Question of the Day 
 
If,



g(a, b, c) = min(2a, b, 3c),

h(a, b, c) = max{min(a, b), min(b, c), min(c, a)},

k(a, b, c) = min(m, n, p),

Where, m = max(a, b),

n = min(a, b, c),



Which of the following is true?
OPTIONS
 
 1)k{f(2, 3, 6), g(2, 5, 1), h(2, 3, 1)} = 2
 2)g(4, 8, 2) > f(6, 5, 12)
 3)k(4, 9, 16) is a perfect square
 4)Only two of the options are true
 5)All the three options are true