Multiple choice

A number when divided by $259$ leaves a remainder $139$. What will be the remainder when the same number is divided by $37$?

  1. $28$
  2. $29$
  3. $30$
  4. $31$
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A Correct answer
Explanation

If a number N = 259q + 139, then N = (37 * 7)q + (37 * 3 + 28). N = 37(7q + 3) + 28. The remainder when divided by 37 is 28.

AI explanation

Let the number be 259k + 139, where k is an integer. Since 259 is completely divisible by 37, dividing the entire expression by 37 leaves only the remainder from dividing 139 by 37. Dividing 139 by 37 gives a quotient of 3 and a remainder of 28, since 3 times 37 is 111 and 139 minus 111 is 28.

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