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There is 6-digit number in which the first and fourth digit from first are same, second and fifth number are same from first and third and sixth number are same from first .Then the number will always be -
a) divisible by 5. b) a odd number
c) square digit. d) divisible by 11?
a) divisible by 5. b) a odd number
c) square digit. d) divisible by 11?
Most Upvoted Answer
There is 6-digit number in which the first and fourth digit from first...
Understanding the 6-Digit Number Structure
The 6-digit number can be represented as ABCABC, where:
- A = first and fourth digit
- B = second and fifth digit
- C = third and sixth digit
This makes our number structured as A B C A B C.
Analysis of Options
• Divisibility by 5
- A number is divisible by 5 if it ends with 0 or 5.
- In our case, the last digit (C) determines this trait.
- Since C can be any digit from 0 to 9, the number is not guaranteed to be divisible by 5.
• Odd Number
- A number is odd if its last digit is odd (1, 3, 5, 7, 9).
- Again, C can be any digit, making it possible for the number to be odd or even.
- Therefore, it is not guaranteed to be an odd number.
• Square Digit
- Square digits are 0, 1, 4, 9.
- Since A, B, and C can be any digits, the entire number is not guaranteed to consist of square digits.
• Divisibility by 11
- A number is divisible by 11 if the difference between the sum of its digits in odd positions and the sum in even positions is either 0 or a multiple of 11.
- The sum of odd positions: A + C + B
- The sum of even positions: B + A + C
- The difference: (A + C + B) - (B + A + C) = 0, which is a multiple of 11.
Conclusion
The only option that holds true for all cases is that the number is always divisible by 11.
The 6-digit number can be represented as ABCABC, where:
- A = first and fourth digit
- B = second and fifth digit
- C = third and sixth digit
This makes our number structured as A B C A B C.
Analysis of Options
• Divisibility by 5
- A number is divisible by 5 if it ends with 0 or 5.
- In our case, the last digit (C) determines this trait.
- Since C can be any digit from 0 to 9, the number is not guaranteed to be divisible by 5.
• Odd Number
- A number is odd if its last digit is odd (1, 3, 5, 7, 9).
- Again, C can be any digit, making it possible for the number to be odd or even.
- Therefore, it is not guaranteed to be an odd number.
• Square Digit
- Square digits are 0, 1, 4, 9.
- Since A, B, and C can be any digits, the entire number is not guaranteed to consist of square digits.
• Divisibility by 11
- A number is divisible by 11 if the difference between the sum of its digits in odd positions and the sum in even positions is either 0 or a multiple of 11.
- The sum of odd positions: A + C + B
- The sum of even positions: B + A + C
- The difference: (A + C + B) - (B + A + C) = 0, which is a multiple of 11.
Conclusion
The only option that holds true for all cases is that the number is always divisible by 11.
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There is 6-digit number in which the first and fourth digit from first are same, second and fifth number are same from first and third and sixth number are same from first .Then the number will always be -a) divisible by 5. b) a odd number c) square digit. d) divisible by 11?
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There is 6-digit number in which the first and fourth digit from first are same, second and fifth number are same from first and third and sixth number are same from first .Then the number will always be -a) divisible by 5. b) a odd number c) square digit. d) divisible by 11? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about There is 6-digit number in which the first and fourth digit from first are same, second and fifth number are same from first and third and sixth number are same from first .Then the number will always be -a) divisible by 5. b) a odd number c) square digit. d) divisible by 11? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There is 6-digit number in which the first and fourth digit from first are same, second and fifth number are same from first and third and sixth number are same from first .Then the number will always be -a) divisible by 5. b) a odd number c) square digit. d) divisible by 11?.
There is 6-digit number in which the first and fourth digit from first are same, second and fifth number are same from first and third and sixth number are same from first .Then the number will always be -a) divisible by 5. b) a odd number c) square digit. d) divisible by 11? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about There is 6-digit number in which the first and fourth digit from first are same, second and fifth number are same from first and third and sixth number are same from first .Then the number will always be -a) divisible by 5. b) a odd number c) square digit. d) divisible by 11? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There is 6-digit number in which the first and fourth digit from first are same, second and fifth number are same from first and third and sixth number are same from first .Then the number will always be -a) divisible by 5. b) a odd number c) square digit. d) divisible by 11?.
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