CAT Quant Practice Problems

Question: Suppose for any real number x, [x] denotes the greatest integer less than or equal to x. Let L(x, y) = [x] + [y] + [x + y] and R(x, y) = [2x] + [2y]. Then it is impossible to find any two positive real numbers x and y for which

L(x, y) = R(x, y)
L(x, y) ≠ R(x, y)
L(x, y) < R(x, y)
L(x, y) > R(x, y)
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CAT Quant Practice Problems
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