Multiple choice

When a number is divided by $893$ the remainder is $193$. What will be the remainder when it is divided by $47?$

  1. $3$
  2. $5$
  3. $25$
  4. $33$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

If a number N = 893 * q + 193, then N = (19 * 47) * q + (4 * 47 + 5). Thus, N = 47 * (19q + 4) + 5. The remainder when divided by 47 is 5.

AI explanation

Let the number be N, so we can write N = 893k + 193 for some integer k. Since 893 is exactly divisible by 47 (as 893 = 47 * 19), the first term 893k leaves a remainder of 0 when divided by 47. Dividing 193 by 47 gives a quotient of 4 and a remainder of 5. Therefore, the required remainder is 5.

Keep practicing — related questions