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Test: Syllogism - 1 - Mechanical Engineering MCQ


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10 Questions MCQ Test General Aptitude for GATE - Test: Syllogism - 1

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

Two 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 conclusions logically follow(s) from the statements.

Statements:

Some horses are not trucks.

All horses are white.

Conclusions:

I. Some white are trucks.

II. Some horses being truck is a possibility.

Detailed Solution for Test: Syllogism - 1 - Question 1

The least possible Venn diagram is:  

      

Conclusions:

I. Some white are trucks. → Not follow (As, there is no definite relation between white and trucks. Hence, false)

II. Some horses being truck is a possibility. → Follows (As, some horses are trucks is not definite, but it can be possible)

 Hence, the correct answer is "Only conclusion II follows".

Test: Syllogism - 1 - Question 2

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 conclusions logically follow(s) from the statements.

Statements:

All birds are crows.

Some crows are parrots.

No crow is a pigeon.

Conclusions:

I. No parrot is a pigeon.

II. Some birds are parrots.

Detailed Solution for Test: Syllogism - 1 - Question 2

Given Statements:

All birds are crows.

Some crows are parrots.

No crow is a pigeon.

The least possible Venn diagram for the given statement is:

Conclusions:

I. No parrot is a pigeon - False (Because, No definite relation given between parrot and pigeon, so it can be possibly only).

II. Some birds are parrots - False (Because, No definite relation given between birds and parrots, so it can be possibly only).

So, Neither conclusion I nor II follows.

Hence, the correct answer is "Option 3".

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Test: Syllogism - 1 - Question 3

In the following question below are given some statements followed by some conclusions based on those statements. Taking 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 conclusion logically follows the given statements.

Statements:

I. No F is N.

II. All N are L.

Conclusions:

I. All F are L.

II. All N are F.

III. Some L are N.

Detailed Solution for Test: Syllogism - 1 - Question 3

Given Statements:

I. No F is N.

II. All N are L.

The least possible Venn diagram for the given statement is:

Conclusions:

I. All F are L - False (Because, All N are L and no F is N, so those part of N that is L will be definitely not F).

II. All N are F - False (Because, No F is N).

III. Some L are N - True (Because, All N are L so, some L are N is definitely true).

So, Only conclusion III follows.

Hence, the correct answer is "Option 2".

Test: Syllogism - 1 - Question 4

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 tigers are lions.

All lions are animals.

Conclusions:

Ⅰ. All tigers are animals.

Ⅱ. No tigers is a bird. 

Detailed Solution for Test: Syllogism - 1 - Question 4

The least possible Venn diagram is:          

Conclusions:

Ⅰ. All tigers are animals. → Follows (As, All tigers are lions and All lions are animals)

Ⅱ. No tigers is a bird. → Do not follow (As, bird is not given in the statement, the relation between bird and tiger cannot be determined)

Hence, only conclusion I follows.

Test: Syllogism - 1 - Question 5

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: 

I. Some X are M.

II. All W are X.

Conclusions:

I. Some M are not W.

II. No W is M.

III. Some M are not X.

Detailed Solution for Test: Syllogism - 1 - Question 5

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

Conclusions:

I. Some M are not W → Does not follow (As some X are M, all W are X. So, it is possible but not definitely true)

II. No W is M → Does not follow (As all W are X, some X are M. So,it is possible but not definitely true)

III. Some M are not X → Does not follow (As some X are M. So, it is possible but not definitely true)

∴ Here, None of the conclusions follow.

Hence, the correct answer is "None of the conclusions follow".

Test: Syllogism - 1 - Question 6

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:

No plate is a spoon.

Some plates are forks.

All forks are knives.

Conclusions:

I. Some plates are knives is a possibility.

II. No spoon is a fork.

Detailed Solution for Test: Syllogism - 1 - Question 6

Statement:

No plate is a spoon.

Some plates are forks.

All forks are knives.

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

Conclusions:

(i) Some plates are knives is a possibility - False (Some plates are forks and All forks are knives, so some plates are knives is definitely true).

(ii) No spoon is a fork - False (Because No direct relation given between them, so It can be possible not definite).

Here, Neither conclusion I nor II follows.

Hence, the correct answer is "Option 2".

Test: Syllogism - 1 - Question 7

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 jugs are bottles.
No bottle is a candy.
All spoons are bottles.

Conclusions:

I. Some jugs are spoons.
Il. No spoon is a candy.
Ill. No jug is a spoon.
IV. No jug is a candy.

Detailed Solution for Test: Syllogism - 1 - Question 7

The least possible diagram for the given statements is as follows

Conclusion:

I. Some jugs are spoons → False → (As Some jugs are bottles and all spoons are bottles, So some spoon are jugs is possibility but not definite)

II. No spoon is a candy → True → (As all spoons are candy and No bottle is candy, So no spoon is candy is definite true)

III. No jug is a spoon → False → (As some jugs are bottles and all spoons are bottles, So No jug is a spoon is a possibility but not definite)

IV. No jug is a candy → False → (As some jugs are bottles and no bottles are candy, So No jug is candy is it is possible but not definite)

Hence, the correct answer is "Either Conclusion I or III and II follow".

Test: Syllogism - 1 - Question 8

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 jims are nests.
Some nests are beams.
All beams are coaches.

Conclusions :

I. Some coaches are nests.
II. Some beams are jims.
III. No beam is a jim.
IV. Some nests are jims.

Detailed Solution for Test: Syllogism - 1 - Question 8

The least possible Venn diagram is:

Conclusions: 

I. Some coaches are nests → TRUE (Some beans are nests and all beans are coaches, so those part of nests that is beams will coaches also).

II. Some beams are jims → FALSE (Because, there is no direct relation given between jims and beans, so it can be possible only).

III. No beam is a jims → FALSE (Because, there is no direct relation given between jims and beans, so it can be possible only).

IV. Some nests are jims → TRUE (Some jims are nests, so some nests are jims also).

Here, Conclusion II and III forms a complementary pair.

So, Both conclusions I and IV and either conclusion II or III follow.

Hence, the correct answer is "Option 3".

Test: Syllogism - 1 - Question 9

In the following question below are given some statements followed by some conclusions based on those statements. Taking 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 conclusion logically follows the given statements.

Statements:

I. All B are V.

II. All K are B.

Conclusion:

I. All K are V.

II. No V is B.

Detailed Solution for Test: Syllogism - 1 - Question 9

Given Statements:

I. All B are V.

II. All K are B.

The least possible Venn diagram for the given statement is:

Conclusions:

I. All K are V - True (Because, All K are B and All B are V gives All K are V).

II. No V is B - False (Because, All B are V).

So, Only conclusion I follows.

Hence, the correct answer is "Option 3".

Test: Syllogism - 1 - Question 10

In the following question below are given some statements followed by some conclusions based on those statements Taking 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 conclusion logically follows the given statements.

Statements:

I. All Z are Y.

II. Some Y are B.

Conclusion:

I. Some B are not Z.

II. Some Y are not Z.

III. Some Z are Y. 

Detailed Solution for Test: Syllogism - 1 - Question 10

Statements: I. All Z are Y. II. Some Y are B.

From statement I, "All Z are Y," we understand that Z is a subset of Y. This means every Z is definitely Y.

From statement II, "Some Y are B," we infer that there exists at least one Y that is also B.

Now, let's evaluate each conclusion:

Conclusion I: Some B are not Z.

  • This conclusion suggests that there exist some B that do not fall under Z. From the statements, we cannot directly conclude this because we do not have any information about the relationship between B and Z. Therefore, conclusion I does not logically follow from the given statements.

Conclusion II: Some Y are not Z.

  • This conclusion states that there are some Y that are not Z. Since statement I tells us that all Z are Y (not necessarily all Y are Z), conclusion II is logically possible. Therefore, conclusion II follows from the given statements.

Conclusion III: Some Z are Y.

  • This conclusion is directly stated in statement I ("All Z are Y"). Therefore, conclusion III logically follows from the given statements.

Now, let's match the conclusions with the options:

a) Both conclusions II and III follow.

  • Conclusion II (Some Y are not Z) and conclusion III (Some Z are Y) are both logically derived from the statements.

b) Both conclusions I and III follow.

  • Conclusion I (Some B are not Z) does not logically follow, but conclusion III (Some Z are Y) does.

c) Only conclusion III follows.

  • This option is incorrect because conclusion II also follows.

d) All conclusions follow.

  • This option is incorrect because conclusion I does not follow.

Therefore, the correct answer is: a) Both conclusions II and III follow.

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