Multiple choice

After the division of a number successively by 3, 4 and 7, the remainders obtained are 2, 1 and 4 respectively. What will be the remainder if 84 divides the same number?

  1. 80

  2. 75

  3. 41

  4. 53

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Number N = 3(4(7k + 4) + 1) + 2 = 3(28k + 16 + 1) + 2 = 3(28k + 17) + 2 = 84k + 51 + 2 = 84k + 53. Dividing by 84 gives a remainder of 53.