Verified Solution • 2025–26 Session moderate

QJEEM24Mab76e: JEE Main 2024 Mathematics - Class 11 JEEM24Mab76e Solution: The function ; defined by the highest prime factor of , is :

The function f:N−{1}→Nf: \mathbf{N}-\{1\} \rightarrow \mathbf{N} ; defined by f(n)=f(\mathrm{n})= the highest prime factor of n\mathrm{n} , is :

Multiple Choice Options

  • A one-one only
  • B neither one-one nor onto
  • C onto only
  • D both one-one and onto

Step-by-Step Verified Solution

f:N−{1}→Nf(n)= The highest prime factor of n.f(2)=2f(4)=2⇒ many one 4 is not image of any element ⇒ into 

Hence many one and into

Neither one-one nor onto.

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring