Given below are three statements followed by three conclusions. Take the three statements to be true even if they vary from commonly known facts. Read the statements and decide which conclusions follow logically from the statements.
Statements:
1. All actors are musicians.
2. No musician is a singer.
3. Some singers are dancers.
Conclusions:
1. Some actors are singers.
2. Some dancers are actors.
3. No actor is a singer.
Answer Choices:
a) Only conclusion 1 follows.
b) Only conclusion 2 follows.
c) Only conclusion 3 follows.
d) At least 2 of the conclusions follows.
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It is a good idea to use draw Venn diagram in such problems. The following is a Venn diagram illustrating the above statements.
From the Venn diagram, we can see that