When (67^67 +67) is divided by 68, the remainder is ______ - mathselab.com

When (67^67 +67) is divided by 68, the remainder is ______

Question


When (6767 +67) is divided by 68, the remainder is _____


A. 0
B. 22
C. 33
D. 66


Answer: D

Solution:

(xn+1) is divisible by (x+1) when n is odd.


=> (6767 + 1) is divisible by (67 + 1)
=> (6767 + 1) is divisible by 68
=> (6767+1) ÷ 68 gives a remainder of 0
=> [(6767+1) + 66] ÷ 68 gives a remainder of 66
=> (6767 + 67) ÷ 68 gives a remainder of 66

Leave a Reply

Your email address will not be published.