Class 8 Exam > Class 8 Questions > Which of the following numbers is divisible b... Start Learning for Free
Which of the following numbers is divisible by 11?
- a)1001
- b)1234
- c)2456
- d)3246
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Which of the following numbers is divisible by 11?a)1001b)1234c)2456d)...
Divisiblity Rule: A number is divisible by 11 if the difference between the sum of its digits in odd positions and the sum of its digits in even positions is divisible by 11 (including 0).
For Option A:
(1+0) – (0+1) = 0, divisible by 11 → so 1001 is divisible by 11.
For Option A:
(1+0) – (0+1) = 0, divisible by 11 → so 1001 is divisible by 11.
So, Correct option: A
Free Test
FREE
| Start Free Test |
Community Answer
Which of the following numbers is divisible by 11?a)1001b)1234c)2456d)...
Understanding Divisibility by 11
To determine if a number is divisible by 11, you can use the divisibility rule for 11. This rule states that a number is divisible by 11 if the difference between the sum of its digits in odd positions and the sum of its digits in even positions is either 0 or a multiple of 11.
Step-by-Step Analysis of Each Option
1. Option A: 1001
- Odd position digits: 1 (1st) + 0 (3rd) = 1
- Even position digits: 0 (2nd) + 1 (4th) = 1
- Difference: |1 - 1| = 0
- Since 0 is divisible by 11, 1001 is divisible by 11.
2. Option B: 1234
- Odd position digits: 1 (1st) + 3 (3rd) = 4
- Even position digits: 2 (2nd) + 4 (4th) = 6
- Difference: |4 - 6| = 2
- 2 is not divisible by 11, so 1234 is not divisible by 11.
3. Option C: 2456
- Odd position digits: 2 (1st) + 5 (3rd) = 7
- Even position digits: 4 (2nd) + 6 (4th) = 10
- Difference: |7 - 10| = 3
- 3 is not divisible by 11, so 2456 is not divisible by 11.
4. Option D: 3246
- Odd position digits: 3 (1st) + 4 (3rd) = 7
- Even position digits: 2 (2nd) + 6 (4th) = 8
- Difference: |7 - 8| = 1
- 1 is not divisible by 11, so 3246 is not divisible by 11.
Conclusion
Based on the analysis, the only number among the options that is divisible by 11 is 1001.
To determine if a number is divisible by 11, you can use the divisibility rule for 11. This rule states that a number is divisible by 11 if the difference between the sum of its digits in odd positions and the sum of its digits in even positions is either 0 or a multiple of 11.
Step-by-Step Analysis of Each Option
1. Option A: 1001
- Odd position digits: 1 (1st) + 0 (3rd) = 1
- Even position digits: 0 (2nd) + 1 (4th) = 1
- Difference: |1 - 1| = 0
- Since 0 is divisible by 11, 1001 is divisible by 11.
2. Option B: 1234
- Odd position digits: 1 (1st) + 3 (3rd) = 4
- Even position digits: 2 (2nd) + 4 (4th) = 6
- Difference: |4 - 6| = 2
- 2 is not divisible by 11, so 1234 is not divisible by 11.
3. Option C: 2456
- Odd position digits: 2 (1st) + 5 (3rd) = 7
- Even position digits: 4 (2nd) + 6 (4th) = 10
- Difference: |7 - 10| = 3
- 3 is not divisible by 11, so 2456 is not divisible by 11.
4. Option D: 3246
- Odd position digits: 3 (1st) + 4 (3rd) = 7
- Even position digits: 2 (2nd) + 6 (4th) = 8
- Difference: |7 - 8| = 1
- 1 is not divisible by 11, so 3246 is not divisible by 11.
Conclusion
Based on the analysis, the only number among the options that is divisible by 11 is 1001.
 | Explore Courses for Class 8 exam |  |
Top Courses for Class 8View all
Top Courses for Class 8
Question Description
Which of the following numbers is divisible by 11?a)1001b)1234c)2456d)3246Correct answer is option 'A'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Which of the following numbers is divisible by 11?a)1001b)1234c)2456d)3246Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following numbers is divisible by 11?a)1001b)1234c)2456d)3246Correct answer is option 'A'. Can you explain this answer?.
Which of the following numbers is divisible by 11?a)1001b)1234c)2456d)3246Correct answer is option 'A'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Which of the following numbers is divisible by 11?a)1001b)1234c)2456d)3246Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following numbers is divisible by 11?a)1001b)1234c)2456d)3246Correct answer is option 'A'. Can you explain this answer?.
Solutions for Which of the following numbers is divisible by 11?a)1001b)1234c)2456d)3246Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 8. Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of Which of the following numbers is divisible by 11?a)1001b)1234c)2456d)3246Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Which of the following numbers is divisible by 11?a)1001b)1234c)2456d)3246Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Which of the following numbers is divisible by 11?a)1001b)1234c)2456d)3246Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Which of the following numbers is divisible by 11?a)1001b)1234c)2456d)3246Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Which of the following numbers is divisible by 11?a)1001b)1234c)2456d)3246Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 8 tests.
| Explore Courses for Class 8 exam | |
Top Courses for Class 8
Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
