It is being given that (5^32+1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number? Answers:
A) 5^16+1
B) 5^16-1
C) 7*5^33
D) 5^96+1
E) None
Solution: Let 5^32=x.   Then (5^32+1)=(x+1). Let (x+1) be completely divisible by the whole number Y.   then (5^96+1)=[(5^32)^3+1]=&gt;(x^3+1)=(x+1)(x^2-x+1) which is completely divisible by Y.   since (x+1) is divisible by Y.   Answer 5^96+1
<result>D</result>
It is being given that (5^32+1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?