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
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.
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