UPSC Exam > UPSC Questions > What is the least four-digit number when divi...
Start Learning for Free
What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case?
- a)1012
- b)1022
- c)1122
- d)1222
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
What is the least four-digit number when divided by 3, 4, 5 and 6 leav...
The lowest 4-digit number is 1000.
LCM of 3, 4, and 5 is 60.
Dividing 1000 by 60, we get the remainder 40. Thus, the lowest 4-digit number that exactly divisible by 3, 4, and 5 is 1000 + (60 - 40) = 1020.
Now, add the remainder 2 that's required. Thus, the answer is 1022.
Most Upvoted Answer
What is the least four-digit number when divided by 3, 4, 5 and 6 leav...
Given: A four-digit number that leaves a remainder of 2 when divided by 3, 4, 5, and 6.
To find: The least four-digit number that satisfies the given condition.
Solution:
We need to find a number that leaves a remainder of 2 when divided by 3, 4, 5, and 6. This means that the number should be of the form:
N = LCM(3, 4, 5, 6) x K + 2
where K is an integer and LCM is the Least Common Multiple of 3, 4, 5, and 6.
LCM (3, 4, 5, 6) = 60
So, N = 60K + 2
We need to find the least four-digit number of this form.
The smallest value of K that gives a four-digit number is K = 17.
Substituting K = 17 in the above equation, we get:
N = 60 x 17 + 2 = 1022
Therefore, the least four-digit number that leaves a remainder of 2 when divided by 3, 4, 5, and 6 is 1022.
Answer: Option (b) 1022.
To find: The least four-digit number that satisfies the given condition.
Solution:
We need to find a number that leaves a remainder of 2 when divided by 3, 4, 5, and 6. This means that the number should be of the form:
N = LCM(3, 4, 5, 6) x K + 2
where K is an integer and LCM is the Least Common Multiple of 3, 4, 5, and 6.
LCM (3, 4, 5, 6) = 60
So, N = 60K + 2
We need to find the least four-digit number of this form.
The smallest value of K that gives a four-digit number is K = 17.
Substituting K = 17 in the above equation, we get:
N = 60 x 17 + 2 = 1022
Therefore, the least four-digit number that leaves a remainder of 2 when divided by 3, 4, 5, and 6 is 1022.
Answer: Option (b) 1022.
Free Test
FREE
| Start Free Test |
Community Answer
What is the least four-digit number when divided by 3, 4, 5 and 6 leav...
B
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case?a)1012b)1022c)1122d)1222Correct answer is option 'B'. Can you explain this answer?
Question Description
What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case?a)1012b)1022c)1122d)1222Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case?a)1012b)1022c)1122d)1222Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case?a)1012b)1022c)1122d)1222Correct answer is option 'B'. Can you explain this answer?.
What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case?a)1012b)1022c)1122d)1222Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case?a)1012b)1022c)1122d)1222Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case?a)1012b)1022c)1122d)1222Correct answer is option 'B'. Can you explain this answer?.
Solutions for What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case?a)1012b)1022c)1122d)1222Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case?a)1012b)1022c)1122d)1222Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case?a)1012b)1022c)1122d)1222Correct answer is option 'B'. Can you explain this answer?, a detailed solution for What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case?a)1012b)1022c)1122d)1222Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case?a)1012b)1022c)1122d)1222Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case?a)1012b)1022c)1122d)1222Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
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