A number is multiplied by 5 and 25 is added to it.The result is divide...
To solve this problem, let's assume the original number as 'x'.
1. Multiplication and Addition:
The number is multiplied by 5, so the result becomes 5x. Then, 25 is added to it, making it 5x + 25.
2. Division and Subtraction:
The result obtained from step 1 is divided by 5, so we get (5x + 25) / 5. Now, we subtract the original number 'x' from this result. Thus, the final expression becomes (5x + 25) / 5 - x.
3. Simplifying the Expression:
To simplify this expression, let's first distribute the division operation over the subtraction.
(5x + 25) / 5 - x = (5x + 25) / 5 - (5x / 5) = (5x + 25) / 5 - x = (5x + 25 - 5x) / 5 - x = 25 / 5 - x = 5 - x
4. Finding the Remainder:
Now, we have the expression 5 - x. To find the remainder, we substitute 'x' with different values and see which one satisfies the condition.
If we substitute x = 5, then the expression becomes 5 - 5 = 0, which is not the remainder mentioned in the options.
If we substitute x = 0, then the expression becomes 5 - 0 = 5, which matches with the option C.
Therefore, when the original number 'x' is equal to 0, the remainder is 5. Hence, the correct answer is option C.
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