The remainder when 7^{84} is divided by 342 is

- 0
- 1
- 49
- 341

**Answer**

7^{3} = 343 = 342+1

7^{84} = 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 = 7^{3}

x^{28}/(x-1)

f(x) = x^{28}

Remainder will be (1)^{28}

**The correct option is B.**