S = {s, (s+1), (s+2), (s+3), (s+4)}
T = {t, (t+1), (t+2), (t+3), (t+4), (t+5), (t+6)}
Question=> Is the median of the number in Set S equal to the median of the numbers in Set T?
Median of S = (s+2)
Median of T = (t+3)
So, is (s+2) = (t+3)
Statement 1: The median of Set S = 0
(s+2) = 0
s= -2.
However, we were not provided with information about the median of Set T. So, statement 1 is NOT SUFFICIENT.

Statement 2: The sum of the numbers in Set S is equal to the sum of the number in Set T.
Sum of S = s + (s+1) + (s+2) + (s+3) + (s+4) = 5s + 10
Sum of T = t + (t+1) + (t+2) + (t+3) + (t+4) + (t+5) + (t+6) = 7t + 21
5s +10 = 7t + 21
5(s + 2) = 7(t + 3)
Where (s + 2) = median of Set S
and (t + 3) = median of Set T.
But the value of s and t is unknown. So, we cannot find and compare the median of both sets.
Hence, statement 2 is NOT SUFFICIENT.

Combining both statements together:
From statement 1, the median of Set S = 0. i.e s+2=0; where s = -2.
Using this information, we can find the median of Set T from statement 2.
From; 5(s + 2) = 7(t + 3)
5 (-2 + 2) = 7 (t + 3)
0 = 7 (t + 3)
(t + 3) = 0/7 = 0
t + 3 = 0.

Since t + 3 = 0 and s +2 =0 which thus validate that the median of Set S is equal to the median of Set T. Then both statements together are SUFFICIENT.
The correct option is option C.

Thanks.

-Deloitte