JEE Main 2 April 2025, Shift 1, Maths Q6

Question 6 of 75 in this shift, Maths question 6 of 25, Section A.

The largest

n\in\mathbf{N}

such that

3^n

divides

50!

is :

(1)23
(2)22Official answer
(3)21
(4)20

Official answer

Option 2

NTA final key.

Chapter: Binomial Theorem
Topic: Permutations and Combinations
Idea tested: Exponent of Prime in n! (Legendre's Formula)

Same idea in other shifts

Asked 2× in all

8 Apr 2023, Shift 1 · Q26The largest natural number $n$ such that $3^n$ divides $66!$ is ______________.EasyNumerical value

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.