JEE Main 2026MathematicsPermutation CombinationEasyMCQ

JEE Main 2026Permutation Combination Question with Solution

JEE Main 2026 (21 January Shift 2)

Question

The largest , for which divides 101!, is :

Choose an option

Show full solutionCorrect option: A
Correct answer
A16

Step-by-step explanation

Exponent of 7 in is:
.

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Permutation Combination chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2026, covering the Permutation Combination chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.