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CAT 2002 | Question: 76

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For all real $\text{X, [X]}$ represents the greatest integer. If $\text{L(X,Y) = [X] + [Y] + [X+Y]}$ and $\text{G(X, Y) = [2X] + [2Y]}.$ Then the ordered pair $\text{(X,Y)}$ cannot be determined if

  1. $\text{L(X,Y) > G(X,Y)}$
  2. $\text{L(X,Y) + G(X,Y)}$
  3. $\text{L(X,Y) < G(X,Y)}$
  4. None of these
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