Teaching JKPSC Lecturership Mock Test Series 2024-25 Mathematics Elementary Number Theory Congruence
Consider the function f(x) = x2 - 4x + 4. Let n be the number of positive integer solutions to the equation f(x) = 0, and let ϕ(n) be the Euler's totient function for n.
Which of the following statements about (n) is correct?
1
ϕ(n) is a prime number.
2
ϕ(n) is an even number.
3
ϕ(n) is a perfect square.
4
ϕ(n) is a multiple of 3.