Most Important Selected Qs for JEE AdvancedMathematicsFunctions
Paragraph: Read the following write up carefully and answer the following questions: Define a function : N N as follows: (1)=1, (p^n )=p^ n-1 (p-1) if p is prime and n N and (m n)= (m) (n) , if m and n are relatively prime natural numbers then Question: The number of natural numbers ' n ' such that (n) is odd is
Options
- A1
- B2
- C3
- D4
Correct answer
B. 2
Step-by-step solution
(p^n ) is odd p^ n-1 (p-1) is odd p is prime, the only value p can take is p =2 (2^n ) is odd