JEE Main 2023MathematicsSequences And SeriesArithmetic ProgressionmediumNumerical

JEE Main 2023Sequences And Series Question with Solution

From: JEE Main 2023 (Online) 1st February Evening Shift

Question

The sum of the common terms of the following three arithmetic progressions.

,

and

,

is equal to _____________.

Enter your answer

Show full solutionCorrect answer: 321
Correct answer
321

Step-by-step explanation



Common terms are 47, 107, 167

Sum

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Sequences And Series chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2023, covering the Sequences And Series chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.