Demographic facts from the 20th Livestock Census (2019):

• Total livestock population in India was $536.76\text{ million}$, of which total cattle population was $193.46\text{ million}$, representing exactly $\frac{193.46}{536.76} \times 100\% = 36.04\%$. Thus, Statement (I) is correct.
• Out of the $193.46\text{ million}$ cattle, exotic/crossbred cattle numbered $51.36\text{ million}$, representing $\frac{51.36}{193.46} \times 100\% = 26.54\% \approx 26.5\%$. Thus, Statement (II) is correct.
  
  Option analysis:
  Both Statement (I) and Statement (II) are correct, matching Option 1 (Key 1).

Breed-wise Census Report insights:

• Among indigenous cattle breeds, dwarf breeds and localized pastoral populations such as Punganur (Andhra Pradesh) and Belahi (Haryana/Chandigarh foothills) registered critically low census figures, making them the lowest enumerated distinct breeds. Statement (I) is correct.
• In buffaloes, Murrah has by far the largest population among recognized pure breeds (over $42\%$ of breedable population), but the second highest pure breed population is Mehsana or Marathwadi/Jaffarabadi, not Surti (Surti has a much smaller localized population in Gujarat). Thus, Statement (II) is incorrect.
  
  Option analysis:
  Statement (I) is correct but Statement (II) is incorrect, matching Option 3 (Key 3).