Multiple choice

A number when divided by 221 gives a remainder 43. What remainder will be obtained by dividing the same number by 17?

  1. 9

  2. 8

  3. 7

  4. 5
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the number be N = 221 * Q + 43. We want to find the remainder when N is divided by 17. Since 221 = 17 * 13, 221 * Q is divisible by 17. Thus, the remainder is the same as the remainder of 43 divided by 17. 43 = 17 * 2 + 9. The remainder is 9.

AI explanation

Express the unknown number as N equals 221k plus 43, where k is an integer. Since 221 is the product of 13 and 17, the term 221k is completely divisible by 17. Divide the remainder 43 by 17 to find the final remainder, which gives a quotient of 2 and a remainder of 9.

Keep practicing — related questions