Multiple choice

A certain number when divided by 899 gives a remainder of 63. What is the remainder when the number is divided by 29?

  1. 4

  2. 5

  3. 6

  4. 11

  5. 23
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

If a number N = 899q + 63, then N = (31 * 29)q + (29 * 2 + 5). Since 899 is divisible by 29, the remainder when N is divided by 29 is the same as the remainder when 63 is divided by 29. 63 = 29 * 2 + 5.

AI explanation

Let the number be N, so we can write N as 899q plus 63, where q is the quotient. Because 899 is exactly divisible by 29, the remainder of N divided by 29 depends entirely on dividing the remainder 63 by 29. Performing the division, 63 equals 29 multiplied by 2 plus a remainder of 5. The remainder when the number is divided by 29 is 5.

Keep practicing — related questions