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Three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance wit
Question

Three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusion(s) logically follow(s) from the statements.
Statements:
I. Some teachers are dancers.
II. All dancers are beautiful.
III. All teachers are honest.
Conclusions:
I. Some teachers are beautiful.
II. Some dancers are honest.​​

A.

Only conclusion II follows.

B.

Only conclusion I follows.

C.

Both conclusions I and II follow

D.

Neither conclusion I nor II follows.

Correct option is C

Statements:
I. Some teachers are dancers.
II. All dancers are beautiful.
III. All teachers are honest.
From the given statements Venn diagram will be: 
Conclusions:
I. Some teachers are beautiful. (Follows, the teachers who are dancers must be beautiful (since all dancers are beautiful).
II. Some dancers are honest. (Follows, Since some teachers are dancers and all teachers are honest, these dancers (who are teachers) are honest.)
Both conclusions I and II follow
Thus, correct option is (c).

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