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A number when divided by 296 gives a remainder 75. The remainder when the same number is divided by 37 is

Question

A number when divided by 296 gives a remainder 75. The remainder when the same number is divided by 37 is

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Solution

The number when divided by 296 gives a remainder of 75. This means the number is of the form 296k + 75, where k is the quotient.

Now, we need to find the remainder when this number is divided by 37.

We can rewrite 296 as 378. So, the number can be rewritten as (378k) + 75.

When this number is divided by 37, the remainder will be the remainder of 75 divided by 37.

75 divided by 37 gives a quotient of 2 and a remainder of 1.

So, the remainder when the same number is divided by 37 is 1.

This problem has been solved

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