CAT Quant Practice Problems

Question: For these questions the following functions have been defined.

\(\begin{array}{l}{\rm{la}}\left( {x,y,z} \right) = \min \left( {x + y,y + z} \right)\\{\rm{le}}\left( {x,y,z} \right) = \max \left( {x - y,y - z} \right)\\{\rm{ma}}\left( {x,y,z} \right) = \frac{1}{2}\left[ {{\rm{le}}\left( {x,y,z} \right) + la\left( {x,y,z} \right)} \right]\end{array}\)

Given that x >y >z >0. Which of the following is necessarily true?


  1. la(x, y, z)<le(x, y, z)
  2. ma(x, y, z)<la(x, y, z)
  3. ma(x, y, z)<le(x, y, z)
  4. None of these

Correct Option:2

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