Verified Solution • 2025–26 Session moderate

QJEEM24Ma55a8: JEE Main 2024 Mathematics - Class 11 JEEM24Ma55a8 Solution: Let [ t ] be the greatest integer less than or equal to t . Let …

Let [t] be the greatest integer less than or equal to t. Let A be the set of all prime factors of 2310 and f:A→Z be the function f(x)=[log2⁡(x2+[x35])]. The number of one-to-one functions from A to the range of f is

Multiple Choice Options

  • A 20
  • B 120
  • C 25
  • D 24

Step-by-Step Verified Solution

A={2,3,5,7,11}f(x)=[log2⁡(x2+[x35])] Ranges f(x)={2,3,5,6,8}

 Number of one-one A→Rf

JEE Main 2024 (Online) 8th April Morning Shift Mathematics - Permutations and Combinations Question 21 English Explanation

5×4×3×2×1=120

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