The correct answer is A. Budgam.
Charar-i-Sharief is a town and a notified area committee in Budgam district in the Indian state of Jammu and Kashmir. It is located 30 kilometers from Srinagar, the summer capital of Jammu and Kashmir. The town is famous for the Charar-i-Sharief shrine, which is a Muslim shrine dedicated to Sheikh Noor-ud-Din Wali, a Sufi saint. The shrine is one of the most important pilgrimage sites in Kashmir.
The town is also home to a number of other historical and religious sites, including the Jamia Masjid, the Shah-i-Hamdan Mosque, and the Khanqah-i-Moula. The town is also a popular tourist destination, and is known for its scenic beauty.
The other options are incorrect because:
- Kathua is a district in the Indian state of Jammu and Kashmir. It is located in the Jammu region of the state. The district is known for its historical and religious sites, including the Bahu Fort, the Shri Raghunath Temple, and the Mata Vaishno Devi Temple.
- Rajouri is a district in the Indian state of Jammu and Kashmir. It is located in the Jammu region of the state. The district is known for its historical and religious sites, including the Rajouri Fort, the Peer Baba Shrine, and the Katra Fort.
- Leh is a district in the Indian state of Jammu and Kashmir. It is located in the Ladakh region of the state. The district is known for its natural beauty, including the Leh Palace, the Shanti Stupa, and the Hemis Monastery.