JEE Main 2022 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 27 July 2022, Shift 2, Maths Q22

Question 22 of 90 in this shift, Maths question 22 of 30, Section B.

The number of functions f, from the set

A = \{x \in \mathbf{N} : x^2 - 10x + 9 \leq 0\}

to the set

B = \{n^2 : n \in \mathbf{N}\}

such that

f(x) \leq (x - 3)^2 + 1

, for every

x \in A

, is __________.

Official answer

1440

NTA final key.

Chapter: Relations and Functions
Topic: Permutations and Combinations
Idea tested: Total Number of Functions

Same idea in other shifts

Asked 5× in all

30 Jan 2024, Shift 1 · Q21Let $A=\{1,2,3,\ldots,7\}$ and let $P(A)$ denote the power set of $A$ . If the number of functions $f:A\to P(A)$ such that…HardNumerical value
11 Apr 2023, Shift 2 · Q22Let $A = \{1, 2, 3, 4, 5\}$ and $B = \{1, 2, 3, 4, 5, 6\}$ . Then the number of functions $f : A \to B$ satisfying $f(1) + f(2) = f(4) - 1$ …MediumNumerical value
25 Jul 2022, Shift 1 · Q1The total number of functions, $f:\{1,2,3,4\}\rightarrow\{1,2,3,4,5,6\}$ such that $f(1)+f(2)=f(3)$ , is equal to :MediumSingle correct
26 Feb 2021, Shift 2 · Q62Let $A=\{1, 2, 3, \ldots, 10\}$ and $f : A \to A$ be defined as…MediumSingle correct

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.