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Quantitative Aptitude

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If x>1, y>1, ...

Question

If x > 1, y > 1, z > 1 are in G.P, then $\frac{1}{1 + l o g x}, \frac{1}{1 + l o g y}, \frac{1}{1 + l o g z}$ are in

A

A.P

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B

H.P

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C

G.P

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D

None of these

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Solution

The correct option is B H.P
$y^{2} = x z, 1 + l o g x, 1 + l o g y, 1 + l o g z$ are in A.P. if $2 l o g y = l o g x + l o g z$
or $y^{2} = x z$ , Option (b) is right.

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x, y, z

are in G.P., where

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\frac{1}{1 + log x}, \frac{1}{1 + log y}, \frac{1}{1 + log z}

x, y, z

all are greater than unity and are in G.P.then

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