Select the correct answerA certain number when divided by 45 leaves a remainder 31. What is the remainder if the same number be divided by 15?Options1311951
Question
Select the correct answerA certain number when divided by 45 leaves a remainder 31. What is the remainder if the same number be divided by 15?Options1311951
Solution
The remainder when the number is divided by 45 is 31. This means the number is of the form 45n + 31, where n is some integer.
We need to find the remainder when this number is divided by 15.
We can rewrite the number as follows: 45n + 31 = 15(3n) + 31.
When we divide this by 15, the 15(3n) part will divide evenly because 15 is a factor.
So, we only need to consider the remainder when 31 is divided by 15.
When we divide 31 by 15, we get a quotient of 2 and a remainder of 1.
So, the remainder when the original number is divided by 15 is 1.
Therefore, the correct answer is 1.
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