Given below are two statements:
Statement $I$: All the following compounds react with $p$-toluenesulfonyl chloride:
$C_6H_5NH_2$
$(C_6H_5)_2NH$
$(C_6H_5)_3N$
Statement $II$: Their products in the above reaction are soluble in aqueous $NaOH$.
In the light of the above statements,choose the correct answer from the options given below.

• A
  Both Statement $I$ and Statement $II$ are false
• B
  Statement $I$ is true but Statement $II$ is false
• C
  Statement $I$ is false but Statement $II$ is true
• D
  Both Statement $I$ and Statement $II$ are true