour, and the minute hand's position (multiplied by 5) indicates the minutes.

 

Question 4. Write the time shown in each clock in the box given below it.
(2)

ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक घड़ी है जिसमें छोटी सुई 5 के बहुत करीब है और बड़ी सुई 11 पर है। यह समय को 5 बजने में 5 मिनट शेष के रूप में दर्शाती है।

Answer: Five minutes to 5
In simple words: The minute hand is on 11, indicating 55 minutes (or 5 minutes before the next hour), and the hour hand is almost at 5.

🎯 Exam Tip: Times like "five minutes to X" or "quarter to X" refer to the upcoming hour, so pay attention to whether the minute hand is past the 6 or before it.

 

Question 4. Write the time shown in each clock in the box given below it.
(3)

ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक घड़ी है जिसमें छोटी सुई 2 के बहुत करीब है और बड़ी सुई 9 पर है। यह समय को 2 बजने में 15 मिनट शेष (पौने दो) के रूप में दर्शाती है।

Answer: Quarter to 2
In simple words: The minute hand is on 9 (45 minutes past the hour, or 15 minutes before the next hour), and the hour hand is approaching 2.

🎯 Exam Tip: "Quarter to" means 15 minutes before the hour, and the minute hand will always be pointing to the 9.

 

Question 4. Write the time shown in each clock in the box given below it.
(4)

ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक घड़ी है जिसमें छोटी सुई 8 और 9 के ठीक बीच में है और बड़ी सुई 6 पर है। यह समय को 8 बजकर 30 मिनट (साढ़े आठ) के रूप में दर्शाती है।

Answer: Half past eight
In simple words: The minute hand is on 6, indicating 30 minutes past the hour, and the hour hand is halfway between 8 and 9.

🎯 Exam Tip: "Half past" always means 30 minutes past the hour, and the minute hand will always be pointing to the 6.

 

Question 5. Draw the hands of the clock to show the time given in the box.
(1)

ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक घड़ी का प्रतिनिधित्व करता है जिसमें समय "क्वार्टर पास्ट 6" दर्शाया गया है। इसमें छोटी सुई 6 और 7 के बीच (6 के करीब) इंगित करती है, और बड़ी सुई 3 पर इंगित करती है, जो 15 मिनट को दर्शाती है।

Answer: Quater past 6
In simple words: For "Quarter past 6", draw the minute hand pointing to 3 (for 15 minutes) and the hour hand slightly past 6.

🎯 Exam Tip: For "quarter past X", the minute hand is always on the 3. The hour hand will be slightly moved past the hour 'X'.

 

Question 5. Draw the hands of the clock to show the time given in the box.
(2)

ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक घड़ी का प्रतिनिधित्व करता है जिसमें समय "50 मिनट्स पास्ट 1" दर्शाया गया है। इसमें छोटी सुई 2 के बहुत करीब इंगित करती है, और बड़ी सुई 10 पर इंगित करती है, जो 50 मिनट को दर्शाती है।

Answer: 50 minutes past 1
In simple words: For "50 minutes past 1", draw the minute hand pointing to 10 (for 50 minutes) and the hour hand very close to 2.

🎯 Exam Tip: When the minutes are high (e.g., 50 minutes), the hour hand should be drawn very close to the *next* hour, not the current hour.

 

Question 5. Draw the hands of the clock to show the time given in the box.
(3)

ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक घड़ी का प्रतिनिधित्व करता है जिसमें समय "हाफ पास्ट 3" दर्शाया गया है। इसमें छोटी सुई 3 और 4 के ठीक बीच में इंगित करती है, और बड़ी सुई 6 पर इंगित करती है, जो 30 मिनट को दर्शाती है।

Answer: Half past 3
In simple words: For "Half past 3", draw the minute hand pointing to 6 (for 30 minutes) and the hour hand exactly between 3 and 4.

🎯 Exam Tip: For "half past X", the minute hand is always on the 6. The hour hand will be exactly halfway between the current hour 'X' and the next hour 'X+1'.

 

Question 5. Draw the hands of the clock to show the time given in the box.
(4)

ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक घड़ी का प्रतिनिधित्व करता है जिसमें समय "5 मिनट्स टू 5" दर्शाया गया है। इसमें छोटी सुई 5 के बहुत करीब इंगित करती है, और बड़ी सुई 11 पर इंगित करती है, जो 55 मिनट (5 बजने में 5 मिनट) को दर्शाती है।

Answer: 5 minutes to 5
In simple words: For "5 minutes to 5", draw the minute hand pointing to 11 (for 55 minutes) and the hour hand very close to 5.

🎯 Exam Tip: "Minutes to X" means the minute hand is approaching the 12, and the hour hand is also very close to the indicated hour 'X'.

 

Question 6. The time below is given by the 12 hour clock. Write the same by the 24 hour clock.
(1) 45 minutes past 8 in the morning.
(2) 30 minutes past 2 in the evening.
(3) 50 minutes past 7 in the evening.
(4) 15 minutes past 11 in the evening.
(5) 25 minutes past after midnight.
(6) 25 minutes past 12 in afternoon.
Answer:
(1) 8:45
(2) 14:30
(3) 19:50
(4) 23:15
(5) 00:25
(6) 12:25
In simple words: For morning hours (AM), 24-hour time is the same as 12-hour time. For afternoon/evening hours (PM), add 12 to the hour. For times past midnight, the hour is 00.

🎯 Exam Tip: Remember these conversions: AM hours remain the same, PM hours add 12 (e.g., 2 PM becomes 14:00), and 12 AM (midnight) is 00:00, while 12 PM (noon) is 12:00.

 

Question 7. Match the following.

'A'	'B'
(1) 7:20 am	(a) 13:20
(2) 1:20 pm	(b) 22:10
(3) 6:10 pm	(c) 7:20
(4) 10:10 pm	(d) 6:10
(5) 6:10 am	(e) 18:10

Answer:
(1 - c),
(2 - a),
(3 - e),
(4 - b),
(5 - d)
In simple words: To match 12-hour clock times to 24-hour clock times, remember that AM times are the same (except 12 AM is 00:00), and for PM times, add 12 to the hour (except 12 PM is 12:00).

🎯 Exam Tip: Create a mental rule for conversion: for PM, if the hour is not 12, add 12. If it's 12 PM, it remains 12. If it's 12 AM, it becomes 00.

 

Question 8. Add the following.
(1) 3 hours 40 minutes + 2 hours 55 minutes
(2) 5 hours 25 minutes + 4 hours 35 minutes
(3) 6 hours 45 minutes + 1 hour 30 minutes
(4) 7 hours 50 minutes + 2 hours 30 minutes
(5) 9 hours 10 minutes + 3 hours 20 minutes
(6) 15 hours 45 minutes + 20 hours 15 minutes
Answer:
(1) 6 hrs 35 min
(2) 10 hrs
(3) 8 hrs 15 min
(4) 10 hrs 20 min
(5) 12 hrs 30 min
(6) 36 hours
In simple words: For each addition problem, add minutes first, then hours. If the total minutes are 60 or more, subtract 60 from minutes and add 1 to hours.

🎯 Exam Tip: Always practice converting excess minutes to hours carefully. A common mistake is forgetting to carry over the hour after the minute conversion.

 

Question 9. Subtract the following.
(1) 4 hours 20 minutes - 1 hour 30 minutes
(2) 3 hours 25 minutes - 1 hour 45 minutes
(3) 5 hours 10 minutes - 2 hours 40 minutes
(4) 2 hours 15 minutes - 50 minutes
(5) 9 hours 10 minutes - 6 hours 10 minutes
(6) 17 hours 30 minutes - 5 hours 25 minutes
Answer:
(1) 2 hours 50 minutes
(2) 1 hour 40 minutes
(3) 2 hours 30 minutes
(4) 1 hour 25 minutes
(5) 3 hours
(6) 12 hours 05 minutes
In simple words: For each subtraction problem, if the minutes to be subtracted are more than the current minutes, borrow 1 hour (60 minutes) from the hours column and add it to the current minutes before subtracting.

🎯 Exam Tip: When borrowing, make sure to correctly decrease the hour value by 1 and increase the minute value by 60. This step is fundamental for accurate time subtraction.

 

Question 10. Solve the following word problems.
(1) A play started at 9:50 at night and finished at 11:45 the same night. What was the duration of the play?
(2) Ramu went out at 10:45 in the morning and came back home at 7 pm. How long he was out of the home?
(3) Local train started from the Virar station at 8:35 am and reached at Churchgate at 10:30 am. Find the journey time taken by the train.
(4) Anita started her homework at 5:45 pm and completed the work at 7:30 pm. How much time is taken by Anita for the homework?
(5) One day test started at 9:15 am and the test ends at 4-10 in the evening. How much time was taken for this test?
(6) Seema travelled for 2 hours and 20 minutes by train and 1 hour 30 minutes by bus. What the total time of her journey?
(7) A train that starts from Mumbai at 17:50 reaches Nira at 2:10. How long does the Mumbai - Nira journey take?
Answer:
(1) 1 hour 55 minutes
(2) 8 hrs 15 min
(3) 1 hr 55 min
(4) 1 hr 45 min
(5) 6 hrs 55 min
(6) 3 hrs 50 min
(7) 8 hrs 20 min
In simple words: For each word problem, identify the start and end times, convert to a consistent format (24-hour if crossing AM/PM), then subtract or add durations as required, always performing minute-to-hour conversions.

🎯 Exam Tip: Read word problems carefully to identify whether you need to add or subtract time, and always convert to a 24-hour format if the duration spans across AM/PM for accuracy.

 

Class 5 Maths Solution Maharashtra Board

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