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Byju's Answer

Standard XII

Mathematics

Complement of an Event

Statements: A...

Question

Statements: All actors are dancers.
No dancer is a singer.
Some singers are musicians.
Conclusions: I. Some actors being musicians is a possibility.
II. Some singers being actors is a possibility.

if only conclusion I follows.

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if only conclusion II follows.

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if either conclusion I or conclusion II follows.

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if neither conclusion I nor conclusion II follows.

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if both conclusion I and conclusion II follow.

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Solution

The correct option is A if only conclusion I follows.
The following cases possible.
Some A can be M.
This is a possibility but not always true.
Some S can be A.
This is not true.
Thus only conclusion I is correct.
Hence, Option A is correct.

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Similar questions

Statement: All Actors are Musicians. No Musician is a Singer. Some Singers are Dancers. Some Dancersare Musicians.

Conclusions :

I : Some Actors are Singers

II : Some Dancers are Actors

III : No Actor is a Singer

Q. Take the given statement(s) as true and decide which of the conclusion logically follows the statements.
Statement: All Actors are Musicians. No Musician is a Singer. Some Singers are Dancers. Some Dancers are Musicians.
Conclusions:

I

Some Actors are Singers

I I

Some Dancers are Actors

I I I

No Actor is a Singer

Q. Directions : Take the given statement(s) as true and decide which of the conclusion logically follows from the statements.
Statement: All Actors are Musicians, No Musician is a Singer. Some Singers are Dancers. Some Dancers are Musicians.
Conclusions:I. Some Actors are Singers
II. Some Dancers are Actors
III. No Actor is a singer

Take the given statement(s) as true and decide which of the conclusion logically follows from the
statements.

Statement: All Actors are Musicians. No Musician is a Singer. Some Singers are Dancers. Some Dancers are Musicians.
Conclusions :
I : Some Actors are Singers
II : Some Dancers are Actors
III : No Actor is a Singer

Choose the correct option about conclusion drawn from the statements given below.

Statements:

All Actors are Musicians.

No Musician is a Singer.

Some Singers are Dancers.

Some Dancers are Musicians.

Conclusions :

I. Some Actors are Singers.

II. Some Dancers are Actors.

Ill. No Actor is a Singer.

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Statements: All actors are dancers. No dancer is a singer. Some singers are musicians.Conclusions: I. Some actors being musicians is a possibility. II. Some singers being actors is a possibility.

The correct option is A if only conclusion I follows.The following cases possible.Some A can be M.This is a possibility but not always true.Some S can be A.This is not true.Thus only conclusion I is correct.Hence, Option A is correct.

Statements: All actors are dancers.
No dancer is a singer.
Some singers are musicians.
Conclusions: I. Some actors being musicians is a possibility.
II. Some singers being actors is a possibility.

The correct option is A if only conclusion I follows.
The following cases possible.
Some A can be M.
This is a possibility but not always true.
Some S can be A.
This is not true.
Thus only conclusion I is correct.
Hence, Option A is correct.