JEE Main 2020 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 3 September 2020, Shift 2, Maths Q73

Question 73 of 75 in this shift, Maths question 23 of 25.

If m arithmetic means (A.Ms) and three geometric means (G.Ms) are inserted between 3 and 243 such that

4^{th}

A.M. is equal to

2^{nd}

G.M., then m is equal to __________.

Official answer

39.00

NTA final key (Sep 2020).

Chapter: Sequences and Series
Topic: AP and GP
Idea tested: Arithmetic and Geometric Means

Same idea in other shifts

Asked 4× in all

15 Apr 2023, Shift 1 · Q8Let $A_1$ and $A_2$ be two arithmetic means and $G_1, G_2, G_3$ be three geometric means of two distinct positive numbers. Then…MediumSingle correct
28 Jun 2022, Shift 2 · Q5If n arithmetic means are inserted between a and 100 such that the ratio of the first mean to the last mean is $1:7$ and $a+n=33$ , then…MediumSingle correct
3 Aug 2021, Shift 2 · Q67If ' $m$ ' is the arithmetic mean of two distinct real numbers $l$ and $n$ $(l, n > 1)$ and $G_1$ , $G_2$ and $G_3$ are three geometric means…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.