JEE Main 12 April 2023, Shift 1, Maths Q22

Question 22 of 90 in this shift, Maths question 22 of 30, Section B.

Let

D_k=\begin{vmatrix}1&2k&2k-1\\ n&n^2+n+2&n^2\\ n&n^2+n&n^2+n+2\end{vmatrix}

. If

\sum_{k=1}^{n}D_k=96

, then

n

is equal to __________.

Official answer

NTA final key.

Chapter: Determinants
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

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.