The remainder when 7^84 is divided by 342 is

• 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.