Concept: The question tests on the reasoning associated with Range of a set of inputs.
Solution:
St(1)- S has 7 numbers but we have no information of T and we cannot determine if x is greater than y.(Insufficient)
St(2) T has 6 numbers but we have no information of S and we cannot determine if x is greater than y. (Insufficient)
Using both (1) and (2)
Let set T = {1,2, 3,4,5,6}
Then y = Range of set T = Max-Min value in the set
=6 – 1 = 5
Let set S = {1,2,3,4,5,6,7}
x = Range of set S
= 7 – 1 = 6
So, x>y (ANSWER TO QUESTION IS YES)
Now let’s take set T = {1,2,3,4,5,6} and we have y = Range of set T = 6 – 1 = 5
Let set S = {1,2,3,4,5,6,6} and we have x = range of set S = 6 – 1 = 5
Here x = y. (ANSWER TO QUESTION IS NO)
Thus using both too, we are unable to answer the question and hence option (E)