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Statement I : If the arithmetic mean of ...

Statement I : If the arithmetic mean of two numbers is `(5)/(2)`, geometric mean of the numbers is 2, then the harmonic mean will be `(8)/(5)`.
Statement II : For a group of positive numbers `(G.M.)^(2) = (A.M.) xx (H.M.)`

A

Statement-I is true, Statement II is true and Statement II is a correct explanation for Statement-I.

B

Statement-I is true, Statement II is true but Statement II is not a correct explanation of Statement-I.

C

Statement - I is true, Statement - II is false.

D

Statement - I is false, Statement - II is true.

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • Geometric mean of the numbers 2, 2^2, 2^3, ….,2^(n) numbers is

    A
    `2^((2)/(n))`
    B
    `2^((n)/(2))`
    C
    `2^((n-1)/(2))`
    D
    `2^((n+1)/(2))`

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    A
    2
    B
    6
    C
    9
    D
    12

  • The geometric mean of number 7, 7^2, 7^3,…..,7^n is

    A
    `7^n`
    B
    `7^(n/2)`
    C
    `7^((n+1)/2)`
    D
    None of these

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