Class 10 Exam > Class 10 Questions > Two tankers contains 620 liters and 840 liter...
Start Learning for Free
Two tankers contains 620 liters and 840 liters of diesel respectively. Find the maximum capacity of a container which can measure the diesel of both the tankersin exact number of times.?
Most Upvoted Answer
Two tankers contains 620 liters and 840 liters of diesel respectively....
**Problem Statement:**
- Two tankers contain 620 liters and 840 liters of diesel respectively.
- Find the maximum capacity of a container that can measure the diesel of both the tankers in an exact number of times.
**Solution:**
- To find the maximum capacity of a container, we need to find the common factors of the two given quantities (620 and 840).
- The factors of 620 are: 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, and 620.
- The factors of 840 are: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, and 840.
- From the above factors, we need to find the common factors of 620 and 840.
- The common factors of 620 and 840 are: 1, 2, 4, 5, 10, 20, and 40.
- Therefore, the maximum capacity of a container that can measure the diesel of both the tankers in an exact number of times is 40 liters.
- We can measure the diesel of the first tanker 620/40 = 15 times and measure the diesel of the second tanker 840/40 = 21 times using a 40-liter container.
**Answer:**
- The maximum capacity of a container that can measure the diesel of both the tankers in an exact number of times is 40 liters.
- Two tankers contain 620 liters and 840 liters of diesel respectively.
- Find the maximum capacity of a container that can measure the diesel of both the tankers in an exact number of times.
**Solution:**
- To find the maximum capacity of a container, we need to find the common factors of the two given quantities (620 and 840).
- The factors of 620 are: 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, and 620.
- The factors of 840 are: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, and 840.
- From the above factors, we need to find the common factors of 620 and 840.
- The common factors of 620 and 840 are: 1, 2, 4, 5, 10, 20, and 40.
- Therefore, the maximum capacity of a container that can measure the diesel of both the tankers in an exact number of times is 40 liters.
- We can measure the diesel of the first tanker 620/40 = 15 times and measure the diesel of the second tanker 840/40 = 21 times using a 40-liter container.
**Answer:**
- The maximum capacity of a container that can measure the diesel of both the tankers in an exact number of times is 40 liters.
Community Answer
Two tankers contains 620 liters and 840 liters of diesel respectively....
We take HCF of 620 and 840
by Euclid's division lemma
c=dq+r, 0< />
840=620×1+220
again by Euclid division lemma
620=220×2+180
again by Euclid division lemma
220=180×1+40
again by Euclid division lemma
180=40×4+20
again by Euclid division lemma
40=20×2+0
the HCF is 20
hence we take 20 L capacity object it measure the both tankers.
by Euclid's division lemma
c=dq+r, 0< />
840=620×1+220
again by Euclid division lemma
620=220×2+180
again by Euclid division lemma
220=180×1+40
again by Euclid division lemma
180=40×4+20
again by Euclid division lemma
40=20×2+0
the HCF is 20
hence we take 20 L capacity object it measure the both tankers.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Two tankers contains 620 liters and 840 liters of diesel respectively. Find the maximum capacity of a container which can measure the diesel of both the tankersin exact number of times.?
Question Description
Two tankers contains 620 liters and 840 liters of diesel respectively. Find the maximum capacity of a container which can measure the diesel of both the tankersin exact number of times.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Two tankers contains 620 liters and 840 liters of diesel respectively. Find the maximum capacity of a container which can measure the diesel of both the tankersin exact number of times.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two tankers contains 620 liters and 840 liters of diesel respectively. Find the maximum capacity of a container which can measure the diesel of both the tankersin exact number of times.?.
Two tankers contains 620 liters and 840 liters of diesel respectively. Find the maximum capacity of a container which can measure the diesel of both the tankersin exact number of times.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Two tankers contains 620 liters and 840 liters of diesel respectively. Find the maximum capacity of a container which can measure the diesel of both the tankersin exact number of times.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two tankers contains 620 liters and 840 liters of diesel respectively. Find the maximum capacity of a container which can measure the diesel of both the tankersin exact number of times.?.
Solutions for Two tankers contains 620 liters and 840 liters of diesel respectively. Find the maximum capacity of a container which can measure the diesel of both the tankersin exact number of times.? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Two tankers contains 620 liters and 840 liters of diesel respectively. Find the maximum capacity of a container which can measure the diesel of both the tankersin exact number of times.? defined & explained in the simplest way possible. Besides giving the explanation of
Two tankers contains 620 liters and 840 liters of diesel respectively. Find the maximum capacity of a container which can measure the diesel of both the tankersin exact number of times.?, a detailed solution for Two tankers contains 620 liters and 840 liters of diesel respectively. Find the maximum capacity of a container which can measure the diesel of both the tankersin exact number of times.? has been provided alongside types of Two tankers contains 620 liters and 840 liters of diesel respectively. Find the maximum capacity of a container which can measure the diesel of both the tankersin exact number of times.? theory, EduRev gives you an
ample number of questions to practice Two tankers contains 620 liters and 840 liters of diesel respectively. Find the maximum capacity of a container which can measure the diesel of both the tankersin exact number of times.? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup