Directions for the next 3 questions: For three distinct real positive 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)

Question 115

Which of the following is necessarily greater than 1?


From the given functions we can make out that function h and m give max value , function n and j give min value , function f and g give middle  value. From this equation (f(x, y, z) + h(x, y, z)-g(x, y, z))/j(x, y, z) , numerator is always max value and denominator is min value . So this will always be greater than 1 .

Suppose x>y>z

f(x,y,z) = y

g(x,y,z) = y

h(x,y,z) = x

j(x,y,z) = z

Option d = x/z >1

Create a FREE account and get:

  • All Quant CAT complete Formulas and shortcuts PDF
  • 35+ CAT previous papers with video solutions PDF
  • 5000+ Topic-wise Previous year CAT Solved Questions for Free


Boost your Prep!

Download App