Solution:The explanation of the above statements is as follows:
1. Devprayag is located at the confluence of the Bhagirathi and Alaknanda rivers. Hence, statement (1) is correct.
2. Rudraprayag is located at the confluence of the Mandakini and Alaknanda rivers. Hence, statement (2) is also correct.
3. Alaknanda flows in Chamoli, Tehri Garhwal and Pauri Garhwal district. Badrinath is a Nagar Panchayat of Chamoli district which is situated on the bank of Alaknanda river. Hence statement (3) is correct.
4. Joshimath (Badrinath) was established as a major pilgrimage site by Adi Shankaracharya, not Kedarnath. It is one of the 12 Jyotirlingas of Lord Shiva in India. Kedarnath is known as Samadhi Sthal of Adi Sankaracharya. Hence, statement (4) is wrong.