A number when divided by 296 gives a remainder 75. The remainder when the same number is divided by 37 is
Question
Solution
The number when divided by 296 gives a remainder of 75. This means the number is in the form of 296k + 75, where k is the quotient.
Now, we need to find the remainder when this number is divided by 37.
We know that 296 is a multiple of 37. In fact, 296 = 37 * 8.
So, we can rewrite the number as (37 * 8k) + 75.
When this number is divided by 37, the first term (37 * 8k) will not leave a remainder because it is a multiple of 37.
So, the remainder will be the remainder when 75 is divided by 37.
When 75 is divided by 37, the remainder is 1.
So, the remainder when the original number is divided by 37 is 1.
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