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If x\ +\ y\ +\ z\ =\ 9 and both y\ a n d...

If `x\ +\ y\ +\ z\ =\ 9` and both `y\ a n d\ z` are positive integers greater than zero, then the maximum value `x` can take is 3 (b) 7 (c) 8 (d) Date insufficient

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Knowledge Check

  • If x, y and z are positive integers, then the value of (x + y)(y+z)(z+x)

    A
    `= 8xyz`
    B
    `gt 8xyz`
    C
    `lt 8xyz`
    D
    `= 4xyz`
  • Let x,y,z are positive reals and x +y+z=60 and x gt 3. Maximum value of xyz is :

    A
    `8xx10^(3)`
    B
    `27xx10^(3)`
    C
    `64xx10^(3)`
    D
    `125xx10^(3)`
  • If x,y,z are positive distinct integers, then (x+y) (y+z) (z+x), is

    A
    `=8 xyz`
    B
    `gt8 xyz`
    C
    `lt8 xyz`
    D
    `gt6 xyz`
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