The correct answer is B. 1975.
The Jammu and Kashmir State Board of School Education (JKBOSE) was established in 1975 by the Government of Jammu and Kashmir. It is an autonomous body responsible for conducting examinations and issuing certificates for school education in the state of Jammu and Kashmir. The JKBOSE conducts examinations for classes 10th and 12th, as well as for various other courses such as the National Eligibility Test (NET) and the Graduate Aptitude Test in Engineering (GATE). The JKBOSE is headquartered in Srinagar, Jammu and Kashmir.
Option A is incorrect because the JKBOSE was established in 1975, not 1947.
Option C is incorrect because the JKBOSE was established in 1975, not 1999.
Option D is incorrect because the JKBOSE was established in 1975, not 2005.