Remainders

The remainder when 784 is divided by 342 is

  1. 0
  2. 1
  3. 49
  4. 341

Answer

73 = 343 = 342+1

784 = 7(3*28)

7(3*28)/(73-1)

Apply remainder theorem: When f(x) is divided by (x-1), remainder is f(1).

Take x = 343 = 73

x28/(x-1)

f(x) = x28
 
Remainder will be (1)28

The correct option is B.