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JEE Main 2023 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 11 April 2023, Shift 2, Maths Q9

Question 9 of 90 in this shift, Maths question 9 of 30, Section A.

Let

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

, then the value of

\beta

is

(1) $55$
(2) $90$ Official answer
(3) $108$
(4) $110$

Official answer

Option 2

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

24 Jun 2022, Shift 2 · Q4Let $x, y > 0$ . If $x^3y^2 = 2^{15}$ , then the least value of $3x + 2y$ isMediumSingle 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.