JEE Main 2022 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 28 June 2022, Shift 2, Maths Q5

Question 5 of 90 in this shift, Maths question 5 of 30, Section A.

If 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 the value of n is :

(1)21
(2)22
(3)23Official answer
(4)24

Official answer

Option 3

NTA final key.

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
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
3 Sep 2020, Shift 2 · Q73If 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 $2^{nd}$ …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.