Explanation:

Birth

• He was born as Narendranath Datta on 12th January 1863.

• Therefore, every year on 12th January National Youth Day is celebrated to observe the birth anniversary of Swami Vivekananda. 

• In 1893, upon the request of Maharaja Ajit Singh of the Khetri State, he took the name ‘Vivekananda.’

Contributions

• Introduced the world to the Indian philosophies of Vedanta and Yoga.

• He preached ‘neo-Vedanta’, an interpretation of Hinduism through a Western lens, and believed in combining spirituality with material progress.

• Laid the greatest emphasis on education for the regeneration of our motherland. Advocated a man-making character-building education.

• Best known for his speech at the World Parliament of Religion in Chicago in 1893.

Associated Organizations

• He was the chief disciple of the 19th-century mystic Ramakrishna Paramhansa and established the Ramakrishna Mission in 1897.

• Ramakrishna Mission is an organization which works in the area of value-based education, culture, health, women's empowerment, youth and tribal welfare and relief and rehabilitation. 

• In 1899, he established the Belur Math, which became his permanent abode.

Hence both statements are correct.