Select the correct answerStatements:1. Some actors are singers.2. All singers are dancers.Conclusions:1. Some actors are dancers.2. No singer is actor.radio_button_uncheckedOnly (1) followsradio_button_uncheckedOnly (2) followsradio_button_uncheckedEither (1) or (2) followsradio_button_uncheckedNeither (1) nor (2) followsradio_button_uncheckedBoth (1) and (2) follow
Question
Select the correct answerStatements:1. Some actors are singers.2. All singers are dancers.Conclusions:1. Some actors are dancers.2. No singer is actor.radio_button_uncheckedOnly (1) followsradio_button_uncheckedOnly (2) followsradio_button_uncheckedEither (1) or (2) followsradio_button_uncheckedNeither (1) nor (2) followsradio_button_uncheckedBoth (1) and (2) follow
Solution
The correct answer is "Only (1) follows".
Here's why:
Statement 1: Some actors are singers. Statement 2: All singers are dancers.
From these two statements, we can infer that some actors, who are also singers, are dancers. So, conclusion 1: "Some actors are dancers" follows.
However, we cannot infer that "No singer is actor" because the first statement clearly says that some actors are singers. So, conclusion 2 does not follow.
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