Problem: After the break-up of the Tibetan Empire in the mid-9th century, central rule was largely nonexistent over the region for 400 years. But Buddhism survived and when the Mongols conquered the region, Buddhism was adopted as the official religion of their empire. In 1271, Kublai Khan established the Yuan Dynasty and Tibet remained a semi-autonomous entity within it. From the second half of the 14th century until the early 17th, Tibet was ruled by competing Buddhist schools. However, it was during this period that the Gelug order was founded in 1409 and the institution of the Dalai Lama was established in 1569 with the priest-patron relationship between the Altan Khan and the 3rd Dalai Lama . The Dalai Lamas are said to be the reincarnates of the Bodhisattva of Compassion, Avalokiteśvara. It was when the 5th Dalai Lama Ngawang Lobsang Gyatso succeeded in establishing the Ganden Phodrang government and Gelug supremacy in Tibet, with the help of the Güshi Khan of the Khoshut Khanate, that the post took on the dual role of political and religious leadership . After Lobsang Gyatso's mortal passing in 1682, which was kept a secret for 15 years, there was a period of anarchy and invasions that eventually led to the establishment of Qing protectorate over Tibet in 1720 that would reach its peak in the 1790s in response to attacks by Nepal, be renewed in 1903 when the British invaded, and would last until 1912. Tibet became independent with the demise of the Manchu Qing dynasty and would remain so until 1950.
Answer this question based on the article: How many years after the Gelug order was founded was the institution of the Dalai Lama established?
A: 160

Problem: The Treaty of Sèvres was signed by the Ottoman Empire and was followed by the occupation of Artvin by Georgian forces on 25 July. The Treaty of Alexandropol  was the first treaty signed by the Turkish revolutionaries. It nullified the Armenian activities on the eastern border, which was reflected in the Treaty of Sèvres as a succession of regions named Wilsonian Armenia. The 10th item in the Treaty of Alexandropol stated that Armenia renounced the Treaty of Sèvres, which stipulated Wilsonian Armenia. After the peace agreement with the Turkish nationalists, in late November, a Soviet-backed Communist uprising took place in Armenia. On 28 November 1920, the 11th Red Army under the command of Anatoliy Gekker crossed over into Armenia from Soviet Azerbaijan. The second Soviet-Armenian war lasted only a week. After their defeat by the Turkish revolutionaries the Armenians were no longer a threat to the Nationalist cause. It is also possible to claim that had the ADR been content with the boundaries as of 1919, it could have shown more resistance to the Bolshevik conquest, both internally and externally, but that was not how things happened. On 16 March 1921, the Bolsheviks and Turkey signed a more comprehensive agreement, the Treaty of Kars, which involved representatives of Soviet Armenia, Soviet Azerbaijan, and Soviet Georgia. The arms left by the defeated ADR forces were sent to the west for use against the Greeks.
Answer this question based on the article: What happened first: the Treaty of Sèvres or the Treaty of Kars?
A: The Treaty of Sèvres

Problem: On 21 September, 2015, Canadians Robert Hall and John Ridsdel, as well as Norwegian Kjartan Sekkingstad, and  Marites Flor; a Filipino woman, were abducted on Samai island near Davao. Ridsdel was beheaded by Abu Sayyaf on 25 April 2016 following a ransom deadline. ASG reportedly demanded more than $8.1 million for Ridsdel and the others. On 3 May, 2016, a video of the Ridsdel execution was released, along with new demands for the remaining hostages. A masked captor said, "Note to the Philippine government and to the Canadian government: The lesson is clear. John Ridsdel has been beheaded. Now there are three remaining captives here. If you procrastinate once again the negotiations, we will behead this all anytime". On 15 May, Hall  appeared in a new video, announcing that he and Norwegian Kjartan Sekkingstad would be decapitated at 3pm on Monday 13 June absent a ransom of $16 million. Both hostages wore orange coveralls, similar to hostages in videos produced by ISIL, to which Abu Sayyaf had previously pledged allegiance. The deadline passed. Hall was beheaded. On 24 June, Abu Sayyaf released Filipina Marites Flor. She was subsequently flown to Davao to meet President-elect Rodrigo Duterte. Duterte said he directed negotiations with the Abu Sayyaf. He did not elaborate. On 17 September, 2016, remaining hostage Norwegian Kjartan Sekkingstad was released on Jolo island. Abu Ramie, an ASG spokesman, claimed $638,000 was paid as ransom.
Answer this question based on the article: How many months was Kjartan Sekkingstad captive for?
A:
12