Given below are two statements $:$
Statement $(I) :$ On nitration of $m-$xylene with $HNO_3, H_2SO_4$ followed by oxidation,$4-$nitrobenzene$-1, 3-$dicarboxylic acid is obtained as the major product.
Statement $(II) :$ $-CH_3$ group is $o/p-$directing while $-NO_2$ group is $m-$directing group.
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 false but Statement $II$ is true
• C
  Both Statement $I$ and Statement $II$ are true
• D
  Statement $I$ is true but Statement $II$ is false