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Saturday, 10 October

JEE Main Maths · Binomial Theorem

Basic nCr Properties

Basic nCr Properties (Binomial Theorem) was asked 2 times in 2 JEE Main shifts, 2023–2026, out of the 42 shifts Lumi analysed. 1 of the 2 had a numerical answer.

Times asked
2
in 2 shifts
Years
2023–2026
Usual format
Numerical value
Calculation
Pattern
Occasional
repeats across shifts

How it is asked

  • N from equal coefficient condition
  • Solve for n from ncr ratio

Difficulty

Easy 1Medium 1Hard 0

Where it sits

Chapter: Binomial Theorem. Topic: Binomial Coefficients, 26 questions over 18 ideas.

Other repeat ideas in this topic

Every time it came

All 2 questions

Newest first, each with its options and official answer.

  1. 5 Apr 2026, Shift 1 · Q23If the sum of the coefficients of x7x^7 and x14x^{14} in the expansion of (1x3−x4)n\left(\frac{1}{x^3} - x^4\right)^n, x≠0x \neq 0, is zero, then…MediumNumerical value
  2. 6 Apr 2023, Shift 1 · Q5If 2nC3:nC3=10:1{}^{2n}C_3 : {}^{n}C_3 = 10:1, then the ratio (n2+3n):(n2−3n+4)(n^2+3n):(n^2-3n+4) isEasySingle correct