CAT Exam > CAT Questions > The integers 34041 and 32506 when divided by ...
Start Learning for Free
The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?
- a)289
- b)367
- c)453
- d)307
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The integers 34041 and 32506 when divided by a three-digit integer n l...
This question is part of UPSC exam. View all CAT courses
Most Upvoted Answer
The integers 34041 and 32506 when divided by a three-digit integer n l...
For a number N to have same remainder when dividing two distinct numbers X and Y, it is important that the difference b/w X and Y is a multiple of N.
Ex- Let the number N be 4 and X=18 and Y=38
Here, X-Y= 20 (a multiple of N i.e 4)
The remainder for both X and Y when divided by N=4 will be same that is 2.
Community Answer
The integers 34041 and 32506 when divided by a three-digit integer n l...
Given Information:
- Two integers, 34041 and 32506, leave the same remainder when divided by a three-digit integer n.
Approach:
- To find the value of n, we need to find the difference between the two given integers and then find the common factors of this difference.
Calculation:
- The difference between the two given integers is 34041 - 32506 = 1535.
- Factors of 1535 are 1, 5, 307, and 1535.
- Since n is a three-digit integer, the only possible value of n from the factors of 1535 is 307.
Therefore, the three-digit integer n is 307, which is the correct answer (option D).
- Two integers, 34041 and 32506, leave the same remainder when divided by a three-digit integer n.
Approach:
- To find the value of n, we need to find the difference between the two given integers and then find the common factors of this difference.
Calculation:
- The difference between the two given integers is 34041 - 32506 = 1535.
- Factors of 1535 are 1, 5, 307, and 1535.
- Since n is a three-digit integer, the only possible value of n from the factors of 1535 is 307.
Therefore, the three-digit integer n is 307, which is the correct answer (option D).
|
|
Explore Courses for CAT exam
|
|
Top Courses for CATView all
The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?a)289b)367c)453d)307Correct answer is option 'D'. Can you explain this answer?
Question Description
The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?a)289b)367c)453d)307Correct answer is option 'D'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?a)289b)367c)453d)307Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?a)289b)367c)453d)307Correct answer is option 'D'. Can you explain this answer?.
The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?a)289b)367c)453d)307Correct answer is option 'D'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?a)289b)367c)453d)307Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?a)289b)367c)453d)307Correct answer is option 'D'. Can you explain this answer?.
Solutions for The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?a)289b)367c)453d)307Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?a)289b)367c)453d)307Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?a)289b)367c)453d)307Correct answer is option 'D'. Can you explain this answer?, a detailed solution for The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?a)289b)367c)453d)307Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?a)289b)367c)453d)307Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?a)289b)367c)453d)307Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup