**Concept: The question tests on the basics of Number Properties(Remainder Factor)**

**Solution:**

Every 43 on dividing by 5 leaves a negative remainder of -2

(Approach to get a 1 or -1 in the numerator in remainder questions to reduce investment of time)

=> (43)^86/5 ----> (-2)^86 / 5

= ((-2)^4)^21 x -2 x -2 /5

=> (1)^21 x 4 / 5 (Every 16 leaves a remainder of 1 on dividing with 5)

=> 4/5 -----> -1 as remainder = 5-1 = +4 as the positive remainder

**(option e)**