Railways Exam > Railways Questions > What is the least number which when divided b...
Start Learning for Free
What is the least number which when divided by 2, 5, 7 and 9 leaves a remainder of 1 in each case?
- a)631
- b)156
- c)361
- d)147
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
What is the least number which when divided by 2, 5, 7 and 9 leaves a ...
LCM (2, 5, 7, 9 ) = 630
The smallest number which leaves remainder 1 when divided by 2, 5, 7, and 9
= 630+1 = 631
The smallest number which leaves remainder 1 when divided by 2, 5, 7, and 9
= 630+1 = 631
Most Upvoted Answer
What is the least number which when divided by 2, 5, 7 and 9 leaves a ...
To find the least number that satisfies the given conditions, we need to find the least common multiple (LCM) of the numbers 2, 5, 7, and 9.
- LCM of 2 and 5: The LCM of 2 and 5 is 10, as both numbers are prime and not divisible by each other.
- LCM of 10 and 7: The LCM of 10 and 7 is 70, as 70 is the smallest number divisible by both 10 and 7.
- LCM of 70 and 9: To find the LCM of 70 and 9, we can break down both numbers into their prime factors:
- 70 = 2 * 5 * 7
- 9 = 3 * 3
- LCM = 2 * 3 * 3 * 5 * 7 = 630
- However, we need to find the least number that leaves a remainder of 1 when divided by 2, 5, 7, and 9. So, we add 1 to the LCM: 630 + 1 = 631.
Therefore, the least number that satisfies the given conditions is 631.
- LCM of 2 and 5: The LCM of 2 and 5 is 10, as both numbers are prime and not divisible by each other.
- LCM of 10 and 7: The LCM of 10 and 7 is 70, as 70 is the smallest number divisible by both 10 and 7.
- LCM of 70 and 9: To find the LCM of 70 and 9, we can break down both numbers into their prime factors:
- 70 = 2 * 5 * 7
- 9 = 3 * 3
- LCM = 2 * 3 * 3 * 5 * 7 = 630
- However, we need to find the least number that leaves a remainder of 1 when divided by 2, 5, 7, and 9. So, we add 1 to the LCM: 630 + 1 = 631.
Therefore, the least number that satisfies the given conditions is 631.
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
What is the least number which when divided by 2, 5, 7 and 9 leaves a remainder of 1 in each case?a)631b)156c)361d)147Correct answer is option 'A'. Can you explain this answer?
Question Description
What is the least number which when divided by 2, 5, 7 and 9 leaves a remainder of 1 in each case?a)631b)156c)361d)147Correct answer is option 'A'. 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 What is the least number which when divided by 2, 5, 7 and 9 leaves a remainder of 1 in each case?a)631b)156c)361d)147Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the least number which when divided by 2, 5, 7 and 9 leaves a remainder of 1 in each case?a)631b)156c)361d)147Correct answer is option 'A'. Can you explain this answer?.
What is the least number which when divided by 2, 5, 7 and 9 leaves a remainder of 1 in each case?a)631b)156c)361d)147Correct answer is option 'A'. 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 What is the least number which when divided by 2, 5, 7 and 9 leaves a remainder of 1 in each case?a)631b)156c)361d)147Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the least number which when divided by 2, 5, 7 and 9 leaves a remainder of 1 in each case?a)631b)156c)361d)147Correct answer is option 'A'. Can you explain this answer?.
Solutions for What is the least number which when divided by 2, 5, 7 and 9 leaves a remainder of 1 in each case?a)631b)156c)361d)147Correct answer is option 'A'. 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 What is the least number which when divided by 2, 5, 7 and 9 leaves a remainder of 1 in each case?a)631b)156c)361d)147Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
What is the least number which when divided by 2, 5, 7 and 9 leaves a remainder of 1 in each case?a)631b)156c)361d)147Correct answer is option 'A'. Can you explain this answer?, a detailed solution for What is the least number which when divided by 2, 5, 7 and 9 leaves a remainder of 1 in each case?a)631b)156c)361d)147Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of What is the least number which when divided by 2, 5, 7 and 9 leaves a remainder of 1 in each case?a)631b)156c)361d)147Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice What is the least number which when divided by 2, 5, 7 and 9 leaves a remainder of 1 in each case?a)631b)156c)361d)147Correct answer is option 'A'. 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