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Read the given statements and conclusions carefully and decide which of the conclusions logically follow(s) from the statements.Statements:(i) All gir
Question

Read the given statements and conclusions carefully and decide which of the conclusions logically follow(s) from the statements.

Statements:

(i) All girls in my class are good dancers.

(ii) All good dancers are acrobats.

(iii) Some boys in my class are acrobats.

Conclusions:

(i) Some boys in my class are good dancers.

(ii) All acrobats in my class are good dancers.

(iii) All girls in my class are acrobats.

A.

Both conclusions (ii) and (iii) follow.


B.

Both conclusions (i) and (ii) follow.


C.

Only conclusion (iii) follows.


D.

Only conclusion (i) follows.

Correct option is C

Given Statements:

All girls in my class are good dancers.

    This means every girl in the class belongs to the set of good dancers.

    All good dancers are acrobats.

      This implies that the set of good dancers is a subset of the set of acrobats.

      Some boys in my class are acrobats.

        This indicates that there is at least one boy in the class who belongs to the set of acrobats.
        Conclusions:

        Some boys in my class are good dancers.

          There is no explicit statement or valid inference linking boys in the class to good dancers. While some boys are acrobats, we cannot deduce that they are good dancers.
          Conclusion (i) does not follow.

          All acrobats in my class are good dancers.

            The second statement says that "all good dancers are acrobats," but it does not imply the reverse ("all acrobats are good dancers"). Thus, this conclusion cannot be drawn.
            Conclusion (ii) does not follow.

            All girls in my class are acrobats.

              From the first statement ("All girls in my class are good dancers") and the second statement ("All good dancers are acrobats"), we can deduce that all girls in the class are acrobats.
              Conclusion (iii) follows.
              Correct Answer: C. Only conclusion (iii) follows.

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