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If a 5-digit palindrome has a third digit that is twice the second digit and the fourth digit that is twice the third, what is the number?
- a)13531
- b)24642
- c)10001
- d)25752
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If a 5-digit palindrome has a third digit that is twice the second dig...
The number 14641 is a 5-digit palindrome where the third digit (6) is twice the second digit (3), and the fourth digit (4) is twice the third digit (6).
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If a 5-digit palindrome has a third digit that is twice the second dig...
Explanation:
Given conditions:
- The number is a 5-digit palindrome.
- The third digit is twice the second digit.
- The fourth digit is twice the third digit.
Steps to find the number:
1. Let's assume the palindrome number is abcba, where a, b, c are digits.
2. Since it is a palindrome number, a = a (the first and last digits are the same).
3. The third digit is twice the second digit, so c = 2b.
4. The fourth digit is twice the third digit, so b = 2c = 4b (substitute c = 2b).
5. From step 4, we get b = 0 which is not possible as b is a digit from 1 to 9.
6. Hence, the assumption made in step 1 is incorrect.
7. Let's try another assumption where the number is abccba.
8. Using the conditions:
- a = a (first and last digits are the same)
- c = 2b (the third digit is twice the second digit)
- c = 2c = 4b (the fourth digit is twice the third digit)
9. From the above conditions, we get b = 1 and c = 2.
10. Therefore, the number is 14641.
So, the correct answer is option C) 14641.
Given conditions:
- The number is a 5-digit palindrome.
- The third digit is twice the second digit.
- The fourth digit is twice the third digit.
Steps to find the number:
1. Let's assume the palindrome number is abcba, where a, b, c are digits.
2. Since it is a palindrome number, a = a (the first and last digits are the same).
3. The third digit is twice the second digit, so c = 2b.
4. The fourth digit is twice the third digit, so b = 2c = 4b (substitute c = 2b).
5. From step 4, we get b = 0 which is not possible as b is a digit from 1 to 9.
6. Hence, the assumption made in step 1 is incorrect.
7. Let's try another assumption where the number is abccba.
8. Using the conditions:
- a = a (first and last digits are the same)
- c = 2b (the third digit is twice the second digit)
- c = 2c = 4b (the fourth digit is twice the third digit)
9. From the above conditions, we get b = 1 and c = 2.
10. Therefore, the number is 14641.
So, the correct answer is option C) 14641.
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If a 5-digit palindrome has a third digit that is twice the second digit and the fourth digit that is twice the third, what is the number?a)13531b)24642c)10001d)25752Correct answer is option 'C'. 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 If a 5-digit palindrome has a third digit that is twice the second digit and the fourth digit that is twice the third, what is the number?a)13531b)24642c)10001d)25752Correct answer is option 'C'. 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 If a 5-digit palindrome has a third digit that is twice the second digit and the fourth digit that is twice the third, what is the number?a)13531b)24642c)10001d)25752Correct answer is option 'C'. Can you explain this answer?.
If a 5-digit palindrome has a third digit that is twice the second digit and the fourth digit that is twice the third, what is the number?a)13531b)24642c)10001d)25752Correct answer is option 'C'. 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 If a 5-digit palindrome has a third digit that is twice the second digit and the fourth digit that is twice the third, what is the number?a)13531b)24642c)10001d)25752Correct answer is option 'C'. 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 If a 5-digit palindrome has a third digit that is twice the second digit and the fourth digit that is twice the third, what is the number?a)13531b)24642c)10001d)25752Correct answer is option 'C'. Can you explain this answer?.
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