CAT Exam Model Paper 5 with solutions for free online practice

From Statement A:Let $y = |x - 1.5| + |x - 2.5| + |x - 3.5|.$Y attains the minimum value at x = 2.5 and the minimum value is 2.Hence the equation $|x - 1 .5| + |x - 2.5| + |x - 3.5| = 2$is satisfied by only one real value of ‘x’.So the question can be answered by using Statement A alone.From Statement B:Let $y = |x - 5| + |x - 10| + |x - 15| + |x - 20|$‘y’ attains the minimum value at x = 10,11,12.13,14, 15 i.e. all natural numbers from 10 to 15 both inclusive.Hence, a unique value of ‘x’ cannot be determined.So the question cannot be answered by Statement B alone.