Discussion

A number when divided by 296 gives a remainder of 75. When the same number is divided by 37, the remainder is:

Answer: A

Let the number be N. N = 296k + 75.

We need to find the remainder when N is divided by 37.

First, check if 296 is divisible by 37. \(296 = 37 \times 8\).

Since the first divisor is a multiple of the second divisor, we can simply divide the first remainder by the second divisor.

Remainder = \(75 \div 37\).

\(75 = 2 \times 37 + 1\).

The remainder is 1.

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