PYQ Vault
EbooksTutor

Least or greatest value using AM-GM

This type of question, asked 2 times: 14 Jun 2022, 11 Apr 2023. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    14 Jun 2022

    154
    Let x,y>0x,y> 0. If x3y2=215x^{3}y^{2}=2^{15}, then the least value of 3x+2y3x + 2y is

    Tap an option to check your answer.

  2. Question 2

    11 Apr 2023

    163
    Let a,b,ca,b,c and dd be positive real numbers such that a+b+c+d=11a + b + c + d = 11. If the maximum value of a5b3c2da^{5}b^{3}c^{2}d is 3750β3750\beta, then the value of β\beta is

    Tap an option to check your answer.