JEE Main 2026 — Permutation Combination Question with Solution
JEE Main 2026 (02 April Shift 2)
Question
Let denote the total number of triangles formed by joining the vertices of an -side regular polygon. If , then the sum of all distinct prime divisors of is:
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
The number of triangles formed by joining the vertices of an -sided regular polygon is given by .
Given that .
Using the property , we get:
Since must be a positive integer, .
The prime factorization of is . The distinct prime divisors of are and .
The sum of all distinct prime divisors of is .
Answer:
Given that .
Using the property , we get:
Since must be a positive integer, .
The prime factorization of is . The distinct prime divisors of are and .
The sum of all distinct prime divisors of is .
Answer:
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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.