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When the positive number n is divided by 9 the remainder is 7 what is the remainder when 5n is divided by 9?
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When the positive number n is divided by 9 the remainder is 7 what is ...
Explanation:
Given:
When the positive number n is divided by 9, the remainder is 7.
Let's solve it step by step:
Finding the value of n:
- When n is divided by 9, the remainder is 7.
- This can be represented as n = 9a + 7, where 'a' is a non-negative integer.
- This equation shows that n is of the form 9a + 7.
Finding the value of 5n:
- To find the remainder when 5n is divided by 9, we need to first find the value of 5n.
- Substituting the value of n in the equation 5n, we get: 5(9a + 7) = 45a + 35.
- This equation shows that 5n is of the form 45a + 35.
Remainder when 5n is divided by 9:
- To find the remainder when 5n is divided by 9, we need to divide 45a + 35 by 9.
- We know that when 45a is divided by 9, the remainder is 0 (since 45 is divisible by 9).
- So, the remainder when 45a + 35 is divided by 9 is the same as the remainder when 35 is divided by 9.
- 35 ÷ 9 gives a quotient of 3 and a remainder of 8.
- Therefore, the remainder when 5n is divided by 9 is 8.
Conclusion:
The remainder when 5n is divided by 9 is 8.
Given:
When the positive number n is divided by 9, the remainder is 7.
Let's solve it step by step:
Finding the value of n:
- When n is divided by 9, the remainder is 7.
- This can be represented as n = 9a + 7, where 'a' is a non-negative integer.
- This equation shows that n is of the form 9a + 7.
Finding the value of 5n:
- To find the remainder when 5n is divided by 9, we need to first find the value of 5n.
- Substituting the value of n in the equation 5n, we get: 5(9a + 7) = 45a + 35.
- This equation shows that 5n is of the form 45a + 35.
Remainder when 5n is divided by 9:
- To find the remainder when 5n is divided by 9, we need to divide 45a + 35 by 9.
- We know that when 45a is divided by 9, the remainder is 0 (since 45 is divisible by 9).
- So, the remainder when 45a + 35 is divided by 9 is the same as the remainder when 35 is divided by 9.
- 35 ÷ 9 gives a quotient of 3 and a remainder of 8.
- Therefore, the remainder when 5n is divided by 9 is 8.
Conclusion:
The remainder when 5n is divided by 9 is 8.
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When the positive number n is divided by 9 the remainder is 7 what is the remainder when 5n is divided by 9?
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When the positive number n is divided by 9 the remainder is 7 what is the remainder when 5n is divided by 9? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about When the positive number n is divided by 9 the remainder is 7 what is the remainder when 5n is divided by 9? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When the positive number n is divided by 9 the remainder is 7 what is the remainder when 5n is divided by 9?.
When the positive number n is divided by 9 the remainder is 7 what is the remainder when 5n is divided by 9? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about When the positive number n is divided by 9 the remainder is 7 what is the remainder when 5n is divided by 9? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When the positive number n is divided by 9 the remainder is 7 what is the remainder when 5n is divided by 9?.
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