shashank.ism wrote:abhasjha wrote:If p is a positive odd integer, what is the remainder when p is divided by 4?
1. When p is divided by 8, the remainder is 5.
2. p is the sum of the squares of two positive integers
Ans is A
If no. odd no. is divided by 4 , remainder can be either 1 or 3.
S1: when P is divided by 8, the remainder is 5. so P-5 is divisible by 4 and dividing 5 by 4 , we get remainder = 1...sufficient
S2: so the on no. must be odd and one must be even to give an odd number p
so even^2 is surely divisible by 4 and odd^2 when divisble by 4 gives remainder 1
so overall remainder = 1. ----sufficient
So Ans is
D
