Which could be the remainder among the following when a perfect square is divided by 8?
A. 1
B. 3
C. 5
D. 7
Consider the number 3.
32 = 9 and the remainder obtained upon dividing 9 by 8 is 1.
Hence, the correct answer is A.
What is the least perfect square which leaves the remainder 1 when divided by 7 as well as by 11?