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Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and decide which conclusion(s) logically follow(s) from the given statements. Statements: Some games are boards. No board is a dice. No remote is a game. Conclusions: (I) No game is a dice. (II) Some remotes are boards.
Only conclusion (II) follows.
Both conclusions (I) and (II) follow.
Neither conclusion (I) nor (II) follows.
Only conclusion (I) follows.
Neither conclusion (I) nor (II) follows.
Use Venn diagram zones: If a relationship is not explicitly linked or forced by the constraints, it cannot be considered definitively true.
Use Venn diagram zones: If a relationship is not explicitly linked or forced by the constraints, it cannot be considered definitively true.
Analyze the Statements
1. Some games are boards (overlap). 2. No board is a dice (board and dice are separate). 3. No remote is a game (remote and game are separate).
Evaluate Conclusion I
Conclusion I states 'No game is a dice'. While board is not a dice, some games are boards. The part of the game that is a board cannot be a dice, but the other part of the game could potentially be a dice. Therefore, it does not logically follow.
Evaluate Conclusion II
Conclusion II states 'Some remotes are boards'. The statements indicate a relationship between remotes and games, and games and boards, but provide no direct or indirect information linking remotes to boards. Therefore, this conclusion does not logically follow.
A: Incorrect, since I does not follow. B: Incorrect, since II does not follow. D: Incorrect, since I does not follow.
C is correct because neither conclusion logically follows from the provided statements, as there is no definitive connection between games and dice, nor between remotes and boards.
In syllogisms, remember that 'possibility' and 'certainty' are different. If you can draw a diagram where the conclusion is false, the conclusion is invalid.
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