CAT Exam  >  CAT Questions  >  When 284 is divided by a certain divisor the ... Start Learning for Free
When 284 is divided by a certain divisor the remainder obtained is 8. When 801 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 284 and 801 is divided by the divisor, the remainder obtained is 5. What is the value of the divisor?
  • a)
    10
  • b)
    12
  • c)
    16
  • d)
    20
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
When 284 is divided by a certain divisor the remainder obtained is 8. ...
When 284 is divided by a certain divisor the remainder obtained is 8.
Let the divisor be d.
When 284 is divided by d, let the quotient be 'x'.
The remainder is 8.
Therefore, 284 = xd + 8
When 801 is divided by the same divisor the remainder obtained is 9.
Let y be the quotient when 801 is divided by d.
Then, 801 = yd + 9.
When the sum of the two numbers, 284 and 801, is divided by the divisor, the remainder obtained is 5.
284 + 801 = 1085 = xd + yd + 8 + 9
1085 = xd + yd + 17
As xd and yd are divisible by d, the remainder when 1085 is divided by d should have been 17.
However, because we know that the remainder is 5, it would be possible only when 17 divided by d leaves a remainder of 5.
Then, d = 12.
View all questions of this test
Explore Courses for CAT exam

Top Courses for CAT

When 284 is divided by a certain divisor the remainder obtained is 8. When 801 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 284 and 801 is divided by the divisor, the remainder obtained is 5. What is the value of the divisor?a)10b)12c)16d)20Correct answer is option 'B'. Can you explain this answer?
Question Description
When 284 is divided by a certain divisor the remainder obtained is 8. When 801 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 284 and 801 is divided by the divisor, the remainder obtained is 5. What is the value of the divisor?a)10b)12c)16d)20Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about When 284 is divided by a certain divisor the remainder obtained is 8. When 801 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 284 and 801 is divided by the divisor, the remainder obtained is 5. What is the value of the divisor?a)10b)12c)16d)20Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When 284 is divided by a certain divisor the remainder obtained is 8. When 801 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 284 and 801 is divided by the divisor, the remainder obtained is 5. What is the value of the divisor?a)10b)12c)16d)20Correct answer is option 'B'. Can you explain this answer?.
Solutions for When 284 is divided by a certain divisor the remainder obtained is 8. When 801 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 284 and 801 is divided by the divisor, the remainder obtained is 5. What is the value of the divisor?a)10b)12c)16d)20Correct answer is option 'B'. 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 When 284 is divided by a certain divisor the remainder obtained is 8. When 801 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 284 and 801 is divided by the divisor, the remainder obtained is 5. What is the value of the divisor?a)10b)12c)16d)20Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of When 284 is divided by a certain divisor the remainder obtained is 8. When 801 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 284 and 801 is divided by the divisor, the remainder obtained is 5. What is the value of the divisor?a)10b)12c)16d)20Correct answer is option 'B'. Can you explain this answer?, a detailed solution for When 284 is divided by a certain divisor the remainder obtained is 8. When 801 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 284 and 801 is divided by the divisor, the remainder obtained is 5. What is the value of the divisor?a)10b)12c)16d)20Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of When 284 is divided by a certain divisor the remainder obtained is 8. When 801 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 284 and 801 is divided by the divisor, the remainder obtained is 5. What is the value of the divisor?a)10b)12c)16d)20Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice When 284 is divided by a certain divisor the remainder obtained is 8. When 801 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 284 and 801 is divided by the divisor, the remainder obtained is 5. What is the value of the divisor?a)10b)12c)16d)20Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev