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Test: Syllogism (April 3) - CAT MCQ


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10 Questions MCQ Test - Test: Syllogism (April 3)

Test: Syllogism (April 3) for CAT 2024 is part of CAT preparation. The Test: Syllogism (April 3) questions and answers have been prepared according to the CAT exam syllabus.The Test: Syllogism (April 3) MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Syllogism (April 3) below.
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Test: Syllogism (April 3) - Question 1

In the question below there are three statements followed by three conclusions I, II and III. You have to take the three given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the three statements disregarding commonly known facts.
Statements:
All wall are portrait.
Some wall are landscape.
Only few landscape are door.
Conclusions:
I. All door being landscape is a possibility.
II. Some portrait are door.
III. Some wall are door.

Detailed Solution for Test: Syllogism (April 3) - Question 1

Following figure can be formed:

Or

From the figure, only conclusion I follows.
Hence, option b.

Test: Syllogism (April 3) - Question 2

In the question below there are four statements followed by three conclusions I, II and III. You have to take the three given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the four statements disregarding commonly known facts.

Statements:

Only few color are pink.

Some pink are dark.

No dark is blind.

All pink are black.

Conclusions:

I. Some black are color.

II. Some black are not blind.

III. All dark being black is a possibility.

Detailed Solution for Test: Syllogism (April 3) - Question 2

Following figure can be formed:

Or

From the figure, all conclusions I, II and III follow.

Hence, option e.

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Test: Syllogism (April 3) - Question 3

In the question below there are three statements followed by three conclusions I, II and III. You have to take the three given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the three statements disregarding commonly known facts.

Statements:

Only words are letters.

Mostly alphabets are words.

No sentence is alphabet.

Conclusions:

I. Some words are letters.

II. Some words are sentences.

III. Some letters are alphabets.  

Detailed Solution for Test: Syllogism (April 3) - Question 3

Following figure can be formed:


From the figure, only conclusion I follows.

Hence, option b.

Test: Syllogism (April 3) - Question 4

In the question below there are three statements followed by three conclusions I, II and III. You have to take the three given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions definitely follows from the three statements disregarding commonly known facts.

Statements:

Only a few Company is Private

All School is Private

No School is Public

Conclusions:

I. Some School can be Company

II. Some Private can be Public

III. Some Public is not Company

Detailed Solution for Test: Syllogism (April 3) - Question 4

Analyzing Each Conclusion

  1. Conclusion I: Some School can be Company

    • Since all Schools are Private, and we know that "Only a few Company is Private," there is no direct contradiction here. This implies a possibility that some Private entities (Schools) may overlap with those Companies that are Private.
    • Thus, Conclusion I follows because it is possible for some Schools to be Companies based on the information provided.
  2. Conclusion II: Some Private can be Public

    • Since all Schools are Private, and no School is Public, we can infer that there is no overlap between Private and Public, as Schools are part of Private and are entirely excluded from Public.
    • Therefore, Conclusion II does not follow.
  3. Conclusion III: Some Public is not Company

    • This statement would be true if there is no relationship between Public and Company. The statements do not suggest any overlap between Public and Company, so we can infer that there may be some Public entities that are not Companies.
    • Thus, Conclusion III follows.

Final Answer:

The correct answer is: b) Only conclusion I and conclusion III follow

Test: Syllogism (April 3) - Question 5

In the question below there are three statements followed by three conclusions I, II and III. You have to take the three given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the three statements disregarding commonly known facts.

Statements:

42% Beach are Sand

A few Sand are Dirt

Only Dirt is Castle

Conclusions:

I. No Beach is Castle

II. Some Dirt are not Sand

III. All Dirt cannot be Beach

Detailed Solution for Test: Syllogism (April 3) - Question 5

The following Venn diagram can be drawn from the given statements,

As, only Dirt is Castle, so, no Beach is Castle. Thus, conclusion I follows.

The part of Dirt which is Castle is not Sand. Thus, conclusion II follows.

As, only Dirt is Castle, so, all Dirt cannot be Beach. Thus, conclusion III follows.

So, all the conclusions follow.

Hence, option e.

Test: Syllogism (April 3) - Question 6

In the question below there are three statements followed by two conclusions I and II. You have to take the three given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the four statements disregarding commonly known facts.

Statements:

Mostly pets are cats

Only cats are dogs

No cats are rabbits

Conclusions:

I. Some pets are rabbits.

II. All pets being rabbits is not a possibility.

Detailed Solution for Test: Syllogism (April 3) - Question 6

Following figure can be formed:

From the figure, only conclusion II follows.

Hence, option d.

Test: Syllogism (April 3) - Question 7

In the question below are given three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

Only a few rides are trips.

No trip is mountain.

All mountains are trees.

Conclusions:

I: Some trees are not trips.

II: All rides being trips is not a possibility.

Detailed Solution for Test: Syllogism (April 3) - Question 7

The figure deduced from the statements,

Therefore, both conclusions I and II follow.

Hence, option d.

Test: Syllogism (April 3) - Question 8

In the question below there are three statements followed by two conclusions I and II. You have to take the three given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the four statements disregarding commonly known facts.

Statements:

No fingers are legs

Mostly legs are hands

Only a few hands are hairs

Conclusions:

I. Some legs are not hairs
II. All hands being fingers is a possibility.

Detailed Solution for Test: Syllogism (April 3) - Question 8

Following figure can be formed:

From the figure, only conclusion II follows

Hence, option a.

Test: Syllogism (April 3) - Question 9

In the question below are given three statements followed by two conclusions I, II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

No chair is a table.

No table is a bench.

Only a few benches are wood.

Conclusions:

I. Some wood being chair is a possibility.

II. Some wood is not a table.

Detailed Solution for Test: Syllogism (April 3) - Question 9

The least possible Venn diagram for the given statements is as follows:

I. Some wood being chair is a possibility → True (as there is no definite relation between Wood and Chair so, the possibility is true.)

II. Some wood is not a table → True (as no table is bench and only a few benches are wood so, the part of wood which is bench is not table)

Hence, both I and II follow.

Test: Syllogism (April 3) - Question 10

In the question below, there are two statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

All Sky are Clouds.

All Clouds are Rain.

Conclusions:

I. All Sky are Rain.

II. Some Rain are Sky.

Detailed Solution for Test: Syllogism (April 3) - Question 10

The least possible Venn Diagram for the given statements will be as follows,

I. All Sky are Rain → True (As all sky are clouds and all clouds are rain. Thus, All sky are rain)

II. Some Rain are Sky → True (As shown in the figure)

Hence, ‘Both I and II follows’ is the correct answer.

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