JEE Main 2025MathematicsSequences And SeriesArithmetic ProgressionmediumMCQ

JEE Main 2025Sequences And Series Question with Solution

From: JEE Main 2025 (Online) 4th April Evening Shift

Question

Consider two sets A and B, each containing three numbers in A.P. Let the sum and the product of the elements of A be 36 and p respectively and the sum and the product of the elements of B be 36 and respectively. Let d and D be the common differences of in and respectively such that . If , then is equal to

Choose an option

Show full solutionCorrect option: A
Correct answer
A540

Step-by-step explanation

Let the terms in be

and in be

Now

and

Now

and

Also

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About this question

This is a previous-year question from JEE Main 2025, 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.