aptitude

Question

let X be the airthmetic mean and Y,Z be the two geomatric mean between any two positive numbers .The vlue of (X^3 +Z^3)/XYZ

Comments

answer is very unsimlified..qsn is correct??

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yup it is correct

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(y^3 +Z^3)/XYZ then only simplified...this problem i have seen in one of test series

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if this is case answer will be '0'

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no 2

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y = sqrt(ab), z= -sqrt(ab), x=(a+b)/2 ??

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given Y,Z be the two geomatric mean between any two positive numbers let a and c

ie. a,y,z,c are in GP

then how can u say y = sqrt(ab), z= -sqrt(ab)

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thanks...i got it, i was thinking something else... i thought qsn is saying two geometric means OF a and c...but it was 2 geometric mean BETWEEN a and c

Answer 1

if ask (y^3 +Z^3)/XYZ then solution is .....

Comments

very well explained

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nice explanation.

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@joshi_nitish

GMs for two numbers a & c are not sqrt(ac) & -sqrt(ac) as they both will not be in the GP with a & c i.e.

a, sqrt(ac), -sqrt(ac), c

https://socratic.org/questions/how-do-you-find-two-geometric-means-between-5-and-135