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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?

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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.

This problem has been solved

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