Discussion
A number when divided by 296 gives a remainder of 75. When the same number is divided by 37, what is the remainder?
Answer: A
Let the number be N. We have N = 296k + 75. We need to find N mod 37. First, check if the first divisor (296) is a multiple of the second divisor (37). \(296 = 37 \times 8\). Yes, it is. In this case, the new remainder is simply the old remainder divided by the new divisor. So, we find the remainder of \(75 \div 37\). \(75 = 2 \times 37 + 1\). The remainder is 1.
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