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Reasoning Quiz On Syllogism Day 5 Bag

Reasoning Quiz On Syllogism Day 5 Bag


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Que. 1

Directions:The question below contains seven statements followed by five sets of combinations of three. Choose the set in which the statements are logically related.

(1) All books are having pages.

(2) All kings are having pages.

(3) All kings are books.

(4) Some heavy things are having pages.

(5) Some heavy things are books.

(6) Some books are heavy.

(7) Some heavy things are having pages.

1.
1, 2, 3
2.
6, 1, 4
3.
4, 6, 1
4.
1, 5, 7
5.
Both (2) and (4)

Solution

Answer: 5

From statements given in the options, we can draw the least possible Venn diagram below:

(A) 1, 2, 3

(1) All books are having pages.

(2) All kings are having pages.

(3) All kings are books. → Its possible but not definite.

(B) 6, 1, 4

(6) Some books are heavy.

(1) All books are having pages.

(4) Some heavy things are having pages. → Definitely true.

(C) 4, 6, 1

(4) Some heavy things are having pages.

(6) Some books are heavy.

(1) All books are having pages. → Its possible but not definite.

(D) 1, 5, 7

(1) All books are having pages.

(5) Some heavy things are books.

(7) Some heavy things are having pages. → Definitely true.

Hence, both (6, 1, 4) and (1, 5, 7) combinations are logically related.

Que. 2

Directions: In the question below are given three statements followed by three conclusions I, II and III. You to take the three 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:

All tables are sitars.

All sitars are harmoniums.

All harmoniums are violins.

Conclusions:

I. All violins being tables is a possibility

II. Some violins are definitely sitars

III. All harmoniums are sitars

1.
All follow
2.
Only II follow
3.
Only I follow
4.
I and II follow
5.
None follows

Solution

Answer: 4

Least possible Venn diagram is as shown below:

Conclusions:

I. All violins being tables is a possibility → Possibility is true as shown below.

II. Some violins are definitely sitars → Clearly true.

III. All harmoniums are sitars → It’s possible but not definite, hence false.

Hence only conclusion I and II follows from given statements.

Que. 3

Directions: The question contains six statements followed by five sets of combinations of three. Choose the set in which the statements are logically related.

(1) Looting is a crime.

(2) Some crooked people are criminals.

(3) All those involved in looting are criminals.

(4) Some crooked people are involved in looting.

(5) All criminals are looked down in society.

(6) Some crooked people are not criminals.

1.
1, 4, 6
2.
3, 6, 2
3.
1, 2, 6
4.
3, 4, 2
5.
None of these

Solution

Answer: 4

From statements given in the options, we can draw the least possible Venn diagram below:

(A) 1, 4, 6

The logical order of statements is:-

(1) Looting is a crime.

(4) Some crooked people are involved in looting.

(6) Some crooked people are not criminals. → Its possible but not definite.

(B) 3, 6, 2

(3) All those involved in looting are criminals.

(6) Some crooked people are not criminals.

(2) Some crooked people are criminals. → Its possible but not definite.

(C) 1, 2, 6

(1) Looting is a crime.

(2) Some crooked people are criminals.

(6) Some crooked people are not criminals. → Its possible but not definite.

(D) 3, 4, 2

(3) All those involved in looting are criminals.

(4) Some crooked people are involved in looting.

 

(2) Some crooked people are criminals. → Definitely true.

Hence, 3, 4, 2 statements are logically related.

Que. 4

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

Statements:

Some gases are liquids.

All liquids are water

Conclusions:

I. All gases being water is a possibility

II. All such gases which are not water can never be liquids

1.
Only conclusion I follows
2.
Only conclusions II follows
3.
Either conclusion I or conclusions II follows
4.
Neither conclusions I nor conclusions II follows
5.

Both conclusions I and conclusions II follow

Solution

Answer: 5

Least possibility Venn diagram is,

Conclusions:

I. All gases being water is a possibility (True)

II. All such gases which are not water can never be liquids (clearly follows because if some gases are liquid then they will be water also)

Hence both the conclusions are true.

Que. 5

Directions: In the question below are 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 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 parrots are peacocks.

No peacock is a bird.

All birds are animals.

Some animals are crow.Conclusions: 

I Some birds are crows.

II All parrots being animals is a possibility.

III All crows are peacock is a possibility.

1.
Only II and III follow
2.
Only II follows
3.
All follows
4.
Only I and III follow
5.
Only I follows

Solution

Answer: 1

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

Conclusions:

I. Some birds are crow → it’s possible, but not definitely true, hence false

II. All parrots being animals is a possibility → it’s possible, hence true.

III. All Crows are peacock is a possibility → it’s possible, hence true.

Thus, only conclusion II and III follows.

Que. 6

Directions: The question contains six statements followed by five sets of combinations of three. Choose the set in which the statements are logically related.

(1) Some women are those who are successful in life.

(2) Some men are those who have patience.

(3) No man is a woman.

(4) All those who have patience are successful in life.

(5) Some who are successful in life are men.

(6) Some men are not those are successful in life.

1.
1, 3, 6
2.
4, 2, 6
3.
1, 5, 3
4.
2, 4, 5
5.
Both A and D

Solution

Answer: 4

From statements given in the options, we can draw the least possible Venn diagram below:

(A) 1, 3, 6

(1) Some women are those who are successful in life.

(3) No man is a woman.

From statements 1 & 3, we can draw the least possible Venn diagram below:

(6) Some men are not those are successful in life. → Its possible but not definite.

(B) 4, 2, 6

(4) All those who have patience are successful in life.

(2) Some men are those who have patience.

(6) Some men are not those are successful in life. → Its possible but not definite.

(C) 1, 5, 3

(1) Some women are those who are successful in life.

(5) Some who are successful in life are men.

(3) No man is a woman. → Its possible but not definite.

(D) 2, 4, 5

(2) Some men are those who have patience.

(4) All those who have patience are successful in life.

(5) Some who are successful in life are men. → Definitely true.

Hence, 2, 4, 5 statements are logically related.

Que. 7

Direction: In each of these questions two Conclusions have been given followed by 5 sets of possible Statements. You have to take the given Conclusions to be true even if they seem to be at variance with the commonly known facts and then decide for the given Conclusions logically follows from the which of the given statements disregarding commonly known facts.

Conclusion: All pens being marker is a possibility. At least Some markers are Papers.

1.
Statements: No paper is markers. All color are papers. Some papers are pens.
2.
Statements: No pen is color. All color are papers. No paper is markers.
3.
Statements: No pen is paper. All color are papers. No paper is markers.
4.
Statements: No pen is color. All color are papers. Some papers are markers.
5.
Statements: No pen is color. No color is paper. Some colors are markers.

Solution

Answer: 4

Conclusion:

I) All pens being marker is a possibility.

II) At least Some markers are Papers.

Drawing a minimum possible venn diagram:

1) Statements: No paper is markers. All color are papers. Some papers are pens.

→ as we can see statement given “no paper is marker”

Thus, At least Some markers are Papers. Will not follow.

Hence above statement will not result in given conclusion.

2) Statements: No pen is color. All color are papers. No paper is markers.

→ as we can see statement given “no paper is marker”

Thus, At least Some markers are Papers. Will not follow.

Hence above statement will not result in given conclusion.

3) Statements: No pen is paper. All color are papers. No paper is markers.

→ as we can see statement given “no paper is marker”

Thus, At least Some markers are Papers. Will not follow.

Hence above statement will not result in given conclusion.

4) Statements: No pen is color. All color are papers. Some papers are markers.

→ Drawing a venn diagram:

Possiblity diagram:

As we can see in above venn diagram both conclusion follows.

Hence, above statement will result in given conclusion.

5) Statements: No pen is color. No color is paper. Some colors are markers.

→ drawing a venn diagram:

In above venn diagram conclusion II does not follow.

Hence, above statement will not result in given conclusion.

Hence, option 4) statement will result in given conclusion.

Que. 8

Direction: In following question two conclusions have been given followed by 5 sets of possible Statements. You have to take the given Conclusions to be true even if they seem to be at variance with the commonly known facts and then decide for the given Conclusions logically follows from the which of the given statements disregarding commonly known facts.

Conclusion: All work being motivation is a possibility. All motivation being good is a possibility.

1.
Statements: Some motivation are lessions. Some lessions are good. No motivation is a good.
2.
Statements: Some motivation are lessions. All lessions are work. No lessions is good.
3.
Statements: No motivation is lession. All lessions are good. No good is a work.
4.
Statements: Some motivation are lessions. All lession are work. No good is work.
5.
Statements: Some motivation are lessions. All lessions are work. No good is motivation.

 

Solution

Answer: 3

Conclusion:

I) All work being motivation is a possibility.

II) All motivation being good is a possibility.

Draw a minimum possible Venn diagram of above conclusion:

1) Statements: Some motivation are lessions. Some lessions are good. No motivation is good.

→ drawing a Venn diagram:

As we can see in above Venn diagram here conclusion II is not possible.

Hence, above statement will not result in given conclusion.

2) Statements: Some motivations are lessions. All lessions are work. No lessions is good.

→ drawing a Venn diagram:

As we can see in above Venn diagram, Lessions which are Motivation will not be good.

Hence, above statement will not result in given conclusion.

3) Statements: No motivation is lession. All lessions are good. No good is work.

→ Drawing Venn diagram:

Conclusion:

I) All work being motivation is a possibility. (It is possible hence, true)

II) All motivation being good is a possibility. (It is possible hence, true)

Hence above conclusion will result in given conclusion.

4) Statements: Some motivation are lessions. All lession are work. No good is a work.

→ Drawing a Venn diagram:

As we can see above conclusion will not be possible. As Motivation which are lession can’t be good.

Hence, above statement will not result in given conclusion.

5) Statements: Some motivation are lessions. All lessions are work. No good is a motivation.

→ Drawing a Venn diagram:

As we can see above conclusion will not be possible.

Hence, above statement will not result in given conclusion.

Hence, statement of option 3) will result in given conclusion.

Que. 9

Direction: In each of these questions two Conclusions have been given followed by 5 sets of possible Statements. You have to take the given Conclusions to be true even if they seem to be at variance with the commonly known facts and then decide for the given Conclusions logically follows from the which of the given statements disregarding commonly known facts.

Conclusion: No reals are Fake and some Fake are Man.

1.
Statements: All man are good. Some good are real. Some real are fake. All Fake are bad.
2.
Statements: Some real are bad. Some bad are good. All goods are Fake. Some goods are Man.
3.
Statements: All real are bad. Some bad are good. Some goods are Fake. All goods are Man.
4.
Statements: All Man are Fake. Some Fake are good. All Fake are bad. Some bad are real
5.
Statements: All Man are Fake. Some Fake are good. All Fake are bad. No bad is real.

 

Solution

Answer: 5

Conclusion: No reals are Fake and some Fake are Man

Below diagram represent minimum possible venn diagram of above conclusion

Descriptive way to solve these type of question is to solve option and get the solution:

From Option (a):

Statements: All man are good. Some good are real. Some real are fake. All Fake are bad.

Below diagram represent minimum possible venn diagram of above statement:

Above diagram represent some real are fake.

Hence, above statement will not result given conclusion.

From Option (b):

Statements: Some real are bad. Some bad are good. All goods are Fake. Some goods are Man.

By above statement it is possible to form conclusion but it is not definite.

Hence, above statement will not result in given solution.

From Option (c):

Statements: All real are bad. Some bad are good. Some goods are Fake. All goods are Man.

By above statement it is possible to form conclusion but it is not definite.

Hence, above statement will not result in given solution.

From Option (d):

Statements: All Man are Fake. Some Fake are good. All Fake are bad. Some bad are real

By above statement it is possible to form conclusion but it is not definite.

Hence, above statement will not result in given solution.

From Option (e):

Statements: All Man are Fake. Some Fake are good. All Fake are bad. No bad is real.

As we can see in above diagram, it clearly shows that “No reals are Fake and some Fake are Man”.

Hence, above statement will result in conclusion given in question.

Alternative Method:

Draw a venn diagram of Conclusion given:

As we can see that conclusion consisting negative statement hence, statements must consider negative statement,

Now we will look on option:

A) As there is no negative statement hence, these conclusion can’t result in conclusion.

B) As there is no negative statement hence, these conclusion can’t result in conclusion.

C) As there is no negative statement hence, these conclusion can’t result in conclusion.

D) As there is no negative statement hence, these conclusion can’t result in conclusion.

E) Now we left only option hence it will result in given conclusion. (Here statement of option (e) contain negative statement)

Hence, by taking this intuitive approach we can answer this question.

Que. 10

Directions: In question below are given two statements followed by four conclusions numbered I, II, III and IV. You have to take the two 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/follow from the two given statements disregarding commonly known facts.

Statements:

No manager is a teacher

All teachers are researchers

Conclusions:

I. No researcher is a teacher

II. No researcher is a manager

III. Some teachers are researchers

IV. Some researchers are teachers

1.
None follows
2.
All follow
3.
Only II follows
4.
Only III and IV follow
5.
None of these

 

Solution

Answer: 4

Lets draw the least possible Venn diagram:

Conclusions:

I. No researcher is a teacher → False.

II. No researcher is a manager → It is possible but not definite, hence false.

III. Some teachers are researches → Definitely true.

IV. Some researchers are teachers → Definitely true.

Hence, only conclusions III and IV follow.

 

Reverse Syllogism

Direction (Q 1 – 5): In the following questions, three conclusions and five statements are given. From this, you have to take the statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given statement logically follows.

Ques 1

Conclusion:
i. At least some guavas are grapes.
ii. All guava being grape is a possibility.
iii. Some papayas are lemon.
Statements:
I. All guavas are papayas. Some grapes are lemon. No lemon is guava.
II. Some grapes are guava. Some lemons are grapes. No papaya is a guava.
III. Some papayas are grape. No grape is a guava. All papaya is a lemon.
IV. All lemons are guava. No papaya is a guava. All grapes are papayas.
V. All papayas are lemon. Some grapes are lemon. Some grape is guava.

Options:
A. Only statement V follows
B. Only statement III follows
C. Only statement I follows
D. Only statement IV follows
E. Only statements II  follows

1. Answer: Only statement I

Ques 2

Conclusion:
i. Some beetroots are not cabbages.
ii. No cabbage is a carrot.
iii. Some chillies are not carrots.
Statements:
I. Some carrots are cabbage. All chillies are beetroots. No cabbage is chilli.
II. No carrot is a chilli. Some beetroots are carrots. All cabbages are chillies.
III. Some beetroots are carrot. No carrot is a chilli. All beetroot is a cabbage.
IV. All cabbages are chilli. No beetroot is a chilli. Some carrots are beetroots.
V. Some carrots are cabbage. All beetroots are cabbage. No cabbage is chilli.
Options:
A. Only statement V follows
B. Only statement III follows
C. Only statement I follows
D. Only statement IV follows
E. Only statements II  follows

2. Answer: Only statement II

Ques 3.

Conclusion:
i. Some clouds are seas.
ii. Some trees are not rain.
iii. No cloud is a rain.
Statements:
I. All clouds are trees. Some seas are rain. No rain is cloud.
II. Some trees are rain. No sea is a tree. All rain are clouds.
III. No sea is a cloud. Some trees are sea. All trees are rains.
IV. Some clouds are trees. No rain is a cloud. All trees are seas.
V. No rain is cloud. Some seas are rain. All trees are rain.
Options:
A. Only statement V follows
B. Only statement III follows
C. Only statement I follows
D. Only statement IV follows
E. Only statements II  follows

3. Answer: Only statement IV

Ques 4.

Conclusion:
i. No horses are lions.
ii. Some cats are not tigers.
iii. No lion is a tiger
Statements:
I. All horses are tigers. No tiger is a lion. Some lions are cats.
II. Some tigers are lions; No lion is a horse; all horses are cats.
III. All horses are cats; No tiger is a lion; some cats are tigers.
IV. All lions are tigers; all tigers are horses; all horses are cats.
V. No tiger is cat; all lions are tigers; all horses are cats.
Options:
A. Only statement V follows
B. Only statement III follows
C. Only statement I follows
D. Only statement IV follows
E. Only statements II  follows

4. Answer: Only statement III

Ques 5.

Conclusion:

  1. Some door being windows is a possibility.
    ii. Some carpets are not keys.
    iii. All windows being carpets is a possibility.Statements:
    I. All windows are carpets; No carpet is door; all door is keys.
    II. No key is a carpet; all door is keys; all windows are carpets.
    III. All carpets are keys; all keys are door; No window is door.
    IV. No door is a key; all windows are keys; some carpets are door.
    V. Some windows are keys. No key is door. All door is carpets.
    Options: 
    A. Only statement V follows
    B. Only statement III follows
  2. c.Only statement I follows
    D. Only statement IVfollows
    E. Only statements II  follows

5. Answer: Only statement IV

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