JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 27 January 2024, Shift 1, Maths Q7

Question 7 of 90 in this shift, Maths question 7 of 30, Section A.

The number of common terms in the progressions

4, 9, 14, 19, \ldots\ldots

, up to

25^{th}

term and

3, 6, 9, 12, \ldots\ldots

, up to

37^{th}

term is :

(1) $5$
(2) $7$ Official answer
(3) $8$
(4) $9$

Official answer

Option 2

NTA final key.

Chapter: Sequences and Series
Topic: AP and GP
Idea tested: Counting Common Terms of Finite APs

Same idea in other shifts

Asked 3× in all

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

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.