JEE Main 2020 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 9 January 2020, Shift 2, Maths Q72

Question 72 of 75 in this shift, Maths question 22 of 25, Section B.

The number of terms common to the two A.P.'s

3,7,11,\ldots,407

and

2,9,16,\ldots,709

is ______.

Official answer

14.00

NTA final key (Jan 2020).

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
27 Jan 2024, Shift 1 · Q7The 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…MediumSingle correct

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.