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A number when divided by 2567, gives a remainder of 147. If the same number is divided by 17, then what will be the remainder?
Correct answer is '11'. Can you explain this answer?
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A number when divided by 2567, gives a remainder of 147. If the same ...
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Dividend = (Quotient × Divisor) + Remainder
Let the quotient is k.
Dividend = 2567k + 147
When the number is divided by 17.
(2567k + 147/17) = 151k + (147/17)
While solving we get quotient as 8 and remainder = 11
∴ The required remainder is 11.
Hence, the correct answer is 11.
Most Upvoted Answer
A number when divided by 2567, gives a remainder of 147. If the same ...
Given Information:
- A number when divided by 2567 gives a remainder of 147.
- We need to find the remainder when the same number is divided by 17.
Approach:
- To find the remainder when a number is divided by another number, we will use the concept of modular arithmetic.
- Modular arithmetic deals with the remainders when one number is divided by another number.
Modular Arithmetic:
- In modular arithmetic, we use the symbol "%" to represent the remainder when one number is divided by another number.
- For example, 7 % 3 = 1, which means when 7 is divided by 3, the remainder is 1.
Calculating the Remainder:
- Let's assume the number we are given is "x".
- According to the given information, when "x" is divided by 2567, the remainder is 147.
- We can write this as: x % 2567 = 147.
- Now, we need to find the remainder when "x" is divided by 17.
- We can use the concept of modular arithmetic to calculate this.
- We know that 2567 is a multiple of 17 (2567 = 17 * 151).
- Therefore, when "x" is divided by 17, the remainder will be the same as when it is divided by 2567.
- So, the remainder when "x" is divided by 17 is also 147.
Answer:
- The remainder when the number is divided by 17 is 147.
- A number when divided by 2567 gives a remainder of 147.
- We need to find the remainder when the same number is divided by 17.
Approach:
- To find the remainder when a number is divided by another number, we will use the concept of modular arithmetic.
- Modular arithmetic deals with the remainders when one number is divided by another number.
Modular Arithmetic:
- In modular arithmetic, we use the symbol "%" to represent the remainder when one number is divided by another number.
- For example, 7 % 3 = 1, which means when 7 is divided by 3, the remainder is 1.
Calculating the Remainder:
- Let's assume the number we are given is "x".
- According to the given information, when "x" is divided by 2567, the remainder is 147.
- We can write this as: x % 2567 = 147.
- Now, we need to find the remainder when "x" is divided by 17.
- We can use the concept of modular arithmetic to calculate this.
- We know that 2567 is a multiple of 17 (2567 = 17 * 151).
- Therefore, when "x" is divided by 17, the remainder will be the same as when it is divided by 2567.
- So, the remainder when "x" is divided by 17 is also 147.
Answer:
- The remainder when the number is divided by 17 is 147.
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A number when divided by 2567, gives a remainder of 147. If the same number is divided by 17, then what will be the remainder?Correct answer is '11'. Can you explain this answer?
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A number when divided by 2567, gives a remainder of 147. If the same number is divided by 17, then what will be the remainder?Correct answer is '11'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A number when divided by 2567, gives a remainder of 147. If the same number is divided by 17, then what will be the remainder?Correct answer is '11'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number when divided by 2567, gives a remainder of 147. If the same number is divided by 17, then what will be the remainder?Correct answer is '11'. Can you explain this answer?.
A number when divided by 2567, gives a remainder of 147. If the same number is divided by 17, then what will be the remainder?Correct answer is '11'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A number when divided by 2567, gives a remainder of 147. If the same number is divided by 17, then what will be the remainder?Correct answer is '11'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number when divided by 2567, gives a remainder of 147. If the same number is divided by 17, then what will be the remainder?Correct answer is '11'. Can you explain this answer?.
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