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Saturday, 31 October

JEE Main · Maths · Binomial Theorem

Hockey Stick Identity

JEE Main asked Hockey Stick Identity 4 times in 4 of the 108 shifts Lumi analysed, in 2020, 2021, 2022 and 2026. It belongs to Binomial Coefficients, in Binomial Theorem (Maths). The longest wait between two years asking it was 4 years.

Updated 2026-10-24

Times asked
4
in 4 shifts
Years
4 of 8
First asked
2020
last in 2026
Pattern
Frequent
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020, 2021, 2022 and 2026. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170.08’200.03’210.04’220’230’240’250.11’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 1 in 24 shifts · 2022: 1 in 24 shifts · 2023: 0 in 12 shifts · 2024: 0 in 18 shifts · 2025: 0 in 8 shifts · 2026: 1 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20261 of 9
  • 20250 of 8
  • 20240 of 18
  • 20230 of 12
  • 20221 of 24
  • 20211 of 24
  • 20201 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: application.

  • Coefficient of term in sum of binomial expansions
  • Sum of binomial coefficients by hockey stick

Difficulty

Easy 0Medium 4Hard 0

1 of the 4 questions had a numerical answer.

Every question

All 4 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 4 Apr 2026, Shift 1 · Q9Let the smallest value of k∈Nk\in\mathbb{N}, for which the coefficient of x3x^3 in…MediumSingle correct
  2. 26 Jun 2022, Shift 2 · Q26If…MediumNumerical value
  3. 24 Feb 2021, Shift 2 · Q71If n≥2n\geq2 is a positive integer, then the sum of the series n+1C2+2(2C2+3C2+4C2+….+nC2){}^{n+1}C_2+2\left({}^{2}C_2+{}^{3}C_2+{}^{4}C_2+\ldots.+{}^{n}C_2\right)…MediumSingle correct
  4. 4 Sep 2020, Shift 1 · Q55The value of ∑r=02050−rC6\sum_{r=0}^{20} {}^{50-r}C_6 is equal to :MediumSingle correct

Shifts: 4 Sep 2020, Shift 1, 24 Feb 2021, Shift 2, 26 Jun 2022, Shift 2, 4 Apr 2026, Shift 1.

Same topic

Other ideas in Binomial Coefficients

Binomial Coefficients has 28 ideas JEE Main has asked; 15 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas