JEE Main 2024 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 29 January 2024, Shift 1, Maths Q7

Question 7 of 90 in this shift, Maths question 7 of 30, Section A.

If in a G.P. of 64 terms, the sum of all the terms is 7 times the sum of the odd terms of the G.P, then the common ratio of the G.P. is equal to

(1) $4$
(2) $5$
(3) $6$ Official answer
(4) $7$

Official answer

Option 3

NTA final key.

Chapter: Sequences and Series
Topic: AP and GP
Idea tested: GP Sum of n terms

Same idea in other shifts

Asked 5× in all

6 Apr 2026, Shift 1 · Q24For the functions $f(\theta)=\alpha\tan^2\theta+\beta\cot^2\theta$ , and $g(\theta)=\alpha\sin^2\theta+\beta\cos^2\theta$ ,…HardNumerical value
3 Apr 2025, Shift 1 · Q22All five letter words are made using all the letters A, B, C, D, E and arranged as in an English dictionary with serial numbers. Let the…HardNumerical value
9 Jan 2020, Shift 2 · Q57Let $a_n$ be the $n^{\mathrm{th}}$ term of a G.P. of positive terms. If $\sum_{n=1}^{100}a_{2n+1}=200$ and $\sum_{n=1}^{100}a_{2n}=100$ ,…MediumSingle correct
6 Sep 2020, Shift 2 · Q73Suppose that a function $f:\mathbf{R}\to\mathbf{R}$ satisfies $f(x+y)=f(x)f(y)$ for all $x,y\in\mathbf{R}$ and $f(1)=3$ . If…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 42 of the 174 JEE Main shifts held from 2017 to 2026.