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Byju's Answer

Standard XII

Mathematics

Series

Statements: A...

Question

Statements: All actors are dancers.
No dancer is a singer.
Some singers are musicians.
Conclusions: I. No musician is a dancer.
II. Some dancers being musicians 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 II follows.
There are two cases possible.
Some M can be D.
This is a possibility but not always true.
Some D can be M.
This is a possibility but not always true.
Thus only conclusion II is correct.
Hence, Option B is correct.

Suggest Corrections

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. No musician is a dancer. II. Some dancers being musicians is a possibility.

The correct option is A if only conclusion II follows.There are two cases possible.Some M can be D.This is a possibility but not always true.Some D can be M.This is a possibility but not always true.Thus only conclusion II is correct.Hence, Option B is correct.

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

The correct option is A if only conclusion II follows.
There are two cases possible.
Some M can be D.
This is a possibility but not always true.
Some D can be M.
This is a possibility but not always true.
Thus only conclusion II is correct.
Hence, Option B is correct.