Xavier Aptitude Test 2014 Paper

(b) Let Qs = x, we get the following figureIn any triangle, the sum of any two sides is always greater than the third side and the difference of any two sides is always smaller than the third side. Hence,
In ΔQRS,
x + 5 > 17
⇒ x > 12 ....... (i)
In ΔPQRS,
x < 9 + 5
⇒ x > 14 ........(i)
Combining (i) and (ii), we get
12 < x < 14