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DIRECTIONS: Each question consists of, five statements (a-e) followed by options consisting of three statements put together in a specific order. Choose the option which indicates a valid argument; that is, where the third statement is a conclusion drawn from the preceding two statements.
a) All captains are great players.
b) Some captains are successful sports administrators.
c) Ritwik is a great player.
d) Ritwik is a captain and successful sports administrator.
e) Some successful sports administrators are great players.
Choose the correct option:
  • a)
    ACD
  • b)
    ABE
  • c)
    DCA
  • d)
    EDC
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
DIRECTIONS: Each question consists of, five statements (a-e) followed...
As can be seen in the Venn diagram given above, option (b) is the correct answer.
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DIRECTIONS: Each question consists of, five statements (a-e) followed...
Understanding the Statements
To determine the validity of the arguments, we must analyze the given statements:
- a) All captains are great players.
- b) Some captains are successful sports administrators.
- c) Ritwik is a great player.
- d) Ritwik is a captain and successful sports administrator.
- e) Some successful sports administrators are great players.
Analyzing the Options
Now, let's break down the options to see which set of statements forms a valid argument where the conclusion logically follows from the premises.
Option A: ACD
- Premise 1: All captains are great players.
- Premise 2: Ritwik is a great player.
- Conclusion: Ritwik is a captain and successful sports administrator.
This is invalid as the conclusion does not logically follow from the premises. Ritwik could be a great player without being a captain.
Option B: ABE
- Premise 1: All captains are great players.
- Premise 2: Some captains are successful sports administrators.
- Conclusion: Some successful sports administrators are great players.
This is valid because if all captains are great players and some captains are successful sports administrators, it follows that some successful sports administrators (those who are captains) are indeed great players.
Option C: DCA
- Premise 1: Ritwik is a captain and successful sports administrator.
- Premise 2: Ritwik is a great player.
- Conclusion: All captains are great players.
This is invalid as the conclusion cannot be drawn from the given premises.
Option D: EDC
- Premise 1: Some successful sports administrators are great players.
- Premise 2: Ritwik is a captain and successful sports administrator.
- Conclusion: Ritwik is a great player.
While this might seem plausible, it does not logically derive from the premises given.
Conclusion
Thus, the correct answer is option B: ABE. This option is valid as it logically connects the premises to the conclusion.
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DIRECTIONS: Each question consists of, five statements (a-e) followed by options consisting of three statements put together in a specific order. Choose the option which indicates a valid argument; that is, where the third statement is a conclusion drawn from the preceding two statements.a) All captains are great players.b) Some captains are successful sports administrators.c) Ritwik is a great player.d) Ritwik is a captain and successful sports administrator.e) Some successful sports administrators are great players.Choose the correct option:a)ACDb)ABEc)DCAd)EDCCorrect answer is option 'B'. Can you explain this answer?
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