The correct answer is only Rajasthan.

Sikkim is located at approximately 27°N latitude. The latitudes that pass through Sikkim are the same as the latitudes that pass through other locations at the same latitude. Therefore, the latitudes that pass through Sikkim are all at approximately 27°N latitude.

Out of the given options, Rajasthan is the only state located at approximately 27°N latitude. Punjab is located at approximately 31°N latitude, Himachal Pradesh is located at approximately 31°N to 33°N latitude, and Jammu & Kashmir is located at approximately 32°N to 37°N latitude. Therefore, the latitudes that pass through Sikkim do not pass through Punjab, Himachal Pradesh, or Jammu & Kashmir.