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JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 April 2024, Shift 2, Maths Q6

Question 6 of 90 in this shift, Maths question 6 of 30, Section A.

Let three real numbers

a, b, c

be in arithmetic progression and

a+1, b, c+3

be in geometric progression. If

a>10

and the arithmetic mean of

a, b

and

c

is 8, then the cube of the geometric mean of

a, b

and

c

is

(1)128
(2)312
(3)120Official answer
(4)316

Official answer

Option 3

NTA final key.

Chapter: Sequences and Series
Topic: AP and GP
Idea tested: Symmetric Selection of AP Terms

Same idea in other shifts

Asked 2× in all

4 Apr 2025, Shift 2 · Q6Consider 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…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.