AbdurRakib
Is the median of the five numbers a,b,c,d and e equal to d?
(1) a<c<e
(2) b<d<c
OG Q 2017 New Question
Solution:If we can determine d is the middle quantity of the five quantities when their values are listed in order, then d is the median of the five quantities.
Statement One Only:a<c<e
We can’t determine whether d is the middle quantity of the five quantities. For, example, if b < a < d < c < e, then d is the median. However, if b < d < a < c < e, then d is not the median. Statement one alone is not sufficient.
Statement Two Only:b<d<c
We can’t determine whether d is the middle quantity of the five quantities. For, example, if b < a < d < c < e, then d is the median. However, if b < d < a < c < e, then d is not the median. Statement one alone is not sufficient.
Statements One and Two Together:
Using the two statements, we still can’t determine whether d is the middle quantity of the five quantities since we can use the same two inequalities two show in one instance, d is the median, while in the other, d is not the median.
Answer: E