Class 6 Exam > Class 6 Questions > What is the Kaprekar constant for 4-digit num...
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What is the Kaprekar constant for 4-digit numbers?
- a)495
- b)6174
- c)8127
- d)8372
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What is the Kaprekar constant for 4-digit numbers?a)495b)6174c)8127d)8...
The Kaprekar constant for 4-digit numbers is 6174. No matter what 4-digit number you start with, if you repeat the steps of arranging digits in descending and ascending order, subtracting the smaller from the larger, you will eventually reach 6174.
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Most Upvoted Answer
What is the Kaprekar constant for 4-digit numbers?a)495b)6174c)8127d)8...
Explanation:
Kaprekar constant for 4-digit numbers:
The Kaprekar constant for 4-digit numbers is 6174.
Explanation:
- Take any 4-digit number (different digits) and arrange the digits in ascending and descending order to get two 4-digit numbers.
- Subtract the smaller number from the larger number and repeat the process with the result.
- After a few iterations, you will always end up with the number 6174.
- This number is known as the Kaprekar constant for 4-digit numbers.
Example:
Let's take the number 3524.
- Arrange the digits in ascending order: 2345
- Arrange the digits in descending order: 5432
- Subtract the smaller number from the larger number: 5432 - 2345 = 3087
- Repeat the process: 8730 - 0378 = 8352
- Repeat again: 8532 - 2358 = 6174
Conclusion:
No matter which 4-digit number you start with, the process will eventually lead to the Kaprekar constant 6174.
Kaprekar constant for 4-digit numbers:
The Kaprekar constant for 4-digit numbers is 6174.
Explanation:
- Take any 4-digit number (different digits) and arrange the digits in ascending and descending order to get two 4-digit numbers.
- Subtract the smaller number from the larger number and repeat the process with the result.
- After a few iterations, you will always end up with the number 6174.
- This number is known as the Kaprekar constant for 4-digit numbers.
Example:
Let's take the number 3524.
- Arrange the digits in ascending order: 2345
- Arrange the digits in descending order: 5432
- Subtract the smaller number from the larger number: 5432 - 2345 = 3087
- Repeat the process: 8730 - 0378 = 8352
- Repeat again: 8532 - 2358 = 6174
Conclusion:
No matter which 4-digit number you start with, the process will eventually lead to the Kaprekar constant 6174.
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What is the Kaprekar constant for 4-digit numbers?a)495b)6174c)8127d)8372Correct answer is option 'B'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about What is the Kaprekar constant for 4-digit numbers?a)495b)6174c)8127d)8372Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the Kaprekar constant for 4-digit numbers?a)495b)6174c)8127d)8372Correct answer is option 'B'. Can you explain this answer?.
What is the Kaprekar constant for 4-digit numbers?a)495b)6174c)8127d)8372Correct answer is option 'B'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about What is the Kaprekar constant for 4-digit numbers?a)495b)6174c)8127d)8372Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the Kaprekar constant for 4-digit numbers?a)495b)6174c)8127d)8372Correct answer is option 'B'. Can you explain this answer?.
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