Step 1: Understanding the Concept:
This question tests knowledge of soil classification and the chemical composition of different types of water. We need to evaluate each statement based on established scientific facts.
Step 2: Evaluating Statement I:
Vertisol is a soil order characterized by its high clay content, deep cracks during dry periods, and self-mulching behavior.
Red soils, on the other hand, are typically classified under the soil order Alfisols or Ultisols, depending on their development and climate.
The common soil order for red soils is not Vertisol.
Therefore, Statement I is false.
Step 3: Evaluating Statement II:
Brackish water is water that has a salinity level between freshwater and seawater.
The predominant dissolved salts in brackish water are sodium chloride (NaCl) and other chloride and sulfate salts of calcium and magnesium.
Nitrate salts are not the primary salts in brackish water. Nitrate is a nutrient and is typically found in much lower concentrations.
Therefore, Statement II is false.
Step 4: Final Answer:
Since both Statement I and Statement II are false, the correct option is (B).