Railways Exam > Railways Questions > LCM of two numbers which are multiples of thr...
Start Learning for Free
LCM of two numbers which are multiples of three is 6. The LCM of all the numbers taken together is equal to the third number. If the sum of numbers is 21, find the numbers.
- a)1, 6, 14
- b)3, 6, 12
- c)2, 6, 13
- d)6, 5, 10
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
LCM of two numbers which are multiples of three is 6. The LCM of all t...
Only set of numbers that fit all the criteria is 3, 6, and 12
Hence answer is (2)
Most Upvoted Answer
LCM of two numbers which are multiples of three is 6. The LCM of all t...
Understanding the Problem
To find three numbers where:
- The LCM of the first two numbers (which are multiples of three) is 6.
- The LCM of all three numbers equals the third number.
- The sum of the numbers equals 21.
Identifying the Candidates
The candidates are:
- a) 1, 6, 14
- b) 3, 6, 12
- c) 2, 6, 13
- d) 6, 5, 10
Analyzing the Candidates
1. Candidate a (1, 6, 14):
- LCM(1, 6) = 6.
- LCM(1, 6, 14) = 42 (not equal to 14).
- Sum = 1 + 6 + 14 = 21 (valid sum but fails LCM condition).
2. Candidate b (3, 6, 12):
- LCM(3, 6) = 6.
- LCM(3, 6, 12) = 12 (equal to the third number).
- Sum = 3 + 6 + 12 = 21 (valid sum).
3. Candidate c (2, 6, 13):
- LCM(2, 6) = 6.
- LCM(2, 6, 13) = 78 (not equal to 13).
- Sum = 2 + 6 + 13 = 21 (valid sum but fails LCM condition).
4. Candidate d (6, 5, 10):
- LCM(6, 5) = 30.
- LCM(6, 5, 10) = 30 (not equal to 10).
- Sum = 6 + 5 + 10 = 21 (valid sum but fails LCM condition).
Conclusion
The only candidate that meets all conditions is option b (3, 6, 12):
- LCM of the first two is 6.
- LCM of all three is 12, which is the third number.
- The sum is 21.
Thus, the correct answer is option B.
To find three numbers where:
- The LCM of the first two numbers (which are multiples of three) is 6.
- The LCM of all three numbers equals the third number.
- The sum of the numbers equals 21.
Identifying the Candidates
The candidates are:
- a) 1, 6, 14
- b) 3, 6, 12
- c) 2, 6, 13
- d) 6, 5, 10
Analyzing the Candidates
1. Candidate a (1, 6, 14):
- LCM(1, 6) = 6.
- LCM(1, 6, 14) = 42 (not equal to 14).
- Sum = 1 + 6 + 14 = 21 (valid sum but fails LCM condition).
2. Candidate b (3, 6, 12):
- LCM(3, 6) = 6.
- LCM(3, 6, 12) = 12 (equal to the third number).
- Sum = 3 + 6 + 12 = 21 (valid sum).
3. Candidate c (2, 6, 13):
- LCM(2, 6) = 6.
- LCM(2, 6, 13) = 78 (not equal to 13).
- Sum = 2 + 6 + 13 = 21 (valid sum but fails LCM condition).
4. Candidate d (6, 5, 10):
- LCM(6, 5) = 30.
- LCM(6, 5, 10) = 30 (not equal to 10).
- Sum = 6 + 5 + 10 = 21 (valid sum but fails LCM condition).
Conclusion
The only candidate that meets all conditions is option b (3, 6, 12):
- LCM of the first two is 6.
- LCM of all three is 12, which is the third number.
- The sum is 21.
Thus, the correct answer is option B.
Attention Railways Students!
To make sure you are not studying endlessly, EduRev has designed Railways study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Railways.
|
Explore Courses for Railways exam
|
|
Similar Railways Doubts
Top Courses for RailwaysView all
LCM of two numbers which are multiples of three is 6. The LCM of all the numbers taken together is equal to the third number. If the sum of numbers is 21, find the numbers.a)1, 6, 14b)3, 6, 12c)2, 6, 13d)6, 5, 10Correct answer is option 'B'. Can you explain this answer?
Question Description
LCM of two numbers which are multiples of three is 6. The LCM of all the numbers taken together is equal to the third number. If the sum of numbers is 21, find the numbers.a)1, 6, 14b)3, 6, 12c)2, 6, 13d)6, 5, 10Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about LCM of two numbers which are multiples of three is 6. The LCM of all the numbers taken together is equal to the third number. If the sum of numbers is 21, find the numbers.a)1, 6, 14b)3, 6, 12c)2, 6, 13d)6, 5, 10Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for LCM of two numbers which are multiples of three is 6. The LCM of all the numbers taken together is equal to the third number. If the sum of numbers is 21, find the numbers.a)1, 6, 14b)3, 6, 12c)2, 6, 13d)6, 5, 10Correct answer is option 'B'. Can you explain this answer?.
LCM of two numbers which are multiples of three is 6. The LCM of all the numbers taken together is equal to the third number. If the sum of numbers is 21, find the numbers.a)1, 6, 14b)3, 6, 12c)2, 6, 13d)6, 5, 10Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about LCM of two numbers which are multiples of three is 6. The LCM of all the numbers taken together is equal to the third number. If the sum of numbers is 21, find the numbers.a)1, 6, 14b)3, 6, 12c)2, 6, 13d)6, 5, 10Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for LCM of two numbers which are multiples of three is 6. The LCM of all the numbers taken together is equal to the third number. If the sum of numbers is 21, find the numbers.a)1, 6, 14b)3, 6, 12c)2, 6, 13d)6, 5, 10Correct answer is option 'B'. Can you explain this answer?.
Solutions for LCM of two numbers which are multiples of three is 6. The LCM of all the numbers taken together is equal to the third number. If the sum of numbers is 21, find the numbers.a)1, 6, 14b)3, 6, 12c)2, 6, 13d)6, 5, 10Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
Download more important topics, notes, lectures and mock test series for Railways Exam by signing up for free.
Here you can find the meaning of LCM of two numbers which are multiples of three is 6. The LCM of all the numbers taken together is equal to the third number. If the sum of numbers is 21, find the numbers.a)1, 6, 14b)3, 6, 12c)2, 6, 13d)6, 5, 10Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
LCM of two numbers which are multiples of three is 6. The LCM of all the numbers taken together is equal to the third number. If the sum of numbers is 21, find the numbers.a)1, 6, 14b)3, 6, 12c)2, 6, 13d)6, 5, 10Correct answer is option 'B'. Can you explain this answer?, a detailed solution for LCM of two numbers which are multiples of three is 6. The LCM of all the numbers taken together is equal to the third number. If the sum of numbers is 21, find the numbers.a)1, 6, 14b)3, 6, 12c)2, 6, 13d)6, 5, 10Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of LCM of two numbers which are multiples of three is 6. The LCM of all the numbers taken together is equal to the third number. If the sum of numbers is 21, find the numbers.a)1, 6, 14b)3, 6, 12c)2, 6, 13d)6, 5, 10Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice LCM of two numbers which are multiples of three is 6. The LCM of all the numbers taken together is equal to the third number. If the sum of numbers is 21, find the numbers.a)1, 6, 14b)3, 6, 12c)2, 6, 13d)6, 5, 10Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Railways tests.
|
|
Explore Courses for Railways 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