Learn

Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctMediumConceptual

JEE Main 27 July 2022, Shift 1, Maths Q2

Question 2 of 90 in this shift, Maths question 2 of 30, Section A.

Let f,g:N−{1}→Nf, g : \mathbb{N}-\{1\} \rightarrow \mathbb{N} be functions defined by f(a)=αf(a) = \alpha, where α\alpha is the maximum of the powers of those primes pp such that pαp^{\alpha} divides aa, and g(a)=a+1g(a) = a + 1, for all a∈N−{1}a \in \mathbb{N}-\{1\}. Then, the function f+gf + g is
  1. (1)one-one but not onto
  2. (2)onto but not one-one
  3. (3)both one-one and onto
  4. (4)neither one-one nor ontoOfficial answer

Official answer

Option 4

NTA final key.

Chapter
Relations and Functions
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.