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The six digit number 98113A is divisible by 9 where A is a single digit whole number. The least value of A is ? a. 3 b. 4 c. 5. d. 6?
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The six digit number 98113A is divisible by 9 where A is a single digi...
**Problem Analysis**
To determine the least value of A, we need to find the value that makes the six-digit number 98113A divisible by 9.
**Divisibility Rule for 9**
A number is divisible by 9 if the sum of its digits is divisible by 9.
**Solution**
To find the least value of A that makes 98113A divisible by 9, we need to find the sum of the digits of the number.
**Sum of Digits**
The sum of the digits in the number 98113A is:
9 + 8 + 1 + 1 + 3 + A = 22 + A
**Divisibility Test**
To determine if the sum of the digits is divisible by 9, we need to test different values of A.
- If A = 3, then the sum of the digits is 22 + 3 = 25, which is not divisible by 9.
- If A = 4, then the sum of the digits is 22 + 4 = 26, which is not divisible by 9.
- If A = 5, then the sum of the digits is 22 + 5 = 27, which is divisible by 9.
- If A = 6, then the sum of the digits is 22 + 6 = 28, which is not divisible by 9.
**Conclusion**
The least value of A that makes the six-digit number 98113A divisible by 9 is A = 5. Hence, the correct answer is option c.
To determine the least value of A, we need to find the value that makes the six-digit number 98113A divisible by 9.
**Divisibility Rule for 9**
A number is divisible by 9 if the sum of its digits is divisible by 9.
**Solution**
To find the least value of A that makes 98113A divisible by 9, we need to find the sum of the digits of the number.
**Sum of Digits**
The sum of the digits in the number 98113A is:
9 + 8 + 1 + 1 + 3 + A = 22 + A
**Divisibility Test**
To determine if the sum of the digits is divisible by 9, we need to test different values of A.
- If A = 3, then the sum of the digits is 22 + 3 = 25, which is not divisible by 9.
- If A = 4, then the sum of the digits is 22 + 4 = 26, which is not divisible by 9.
- If A = 5, then the sum of the digits is 22 + 5 = 27, which is divisible by 9.
- If A = 6, then the sum of the digits is 22 + 6 = 28, which is not divisible by 9.
**Conclusion**
The least value of A that makes the six-digit number 98113A divisible by 9 is A = 5. Hence, the correct answer is option c.
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The six digit number 98113A is divisible by 9 where A is a single digit whole number. The least value of A is ? a. 3 b. 4 c. 5. d. 6?
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The six digit number 98113A is divisible by 9 where A is a single digit whole number. The least value of A is ? a. 3 b. 4 c. 5. d. 6? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The six digit number 98113A is divisible by 9 where A is a single digit whole number. The least value of A is ? a. 3 b. 4 c. 5. d. 6? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The six digit number 98113A is divisible by 9 where A is a single digit whole number. The least value of A is ? a. 3 b. 4 c. 5. d. 6?.
The six digit number 98113A is divisible by 9 where A is a single digit whole number. The least value of A is ? a. 3 b. 4 c. 5. d. 6? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The six digit number 98113A is divisible by 9 where A is a single digit whole number. The least value of A is ? a. 3 b. 4 c. 5. d. 6? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The six digit number 98113A is divisible by 9 where A is a single digit whole number. The least value of A is ? a. 3 b. 4 c. 5. d. 6?.
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