Multiple choice

A number when divided by 779 gives 47 as the remainder. On dividing the same number by 19, what would be the remainder?

  1. 0

  2. 3

  3. 9

  4. 10
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

If a number N = 779 * q + 47, we want N mod 19. Since 779 = 19 * 41, 779 is divisible by 19. Thus, N mod 19 = 47 mod 19. 47 = 19 * 2 + 9. The remainder is 9.

AI explanation

Let the unknown number be represented as (779q + 47). When this number is divided by 19, the expression becomes ((779q)/19) + (47/19). Since 779 is exactly divisible by 19, the first term leaves no remainder, leaving only the remainder of 47 divided by 19. Dividing 47 by 19 gives a quotient of 2 and a remainder of 9, making the final remainder 9.

Keep practicing — related questions