SSC CGL Exam  >  SSC CGL Questions  >  A number when divided by a divisor leaves rem... Start Learning for Free
A number when divided by a divisor leaves remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor ?
  • a)
    13
  • b)
    59
  • c)
    35
  • d)
    37
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A number when divided by a divisor leaves remainder of 24. When twice ...
Explanation:

Given Data:
- Let the original number be x.
- Remainder when x is divided by the divisor = 24.
- Remainder when 2x is divided by the same divisor = 11.

Calculating the Divisor:
- Let the divisor be d.
- According to the given data,
- x = qd + 24 (where q is the quotient)
- 2x = pd + 11 (where p is the quotient)
- Substitute the value of x from the first equation into the second equation:
- 2(qd + 24) = pd + 11
- 2qd + 48 = pd + 11
- pd - 2qd = 37
- d(p - 2q) = 37
- As d is a positive integer, the only possible value for d is 37.

Therefore, the value of the divisor is 37 (option D).
Free Test
Community Answer
A number when divided by a divisor leaves remainder of 24. When twice ...
Let the divisor be x and quotient be y.
Then, the number = xy + 24
Twice the number = 2xy + 48
Now 2xy is completely divisible by x.
On dividing 48 by x remainder is x
∴ x = 48 - 11
= 37
Explore Courses for SSC CGL exam

Top Courses for SSC CGL

A number when divided by a divisor leaves remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor ?a)13b)59c)35d)37Correct answer is option 'D'. Can you explain this answer?
Question Description
A number when divided by a divisor leaves remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor ?a)13b)59c)35d)37Correct answer is option 'D'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A number when divided by a divisor leaves remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor ?a)13b)59c)35d)37Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number when divided by a divisor leaves remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor ?a)13b)59c)35d)37Correct answer is option 'D'. Can you explain this answer?.
Solutions for A number when divided by a divisor leaves remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor ?a)13b)59c)35d)37Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL. Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
Here you can find the meaning of A number when divided by a divisor leaves remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor ?a)13b)59c)35d)37Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A number when divided by a divisor leaves remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor ?a)13b)59c)35d)37Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A number when divided by a divisor leaves remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor ?a)13b)59c)35d)37Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A number when divided by a divisor leaves remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor ?a)13b)59c)35d)37Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A number when divided by a divisor leaves remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor ?a)13b)59c)35d)37Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
Explore Courses for SSC CGL exam

Top Courses for SSC CGL

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