CAT 2000 | Question: 79

Question

Answer the following question based on the information given below.
For three distinct real numbers $x, y$ and $z,$ let

• $f(x, y, z) = \min(\max(x, y), \max(y, z), \max(z, x))$
• $g(x, y, z) = \max(\min(x, y), \min(y, z), \min(z, x))$
• $h(x, y, z) = \max(\max(x, y), \max(y, z), \max(z, x))$
• $j(x, y, z) = \min(\min(x, y), \min(y, z), \min(z, x))$
• $m(x, y, z) = \max(x, y, z)$
• $n(x, y, z) = \min(x, y, z)$

Which of the following expressions is indeterminate?

• A. $(f(x, y, z) – h(x, y, z))/(g(x, y, z) – j(x, y, z))$
• B. $(f(x, y, z) + h(x, y, z) + g(x, y, z) + j(x, y, z))/ (j(x, y, z) + h(x, y, z) – m(x, y, z) – n(x, y, z))$
• C. $(g(x, y, z) – j(x, y, z))/(f(x, y, z) – h(x, y, z))$
• D. $(h(x, y, z) – f(x, y, z))/(n(x, y, z) – g(x, y, z))$