Question

Let A = {9, 10, 11, 12, 13} and let f : A → N be defined by f(x) = the highest prime factor of x. Then the number of distinct elements in the range of f is

(A) 6 

(B) 5 

(C) 4 

(D) None of these

Answer 1

Correct Option :-(C) 4

Explanation :-

A = {9, 10, 11, 12, 13} 

f(x) = the highest prime factor of x : x ∈ A 

∴ f(9) = 3 

f(10) = 5 

f(11) = 11 

f(12) = 3 

f(13) = 13