Question

If p, q, r are three consecutive distinct natural numbers then the expression (q + r – p)(p + r – q)(p + q – r) is 

(a) Positive 

(b) Negative 

(c) Non-positive 

(d) Non-negative

Answer 1

Correct option (d) Non-negative   

Explanation: 

This can be checked using any values of p, q, r. If we try with 1,2,3 we get the value as 0. If we try values of p, q , r as 2,3,4 we get the expression as positive. Hence, we conclude that the expression’s value would always be non-negative.