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A number when divided by 296 give remainder 75 when the same number is divided by 37 the remainder will be what?
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A number when divided by 296 give remainder 75 when the same number is...
- **Given Information**
A number when divided by 296 gives a remainder of 75.
- **Calculating the Number**
Let's assume the number is x. According to the given information, we can write:
x = 296a + 75, where 'a' is the quotient when x is divided by 296.
- **Finding the Quotient**
To find 'a', we rearrange the equation:
a = (x - 75) / 296
- **Applying the New Quotient**
Now, we need to find the remainder when this number (x) is divided by 37. Let's substitute the value of x from the first equation into the new quotient equation:
a = (296a + 75 - 75) / 296
a = 296a / 296
a = a
- **Remainder when x is divided by 37**
Since 'a' can be any integer value, the remainder when x is divided by 37 will be the same as the remainder when 'a' is divided by 37.
Hence, the remainder will be 0 when the number is divided by 37.
- **Conclusion**
Therefore, when the number is divided by 37, the remainder will be 0.
A number when divided by 296 gives a remainder of 75.
- **Calculating the Number**
Let's assume the number is x. According to the given information, we can write:
x = 296a + 75, where 'a' is the quotient when x is divided by 296.
- **Finding the Quotient**
To find 'a', we rearrange the equation:
a = (x - 75) / 296
- **Applying the New Quotient**
Now, we need to find the remainder when this number (x) is divided by 37. Let's substitute the value of x from the first equation into the new quotient equation:
a = (296a + 75 - 75) / 296
a = 296a / 296
a = a
- **Remainder when x is divided by 37**
Since 'a' can be any integer value, the remainder when x is divided by 37 will be the same as the remainder when 'a' is divided by 37.
Hence, the remainder will be 0 when the number is divided by 37.
- **Conclusion**
Therefore, when the number is divided by 37, the remainder will be 0.
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A number when divided by 296 give remainder 75 when the same number is divided by 37 the remainder will be what?
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A number when divided by 296 give remainder 75 when the same number is divided by 37 the remainder will be what? 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 A number when divided by 296 give remainder 75 when the same number is divided by 37 the remainder will be what? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number when divided by 296 give remainder 75 when the same number is divided by 37 the remainder will be what?.
A number when divided by 296 give remainder 75 when the same number is divided by 37 the remainder will be what? 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 A number when divided by 296 give remainder 75 when the same number is divided by 37 the remainder will be what? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number when divided by 296 give remainder 75 when the same number is divided by 37 the remainder will be what?.
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