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Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: Some actors are dancers. Some dancers are singers. Conclusions: (I) Some actors are singers. (Il) No singer is a dancer.

AOnly conclusion I| follows

BNeither conclusion I nor Il follows

CBoth conclusions I and Il follow

DOnly conclusion I follows

Answer:

B. Neither conclusion I nor Il follows

Read Explanation:

Let’s analyze carefully

Statements:

  1. Some actors are dancers

  2. Some dancers are singers

This means:

  • There is some overlap between actors & dancers

  • There is some overlap between dancers & singers

But we are not sure whether the same dancers are involved in both statements.

Conclusion (I): Some actors are singers

Not necessarily true.
The dancers who are actors may be different from the dancers who are singers.

Does not follow

Conclusion (II): No singer is a dancer

This directly contradicts the statement “Some dancers are singers”

Does not follow

Final Answer: Neither (I) nor (II) follows


Related Questions:

Direction: Two statements are followed by three conclusions I, II, and III. Assuming these statements to be true, even if they seem to be at variance from commonly known facts, then decide which of the given conclusions logically follows from the given statements.
Statement: 
Some carnations are petunias.
All petunias are sunflower.

Some sunflowers are not carnations


Conclusions: 
I. Some sunflowers are carnations.
II. All carnations are sunflowers.
III. All petunias are carnations

IV. No sunflower is carnation.

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All goats are trees. Some trees are cloves. Some cloves are peanuts. Conclusions: (I): Some peanuts are goats. (II): Some cloves are goats.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All rocks are pens. Some flowers are rocks. All trees are flowers. Conclusions: (I) Some trees are rocks. (II) Some pens are flowers.

This question has two statements followed by two conclusions numbered I and Il. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions logically follow(s) from the given statements.

Statements:

No motor is a yak.

Some yaks are wipes.

Conclusions:

(1) No wipe is a yak.

(Il) Some wipes are yaks.

Statements: No circles are squares. Some squares are triangles.

Conclusions: I. Some triangles are not circles.

II. No triangle is a circle.