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Friday, 9 October

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JEE Main 2026 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 5 April 2026, Shift 1, Maths Q23

Question 23 of 75 in this shift, Maths question 23 of 25, Section B.

If the sum of the coefficients of

x^7

and

x^{14}

in the expansion of

\left(\frac{1}{x^3} - x^4\right)^n

,

x \neq 0

, is zero, then the value of

n

is ________.

Official answer

21

NTA final key.

Chapter: Binomial Theorem
Topic: Binomial Coefficients
Idea tested: Basic nCr Properties

Same idea in other shifts

Asked 2× in all

6 Apr 2023, Shift 1 · Q5If ${}^{2n}C_3 : {}^{n}C_3 = 10:1$ , then the ratio $(n^2+3n):(n^2-3n+4)$ isEasySingle 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.