CAT Quant Practice Problems

Question: Let x and y be real numbers and let f (x,y) = x + y , F(f (x,y)) = −f (x,y) and G(f (x, y)) = −F(f (x, y))

Which of the following statements is true?

F(f(x, y)) ⋅ G(f(x, y)) = –F(f(x, y)) ⋅ G(f(x, y))
F(f(x, y)) ⋅ G(f(x, y)) > –F(f(x, y)) ⋅ G(f(x, y))
F(f(x, y)) ⋅ G(f(x, y)) ≠ G(f(x, y)) ⋅ G(f(x, y))
F(f(x, y)) + G(f(x, y)) + f(x, y) = f(–x, –y)
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