1. Some football players play cricket. 2. All cricket players play hockey. Among the options given below, the statement that logically follows from the two statements 1 and 2 above, is: A. No football player plays hockey B. Some football players play hockey C. All football players play hockey D. All hockey players play football

GATE 2021 · General Aptitude · Statements Follow · medium

Answer: B. Some football players play hockey

1. Identify the intersection from Statement 1: Statement 1 says: Some football players play cricket. So there exists at least one person x such that x plays football AND x plays cricket.
2. Apply Statement 2 to those players: Statement 2 says: All cricket players play hockey. So for every person x, if x plays cricket then x plays hockey. Applying this to the cricket-playing football player found in Step 1: that person also plays hockey.
3. Combine to get the conclusion: We have: some football player x plays cricket (Step 1). All cricket players play hockey (Step 2). Therefore x also plays hockey. Hence at least one football player plays hockey, which is option B: 'Some football players play hockey'.