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Saturday, 31 October

JEE Main · Maths · Sequences and Series

Common Terms of Two APs

JEE Main asked Common Terms of Two APs 2 times in 2 of the 108 shifts Lumi analysed, in 2022 and 2024. It belongs to AP and GP, in Sequences and Series (Maths). The longest wait between two years asking it was 2 years.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2022
last in 2024
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

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

00.050.10’170’200’210.04’220’230.05’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 1 in 24 shifts · 2023: 0 in 12 shifts · 2024: 1 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
  • 20241 of 18
  • 20230 of 12
  • 20221 of 24
  • 20210 of 24
  • 20200 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: calculation.

  • Sum of common terms of two aps
  • Sum of common terms of two finite aps

Difficulty

Easy 0Medium 2Hard 0

2 of the 2 questions had a numerical answer.

Every question

All 2 questions

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

  1. 1 Feb 2024, Shift 1 · Q25Let 3, 7, 11, 15, …\ldots, 403 and 2, 5, 8, 11, …\ldots, 404 be two arithmetic progressions. Then the sum, of the common terms in them,…MediumNumerical value
  2. 29 Jun 2022, Shift 2 · Q23Let 3,6,9,12,…3, 6, 9, 12, \ldots upto 78 terms and 5,9,13,17,…5, 9, 13, 17, \ldots upto 59 terms be two series. Then, the sum of the terms common to both…MediumNumerical value

Shifts: 29 Jun 2022, Shift 2, 1 Feb 2024, Shift 1.

Same topic

Other ideas in AP and GP

AP and GP has 23 ideas JEE Main has asked; 16 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas