The correct answer is option 1, which states that statement 1 is correct. Let`s dissect each option to better understand the answer:

Option 1 states that only statement 1 is correct. Statement 1 says that the Nagara style of temples is commonly found in the areas between the Himalayas and Vindhyas. This is correct because the Nagara style of temple architecture originated in Northern India and is prevalent in the regions between the Himalayas and the Vindhyas.

Option 2 states that only statement 2 is correct. Statement 2 says that the most striking feature of the Nagara style is its pyramidal shikhara. This statement is incorrect because the Nagara style is characterized by a curved or curvilinear shikhara, not a pyramidal one. The pyramidal shape is more commonly associated with the Dravidian style of temple architecture found in Southern India.

Option 3 states that both statement 1 and 2 are correct. This option is incorrect because statement 2 is incorrect, as explained above.

Option 4 states that neither statement 1 nor 2 is correct. This option is also incorrect because statement 1 is correct, as mentioned earlier.

Therefore, the correct answer is option 1