Learn

Saturday, 31 October

JEE Main · Maths · Binomial Theorem

Ratio of Consecutive Coefficients

JEE Main asked Ratio of Consecutive Coefficients 9 times in 9 of the 108 shifts Lumi analysed, in 2020, 2021, 2022, 2023 and 2024. It belongs to Binomial Coefficients, in Binomial Theorem (Maths). The longest wait between two years asking it was 1 year. In 2020, 2021, 2023 and 2024 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
9
in 9 shifts
Years
5 of 8
First asked
2020
last in 2024
Pattern
Asked most years
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020, 2021, 2022, 2023 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170.17’200.07’210.04’220.14’230.09’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 2 in 12 shifts · 2021: 2 in 24 shifts · 2022: 1 in 24 shifts · 2023: 2 in 12 shifts · 2024: 2 in 18 shifts · 2025: 0 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

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

  • 20260 of 9
  • 20250 of 8
  • 20242 of 18
  • 20232 of 12
  • 20221 of 24
  • 20212 of 24
  • 20202 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Numerical value is the usual form. Skill tested: multi-step.

  • Unknown parameters from given binomial terms
  • Binomial coefficients in arithmetic progression

Difficulty

Easy 0Medium 8Hard 1

5 of the 9 questions had a numerical answer.

Every question

All 9 questions

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

  1. 6 Apr 2024, Shift 1 · Q23If the second, third and fourth terms in the expansion of (x+y)n(x+y)^n are 135135, 3030 and 103\frac{10}{3}, respectively, then 6(n3+x2+y)6(n^3+x^2+y)…MediumNumerical value
  2. 4 Apr 2024, Shift 2 · Q4If the coefficients of x4x^4, x5x^5 and x6x^6 in the expansion of (1+x)n(1+x)^n are in the arithmetic progression, then the maximum value of…MediumSingle correct
  3. 11 Apr 2023, Shift 2 · Q8The sum of the coefficients of three consecutive terms in the binomial expansion of (1+x)n+2(1 + x)^{n+2}, which are in the ratio 1:3:51:3:5, is…MediumSingle correct
  4. 8 Apr 2023, Shift 1 · Q8If the coefficients of three consecutive terms in the expansion of (1+x)n(1+x)^n are in the ratio 1:5:201:5:20, then the coefficient of the fourth…MediumSingle correct
  5. 27 Jul 2022, Shift 2 · Q23Let for the 9th9^{th} term in the binomial expansion of (3+6x)n(3 + 6x)^n, in the increasing powers of 6x6x, to be the greatest for…HardNumerical value
  6. 17 Mar 2021, Shift 2 · Q86Let the coefficients of third, fourth and fifth terms in the expansion of (x+ax2)n\left(x+\frac{a}{x^2}\right)^n, x≠0x\neq 0, be in the ratio 12…MediumNumerical value
  7. 25 Jul 2021, Shift 2 · Q87If the co-efficients of x7x^7 and x8x^8 in the expansion of (2+x3)n\left(2+\frac{x}{3}\right)^n are equal, then the value of n is equal to…MediumNumerical value
  8. 4 Sep 2020, Shift 2 · Q56If for some positive integer n, the coefficients of three consecutive terms in the binomial expansion of (1+x)n+5(1+x)^{n+5} are in the ratio…MediumSingle correct
  9. 2 Sep 2020, Shift 2 · Q71For a positive integer n, (1+1x)n\left(1+\frac{1}{x}\right)^n is expanded in increasing powers of xx. If three consecutive coefficients in…MediumNumerical value

Shifts: 2 Sep 2020, Shift 2, 4 Sep 2020, Shift 2, 17 Mar 2021, Shift 2, 25 Jul 2021, Shift 2, 27 Jul 2022, Shift 2, 8 Apr 2023, Shift 1, 11 Apr 2023, Shift 2, 4 Apr 2024, Shift 2, 6 Apr 2024, 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