If n is a positive integer, what is the remainder when 3^(8n+3)+2 is divided by 5?
a)0
b)1
c)2
d)3
e)4
a)0
b)1
c)2
d)3
e)4
In this question we just have to look at the units digit to find out the remainder.
3^(8n+3) will always result in an odd integer for any value of n
therefore units place of the integer will either 3 or 7
3^(8n+3) +2 = either 5 or 9
Therefore we can eliminate all the options but 0 and 4.
The units place of 3^(8n+3) will always be 7
Hence the answer is 4.
Whats the OA?
