JEE Main 2026 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 2 April 2026, Shift 2, Maths Q7

Question 7 of 75 in this shift, Maths question 7 of 25, Section A.

Let

p_n

denote the total number of triangles formed by joining the vertices of an

n

-side regular polygon. If

p_{n+1} - p_n = 66

, then the sum of all distinct prime divisors of

n

is:

(1) $7$
(2) $8$
(3) $5$ Official answer
(4) $6$

Official answer

Option 3

NTA final key.

Chapter: Permutations and Combinations
Topic: Permutations and Combinations
Idea tested: Number of Triangles from Points

Same idea in other shifts

Asked 3× in all

7 Apr 2025, Shift 2 · Q8Let $p$ be the number of all triangles that can be formed by joining the vertices of a regular polygon $P$ of $n$ sides and $q$ be the…MediumSingle correct
16 Mar 2021, Shift 2 · Q73Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of the line segments AB, CD, BC, DA respectively. Let $\alpha$ be the…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 42 of the 174 JEE Main shifts held from 2017 to 2026.