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Saturday, 31 October

JEE Main · Maths · Sequences and Series

Counting Common Terms of Finite APs

JEE Main asked Counting Common Terms of Finite APs 3 times in 3 of the 108 shifts Lumi analysed, in 2020, 2024 and 2026. It belongs to AP and GP, in Sequences and Series (Maths). The longest wait between two years asking it was 4 years.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
3 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, 2024 and 2026. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170.08’200’210’220’230.05’240’250.11’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 1 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
  • 20241 of 18
  • 20230 of 12
  • 20220 of 24
  • 20210 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: multi-step.

  • Count common elements of two finite aps with condition
  • Count common terms of two aps

Difficulty

Easy 0Medium 3Hard 0

1 of the 3 questions had a numerical answer.

Every question

All 3 questions

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

  1. 2 Apr 2026, Shift 1 · Q5Let AA be the set of first 101101 terms of an A.P., whose first term is 11 and the common difference is 55 and let BB be the set of…MediumSingle correct
  2. 27 Jan 2024, Shift 1 · Q7The number of common terms in the progressions 4,9,14,19,……4, 9, 14, 19, \ldots\ldots, up to 25th25^{th} term and 3,6,9,12,……3, 6, 9, 12, \ldots\ldots, up to…MediumSingle correct
  3. 9 Jan 2020, Shift 2 · Q72The number of terms common to the two A.P.'s 3,7,11,…,4073,7,11,\ldots,407 and 2,9,16,…,7092,9,16,\ldots,709 is ______.MediumNumerical value

Shifts: 9 Jan 2020, Shift 2, 27 Jan 2024, Shift 1, 2 Apr 2026, 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