JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 1 February 2024, Shift 1, Maths Q6

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

Let 3, a, b, c be in A.P. and 3, a

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1, b+1, c+9 be in G.P. Then, the arithmetic mean of a, b and c is :

(1)11Official answer
(2) $-1$
(3)13
(4) $-4$

Official answer

Option 1

NTA final key.

Chapter: Sequences and Series
Topic: AP and GP
Idea tested: Conditions for Three Terms in AP or GP

Same idea in other shifts

Asked 6× in all

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2 Apr 2017 (offline) · Q68For any three positive real numbers a, b and c, $9(25a^2+b^2)+25(c^2-3ac)=15b(3a+c)$ . Then :HardSingle 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.