Answer:
See explanation
Step-by-step explanation:
In this question, we can have several possibilities for the bromodichlorobenzene that depends on the position of the Br and Cl in the benzene. Our options are:
a) 2-bromo-1,3-dichlorobenzene
b) 1-bromo-2,4-dichlorobenzene
c) 1-bromo-2,3-dichlorobenzene
d) 1-bromo-2,3-dichlorobenzene
e) 4-bromo-1,2-dichlorobenzene
See figure 1
Now, if only have 4 signals, we will have only 4 different types of carbons. In benzene we have 6 carbons, therefore, we will have symmetry in the molecule and some of the carbons would be equivalent. The only molecule that has symmetry is "2-bromo-1,3-dichlorobenzene" because we have several carbons with the same neighbors (see figure 2).
Finally, to check the molecule we can check the 13C NMR for 2-bromo-1,3-dichlorobenzene and we will see that only have 4 signals (see figure 3)