Syllogism Test-1

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Syllogism Test-1

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Question 1
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In each of the questions below given four statements followed by three conclusions numbered I, II and III. 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.
Q.
Statements:
All cards are notes.
All notes are tyres.
All tyres are books.
All books are rods.
Conclusions:
I. Some rods are notes.
II. Some books are tyres.
III. Some tyres are cards

A
I and II follow

B
I and III follow

C
II and III follow

D
All I, II and III follow

E
None of the above

Solution
Question 2
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In each of the questions below given four statements followed by three conclusions numbered I, II and III. 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.
Q.
Statements :
Some seeds are flowers.
All flowers are trees.
All trees are leaves.
Some leaves are plants
Conclusions:
I. Some plants are flowers.
II. Some leaves are seeds.
III. Some leaves are flowers.

A
I and II follow

B
I and III follow

C
II and III follow

D
All I, II and III follow

E
None of the above

Solution

It is clear from the venn diagram that only conclusion 2 and 3 follows.
Question 3
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In each of the questions below given four statements followed by three conclusions numbered I, II and III. 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.
Q.
Statements :
Some lenses are poles.
All poles are skies.
Some skies are boxes.
No box is a bottle.
Conclusions:
I. Some bottles are lens
II. Some boxes are poles.
III. No bottle is a lens.

A
I and II follows

B
II and III follows

C
Only I follows

D
Only II follows

E
Only III follows
Solution
To solve the problem, we need to analyze the statements and the conclusions based on logical reasoning.
Given Statements:
Some lenses are poles.
All poles are skies.
Some skies are boxes.
No box is a bottle.
Analysis of Conclusions:
- Conclusion I: Some bottles are lenses.
- This cannot be true since there is no direct relation established between bottles and lenses in the statements. The statements do not imply any relationship between them.
- Conclusion II: Some boxes are poles.
- This conclusion does not logically follow. The statements indicate that some skies are boxes and all poles are skies, but this does not mean that boxes can be poles.
- Conclusion III: No bottle is a lens.
- This conclusion follows logically from statement 4 ("No box is a bottle ") and statement 1 ("Some lenses are poles "). Since some lenses are poles and no box is a bottle, it suggests that bottles cannot be lenses.
Final Evaluation:
- Only Conclusion III logically follows.
Thus, the correct answer is e) Only III follows.
Question 4
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In the questions below are given four statements followed by for conclusions numbered I, II, III and IV. You have to take 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.
Q.
Statements :
All cups are bottles.
Some bottles are mugs.
No mug is a plate.
Some plates are tables.
Conclusions:
I. Some tables are bottles.
II. Some plates are cups
III. No table is a bottle.
IV. Some mugs are cups.

A
Only I follows

B
Only II follows

C
Only III and || follows

D
Only IV follows

E
only III follows

Solution

The Venn diagram for the syllogism is as shown below:
The conclusions I and III are complementary in nature ie. One of the two has to be correct universally and both can 't be correct at the same time. And the other conclusions are false. Hence, option (E) is the right answer.
Question 5
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In the questions below are given four statements followed by for conclusions numbered I, II, III and IV. You have to take 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.
Q.
Statements :
All birds are horses.
All horses are tigers.
Some tigers are lions.
Some lions are monkeys.
Conclusions:
I. Some tigers are horses.
II. Some monkeys are birds.
III. Some tigers are birds.
IV. Some monkeys are horses.

A
I and III follow

B
I, II and III follow

C
II, III and IV follow

D
All I, II, III and IV follow

E
None of the above

Solution

Conclusions:
I. True
II. False
III. True
IV. False
So, only conclusion I &III follow
Question 6
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In the questions below are given four statements followed by for conclusions numbered I, II, III and IV. You have to the take 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 from the given statements disregarding commonly known facts.
Q. Statements :
Some Clothes are lamps.
Some flowers are lamps.
Some lamps are dresses.
All dresses are shirts.
Conclusions:
I. Some shirts are Clothes
II. Some shirts are flowers.
III. Some flowers are Clothes.
IV. Some dresses are Clothes.

A
None follows

B
Only I follows

C
Only II follows

D
Only III follows

E
Only IV follows

Solution

A is the correct option
lamps = some clothes, some flowers and some dresses.
All dresses are shirts, meaning, some lamps are shirts.
Hence, none of the conclusion is correct.
Question 7
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In each of the questions below are given four statements followed by for conclusions numbered I, II, III and IV. You have to the take 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 from the given statements disregarding commonly known facts.
Q.
Statements :
Some benches are walls.
All walls are houses.
Some houses are jungles.
All jungles are windows.
Conclusions:
I. Some windows are benches.
II. Some jungles are walls.
III. Some houses are benches.
IV. Some windows are houses.

A
I and II follow

B
I and III follow

C
III and IV follow

D
II, III and IV follow

E
None of the above

Solution

The correct option is C.
The venn diagram for the question is follow-
Question 8
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In each of the questions below are given four statements followed by for conclusions numbered I, II, III and IV. You have to take 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 from the given statements disregarding commonly known facts.
Q.
Statements :

No cream is a lemon.

All lemons are onions.

All cream is a grapes.

Conclusion :

(i) Some grapes are not onions.

(ii) All lemons are grapes is a possibility

A
If only conclusion I follows;

B
If only conclusion II follows;

C
If either I or II follows;

D
If neither I nor II follows

E
if both I and II follows
Solution
Statements:

No cream is a lemon.

All lemons are onions.

All cream is grapes.

Conclusion:

(i) Some grapes are not onions.

(ii) All lemons are grapes is a possibility.

To determine whether each conclusion logically follows from the given statements, we need to evaluate them one by one:
(i) Some grapes are not onions.
This conclusion can be evaluated using the given statements:

No cream is a lemon. (This statement is unrelated to the conclusion.)

All lemons are onions. (This statement implies that all lemons are onions, so there can be no grapes that are not onions.)

All cream is grapes. (This statement is unrelated to the conclusion.)

Since there is no direct or indirect information that supports the conclusion that some grapes are not onions, we can conclude that conclusion (i) does not follow from the given statements.
(ii) All lemons are grapes is a possibility.
This conclusion can also be evaluated using the given statements:

No cream is a lemon. (This statement is unrelated to the conclusion.)

All lemons are onions. (This statement implies that lemons cannot be grapes. Therefore, the conclusion that all lemons are grapes is not a possibility.)

All cream is grapes. (This statement is unrelated to the conclusion.)

Since there is no direct or indirect information that supports the conclusion that all lemons are grapes, we can conclude that conclusion (ii) does not follow from the given statements.
Based on the evaluation of both conclusions, we can determine that neither conclusion (i) nor conclusion (ii) logically follows from the given statements. Therefore, the correct answer is option D: If neither I nor II follows.
Question 9
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In each of the questions below are given four statements followed by for conclusions numbered I, II, III and IV. You have to the take 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 from the given statements disregarding commonly known facts.
Q.
Statements :

Some trees are mangoes.

All mangoes are bananas.

All tomatoes are bananas.

Conclusions:

(i) All trees are tomatoes is a possibility.

(ii) No bananas are tree is a possibility.

A
If only conclusion I follows;

B
If only conclusion II follows;

C
If either I or II follows;

D
If neither I nor II follows; and

E
If both I and II follow

Solution

The answer is A because some mangoes are trees and all mangoes are bananas so some mangoes which are tree would come into bananas always hence conclusion II is not implicit.
Question 10
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In each of the questions below are given four statements followed by for conclusions numbered I, II, III and IV. You have to the take 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 from the given statements disregarding commonly known facts.
Q.
Statements :

All mobiles are cellular.

All cellular are mechanics.

All microphones are mobiles.

Conclusions :

(i) No microphone is mechanic is a possibility.

(ii) Some microphones are not cellular.

A
If only conclusion I follows;

B
If only conclusion II follows;

C
If either I or II follows;

D
If neither I nor II follows; and

E
If both I and II follow

Solution

The correct option is D.
From the venn diagram it is clear that
all microphones are possible to be mechanic and Some microphones are cellular.
Question 11
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In each of the questions below are given four statements followed by for conclusions numbered I, II, III and IV. You have to the take 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 from the given statements disregarding commonly known facts.
Q.
Statements :

All mobiles are cellular.

All cellular are mechanics.

All microphones are mobiles.

Conclusions :

(i) Some mechanics which one mobiles are also a part of microphones.

(ii) All microphones are cellular.

A
If only conclusion I follows;

B
If only conclusion II follows;

C
If either I or II follows;

D
If neither I nor II follows; and

E
If both I and II follow

Solution

The correct option is E.
It is clear from the venn diagram.
Question 12
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In each of the questions below are given four statements followed by for conclusions numbered I, II, III and IV. You have to the take 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 from the given statements disregarding commonly known facts.
Q.
Statements :

All pencils are pens.

Some pens are stickers.

All stickers are numbers.

Some number are erasers.

Conclusions :

(i) Some numbers are pens.

(ii) Some numbers are stickers.

A
If only conclusion I follows;

B
If only conclusion II follows;

C
If either I or II follows;

D
If neither I nor II follows; and

E
If both I and II follow

Solution
Question 13
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In each of the questions below are given four statements followed by for conclusions numbered I, II, III and IV. You have to the take 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 from the given statements disregarding commonly known facts.
Q.
Statements :

All dusters are bowls.

All bowls are shoes.

No shoe is a root.

All roots are flowers.

Conclusions :

(i) No flower is a bowl.

(ii) All dusters are shoes.

A
If only conclusion I follows;

B
If only conclusion II follows;

C
If either I or II follows;

D
If neither I nor II follows; and

E
If both I and II follow

Solution

It is clear from the venn diagram that both the conclusions follow.
Question 14
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In each of the questions below are given four statements followed by for conclusions numbered I, II, III and IV. You have to the take 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 from the given statements disregarding commonly known facts.
Q.
Statements :

All dusters are bowls.

All bowls are shoes.

No shoe is a root.

All roots are flowers.

Conclusions :

(i) No duster is a root.

(ii) All flowers are root.

A
If only conclusion I follows;

B
If only conclusion II follows;

C
If either I or II follows;

D
If neither I nor II follows; and

E
If both I and II follow

Solution

The correct option is A.
As if all roots are flowers that do not means that all flowers are roots, thus only conclusion 1 follows.
Question 15
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In each of the questions below are given four statements followed by for conclusions numbered I, II, III and IV. You have to the take 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 from the given statements disregarding commonly known facts.
Q.
Statements :

Some mails are chats.

All uploads are chats.

Conclusions :

(i) All mails being uploads is a possibility.

(ii) No upload is a mail.

A
If only conclusion I follows;

B
If only conclusion II follows;

C
If either I or II follows;

D
If neither I nor II follows; and

E
If both I and II follow
Solution
From the given statements, we can infer that:

Some chats are mails (from the first statement)

All uploads are chats (from the second statement)

Using these two statements, we can conclude that:

Some uploads are mails (since all uploads are chats, and some chats are mails)

Therefore, conclusion I that all mails being uploads is a possibility, logically follows from the given statements.

However, conclusion II that no upload is a mail does not logically follow from the given statements, as we have just shown that some uploads are mails.

Therefore, the correct answer is option 1: If only conclusion I follows.