Two statements are given below:
Statement $I:$ The melting point of monocarboxylic acids with an even number of carbon atoms is higher than that of acids with an odd number of carbon atoms immediately below and above it in the series.
Statement $II:$ The solubility of monocarboxylic acids in water decreases with an increase in molar mass.
Choose the most appropriate option.

• A
  Both Statement $I$ and Statement $II$ are correct.
• B
  Both Statement $I$ and Statement $II$ are incorrect.
• C
  Statement $I$ is correct but Statement $II$ is incorrect.
• D
  Statement $I$ is incorrect but Statement $II$ is correct.