Question Of The Day

Let x, y and z be distinct positive integers satisfying x < y < z and x + y + z = k. what is the smallest value of k that does not determine x, y, z uniquely?

a) 9

b) 6

c) 7

d) 8

Ans: d) 8

If x + y + z = 8, (x, y, z) could be (1, 2, 5) or (1, 3, 4)