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Mathematics

8, x and 32 are in G.P., then the value of x is :

  1. 24

  2. 256

  3. 40

  4. 16

AP GP

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Answer

Given,

8, x and 32 are in G.P.

x8=32xx2=8×32x2=256x=256=16.\Rightarrow \dfrac{x}{8} = \dfrac{32}{x} \\[1em] \Rightarrow x^2 = 8 \times 32 \\[1em] \Rightarrow x^2 = 256 \\[1em] \Rightarrow x = \sqrt{256} = 16.

Hence, Option 4 is the correct option.

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