Let $x, y > 0$. If $x^3y^2 = 2^{15}$, then the least value of $3x + 2y$ is

JEE Main 2022 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 24 June 2022, Shift 2, Maths Q4

Question 4 of 90 in this shift, Maths question 4 of 30, Section A.

Let

x, y > 0

. If

x^3y^2 = 2^{15}

, then the least value of

3x + 2y

(1)30
(2)32
(3)36
(4)40Official answer

Official answer

Option 4

NTA final key.

Chapter: Sequences and Series
Topic: AP and GP
Idea tested: Weighted AM-GM Inequality

Same idea in other shifts

Asked 2× in all

11 Apr 2023, Shift 2 · Q9Let $a, b, c$ and $d$ be positive real numbers such that $a + b + c + d = 11$ . If the maximum value of $a^5 b^3 c^2 d$ is $3750\beta$ ,…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.