JEE Main Maths · Sequences and Series

Counting Common Terms of Finite APs

Counting Common Terms of Finite APs (Sequences and Series) was asked 2 times in 2 JEE Main shifts, 2020–2026, out of the 42 shifts Lumi analysed. 1 of the 2 had a numerical answer.

Times asked: 2; in 2 shifts
Years: 2020–2026
Usual format: Numerical value; Calculation
Pattern: Occasional; repeats across shifts

How it is asked

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

Difficulty

Easy 0Medium 2Hard 0

Where it sits

Chapter: Sequences and Series. Topic: AP and GP, 59 questions over 17 ideas.

All 2 questions

Newest first, each with its options and official answer.

2 Apr 2026, Shift 1 · Q5Let $A$ be the set of first $101$ terms of an A.P., whose first term is $1$ and the common difference is $5$ and let $B$ be the set of…MediumSingle correct
9 Jan 2020, Shift 2 · Q72The number of terms common to the two A.P.'s $3,7,11,\ldots,407$ and $2,9,16,\ldots,709$ is ______.MediumNumerical value