TASK DEFINITION: In this task, you're given a question, along with a context passage. The passage will not have a direct answer to the question, but can include some information and a clue for the answer. Assuming you can only obtain information about one entity in the passage, your job is to determine whether information from the passage can be used to answer the question. Indicate your choice as `a` for Yes or `b` for No.
PROBLEM: Question: How many students did Wellington College have the year that Vincent was promoted to lieutenant? Passage:Born the son of Colonel Arthur Hare Vincent and Elizabeth Rose Manson and educated at Wellington College and the Royal Military Academy, Woolwich, Vincent was commissioned into the Royal Artillery as a second lieutenant on 24 July 1891. He was promoted to lieutenant on 24 July 1894 and to captain on 13 February 1900. He served with the China Expeditionary Force in late 1900 and then in the Second Boer War in South Africa. Following the end of the war, Vincent left Point Natal for India on the SS Ionian in October 1902 with other officers and men of the J Battery Royal Horse Artillery, and after arrival in Bombay, was stationed in Meerut, Bengal Presidency. In 1903, Vincent was sent to Tokyo to learn Japanese: he served as British military attaché with the Japanese Army during the Russo-Japanese War and, from 1 March 1904, was attached to the 2nd Division of the First Japanese Army in Manchuria.


SOLUTION: a

PROBLEM: Question: How many times did the Wisconsin Progressive Party win the governor of Wisconsin? Passage:Wiley was the Republican candidate for governor of Wisconsin in 1936, but his bid failed. Philip La Follette and the new Wisconsin Progressive Party, which split from the Republicans in 1934, won the election. In 1938, Wiley was elected to the U.S. Senate by defeating incumbent F. Ryan Duffy. In 1944, he was challenged by United States Marine Corps Captain Joseph R. McCarthy in the Republican primary. He defeated McCarthy and won the general election. Wiley, then an isolationist in foreign policy, and Governor Walter S. Goodland supported Republican presidential nominee Thomas E. Dewey in the 1944 race over incumbent Franklin D. Roosevelt, and Dewey won Wisconsin's electoral votes but fell far short nationally.


SOLUTION: b

PROBLEM: Question: Who coached the team against which Downes made his debut for Shropshire? Passage:Downes made his debut for Shropshire in the 1999 MCCA Knockout Trophy against Cumberland. Downes has played Minor counties cricket for Shropshire from 1999 to present, which has included 15 Minor Counties Championship appearances and 14 MCCA Knockout Trophy appearances. He made his List A debut against Devon in the 2001 Cheltenham & Gloucester Trophy. He made 4 further List A appearances, the last of which came against Hampshire in the 2005 Cheltenham & Gloucester Trophy. In his 4 List A matches, he scored 42 runs at an average of 10.50, with a high score of 16. With the ball, he took 3 wickets at a bowling average of 38.33, with best figures of 2/39.


SOLUTION:
a