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Quantitative Aptitude

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23. If x,y,z ...

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23. If x,y,z are in AP , ax ,by,cz are in GP and 1/a, 1/b , 1/c are in AP then x/z+z/x is equal to

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If a b and c are in GP and $a^{1 / x} = b^{1 / y} = c^{1 / z}$ , prove that x, y and z are in AP.

Q. If a,b,c are in AP and x,y,z are in GP, prove that

x^{b - c} . y^{c - a} . z^{a - b} = 1

x, 1, z

x, 2, z

are in GP, then

x, 4; z

Q. If a, b, c are in G.P. and a¹^/x= b¹^/y = c¹^/z, then xyz are in
(a) AP
(b) GP
(c) HP
(d) none of these

a, b, c

a^{x} = b^{y} = c^{z}

x, y, z

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