A number when divided by 133 gives a remainder of 49. What is the remainder when the number is divided by 7?
Question
A number when divided by 133 gives a remainder of 49. What is the remainder when the number is divided by 7?
Solution
The remainder when a number is divided by 133 is 49. This means that the number is 49 more than a multiple of 133.
Since 133 is a multiple of 7 (as 133 = 7*19), any multiple of 133 will also be a multiple of 7.
Therefore, when we add 49 (which gives a remainder of 0 when divided by 7) to a multiple of 133, the remainder when this number is divided by 7 will still be 0.
So, the remainder when the number is divided by 7 is 0.
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