What is the remainder when P is divided by 8 if 6 is a factor of P?
1. The digit in the unit's place of P^2 is 4
if
P = 6, unit's place of P^2 = 6
P = 12, unit's place of P^2 = 4
P = 18, unit's place of P^2 = 4
P = 24, unit's place of P^2 = 6
P = 30, unit's place of P^2 = 0
p =12,18 satisfy the condition and p/8 leaves 4,2 as remainders respectively. Insufficient!
2. The unit's digit in P^4 is 6
if
P = 6, unit's place of P^4 = 6
P = 12, unit's place of P^4 = 6
P = 18, unit's place of P^4 = 6
P = 24, unit's place of P^4 = 6
P = 30, unit's place of P^4 = 0
P =6,12,18,24, satisfy the condition and p/8 leaves 6,4,2,0 as remainders respectively. Insufficient!
From 1 and 2
P =12 or 18 and p/8 leaves 4,2 as remainders respectively. Insufficient! IMO
E
