Reasoning Ability - SPLessons

Syllogism Practice Quiz 7

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Syllogism Practice Quiz 7

shape Introduction

What is a Syllogism? A syllogism is a deductive argument relating two premises and a conclusion, all of which are quantified propositions, i.e. propositions joining concepts by using words such as ‘some’ and ‘all’. In simple terms, Syllogism is a deductive argument that is primarily composed of 3 propositions. One of the propositions is used as the conclusion of the syllogism and the other two propositions are used as the premises of the syllogism. Deductive Logic is used to derive conclusions from premises where the truth of the conclusion must always be contained in the truth of the premises. Syllogism Practice Quiz 7 presents Syllogism questions with solutions useful for candidates preparing for different competitive examinations like RRB ALP/Technical Exams/Junior Engineer Recruitment Exams, SSC CGL,SSC CHSL, IBPS, SBI PO, SBI Clerks, CAT and etc.
Syllogism is derived from the Greek word syllogismos, meaning conclusion or inference. Some syllogisms contain three components:
  • Major Premise
  • Minor Premise
  • Conclusion

Example: All roses are flowers (major premise). This is a rose (minor premise). Therefore, I am holding a flower (conclusion).

shape Quiz

Direction[1-5]: In each of the questions below are given some statements followed by some conclusions. 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.
1. Statements: Some girls are boys. Some sisters are brothers All mothers are girls. All brothers are mothers. Conclusions: I. Some boys are brothers II. Some girls are sisters III. Some mothers are sisters IV. Some boys are sisters.
    A. Only I, II and III follow B. Only I and IV follow C. Only II and III follow D. Only II and IV follow E. All follow

2. Statements: A. All artists are painters. B. All actors are gentle. C. All gentle are painters. Conclusions: I. No artist is actor. II. All painters are actors. III. Some gentle are not actors IV. Some artist are not gentle.
    A. None follows B. Either I or III or IV follows C. Only II and IV follow D. Either I or III and II and IV follow E. Only II follows

3. Statements: A. All kings are beggars. B. All beggars are labourers. C. All labourers are peoples. Conclusions: I. Some people are kings. II. No labourer is king. III. All kings are labourers. IV. All labourers are kings.
    A. Only I & II follow B. Only I & IV follow C. Only I, II and IV follow D. All follow E. None of these

4. Statements: Some groups are sets All sets are solids All solids are liquids No liquid is a chain Conclusions: I. All chains being groups is a possibility II. No chain is a solid III. All groups being chains is a possibility IV. All sets are liquid
    A. Only I does not follow B. Only II and III does not follow C. Only III does not follow D. Only IV does not follow E. Only I and III does not follow

5. Statements: No mobile is pencil All pens are mobiles All cars are pencils All pencils are bikes Conclusions: I. No pen is a car II. All pens being bikes is a possibility III. All cars are bikes IV. All bikes are mobiles
    A. Only I does not follow B. Only II and III does not follow C. Only III does not follow D. Only IV does not follow E. Only I and III does not follow

Answers and Explanations
1. Answer - Option C
Explanation -

Only II & III follow
2. Answer - Option A
Explanation -

None of the four conclusions is necessarily true. Hence None follows will be the answer.
3. Answer - Option E
Explanation -

Only I & III follows.
4. Answer - Option C
Explanation -

Here conclusion III definitely does not logically follow. If it follows, than given statement - No liquid is a chain and Some groups are sets will become false. Hence, conclusion III definitely does not logically follow is the correct option.
5. Answer - Option D
Explanation -

All bikes can never be mobiles. Hence conclusion IV (All bikes are mobiles) does not follow logically.
Direction[1-5]: In each of the questions below, two or three statements are given followed by conclusions or group of conclusions followed numbered I and II. You have to assume all the statements to be true even if they seem to be variance from the commonly known facts and then decide which of the given two conclusions logically follows from the information given in the statements.
1. Statements: All Days are Months. Only a few Calendars are Dates. All Month are Dates. Conclusions: I. Only a few Months are Calendars. II. All Days are Dates.
    A. Only I follows. B. Only II follows. C. Either I or II follows. D. Neither I nor II follows. E. Both I and II follows.

2. Statements: Only few Lunches are Breakfasts. No Breakfast is Supper. All Dinner are Supper. Conclusions: I. No Breakfasts are Dinner. II. Only few Lunches are Supper.
    A. Only I follows. B. Only II follows. C. Either I or II follows. D. Neither I nor II follows. E. Both I and II follows.

3. Statements: Only a few Boys are Studious. All Girls are Studious. Only a few Studious are Strong. Conclusions: I. Only a few Boys are Girls. II. Only a few Boys are Strong.
    A. Only I follows. B. Only II follows. C. Either I or II follows. D. Neither I nor II follows. E. Both I and II follows.

4. Statements: All Chairs are Beds. Only a few Tables are Chairs. All Blankets are Beds. Conclusions: I. Some Blankets are being Chairs is a possibility. II. Some Tables are Beds.
    A. Only I follows. B. Only II follows. C. Either I or II follows. D. Neither I nor II follows. E. Both I and II follows.

5. Statements: Only a few Toasters are OTG. All Coolers are Refrigerators. All OTG are Refrigerators. Conclusions: I. Some OTG are Coolers. II. Some Toasters are Refrigerators
    A. Only I follows. B. Only II follows. C. Either I or II follows. D. Neither I nor II follows. E. Both I and II follows.

Answers and Explanations
1. Answer - Option B
Explanation -
Drawing Venn diagram based on the given Statements:

Conclusions:
I. Only a few Months are Calendars → Not True
Thus, Months and Calendars aren’t connected. Thus, conclusion I doesn’t follow.
II. All Days are Dates → True
The circle representing Days are fully inside the circle of Dates. Thus, it can be said that all Days are Dates. Thus, conclusion II follows.
Therefore, conclusion II follows. [Option B.]
2. Answer - Option A
Explanation -
Drawing Venn diagram based on the given Statements:

Conclusions:
I. No Breakfasts are Dinner → True
The circle representing Dinner is fully inside Supper. And there’s no relationship between Breakfast and Supper. Thus, no relationship between Breakfast and Dinner can be established as well.
So, conclusion I follows.
II. Only few Lunches are Supper → Not True
There’s no connection between Lunch and Supper. Thus, conclusion II doesn’t follow.
Therefore, only conclusion I follows. [Option A.]
3. Answer - Option D
Explanation -
Drawing Venn diagram based on the given Statements:

Conclusions:
I. Only a few Boys are Girls→ Not True
Boys and Girls aren’t connected and thus conclusion I doesn’t follow.
II. Only a few Boys are Strong→ Not True
Boys and Strong aren’t connected and thus conclusion II doesn’t follow.
Therefore, neither I nor II follows. [Option D.].
4. Answer - Option E
Explanation -
Drawing Venn diagram based on the given Statements:

Conclusions:
I. Some Blankets are being Chairs is a possibility→ True
Thus, table and bed are connected. So, conclusion I is true.
Though Blanket and Chairs aren’t connected, a relationship between them can be established as follows:

II. Some Tables are Beds→ True
Therefore, conclusion II follows. Thus, both conclusion I and II follow. [Option E.]
5. Answer - Option B
Explanation -
Drawing Venn diagram based on the given Statements:
Conclusions:
I. Some OTG are Coolers→ Not True

Thus, OTG and Coolers aren’t directly connected. Therefore, conclusion I doesn’t follow.
II. Some Toasters are Refrigerators→ True
Now, Toasters and Refrigerators are connected and thus conclusion II follows.
Therefore, only conclusion II follows. [Option B.]
Direction[1-5]: In each of the questions below are given few statements followed by two conclusions. 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 follow from the given statements disregarding commonly known facts. Give answer
1. Statements: Only a few cats are bats. All bats are balls. Only a few balls are dogs. Conclusions: 1) Only cats are balls. 2) A few bats are dogs.
    A. If conclusion 1 follows B. If conclusion 2 follows C. Either conclusion 1 or conclusion 2 follows D. Neither conclusion 1 nor conclusion 2 follows E. Both the conclusions follow

2. Statements: Only a few males are doctors. Only a few males are kind. Conclusions: 1) Some kinds are doctors is a possibility. 2) Only kinds are males.
    A. If conclusion 1 follows B. If conclusion 2 follows C. Either conclusion 1 or conclusion 2 follows D. Neither conclusion 1 nor conclusion 2 follows E. Both the conclusions follow

3. Statements: All violets are neon. All neon is yellow. Only a few yellow is dark. Conclusions: 1) Only yellow is violet. 2) Few dark being neon is a possibility.
    A. If conclusion 1 follows B. If conclusion 2 follows C. Either conclusion 1 or conclusion 2 follows D. Neither conclusion 1 nor conclusion 2 follows E. Both the conclusions follow

4. Statements: All toys are dolls. No fan is light. All lights are toys. Only a few lights are bright Conclusions: 1) Only dolls are light. 2) Only light is doll.
    A. If conclusion 1 follows B. If conclusion 2 follows C. Either conclusion 1 or conclusion 2 follows D. Neither conclusion 1 nor conclusion 2 follows E. Both the conclusions follow

5. Statements: Only bananas are apples. Only a few mangoes are apples. All guavas are mangoes. Conclusions: 1) Some guava being banana is a possibility. 2) All mango being banana is a possibility.
    A. If conclusion 1 follows B. If conclusion 2 follows C. Either conclusion 1 or conclusion 2 follows D. Neither conclusion 1 nor conclusion 2 follows E. Both the conclusions follow

Answers and Explanations
1. Answer - Option D
Explanation -
The least possible Venn diagram for the given statements is as follows:

Conclusions:
1. Only cats are balls → It means all balls are cats, hence false.
2. A few bats are dogs → It means, some bats are dogs, which is not sure, hence false.
So, neither 1 nor 2 follows.
2. Answer - Option A
Explanation -
The least possible Venn diagram for the given statements is as follows:

Conclusions:
1. Some kind are doctors is a possibility → It’s possible, hence true.
2. Only kind are males → It means all males are kind which is not sure, hence false.
So, only 1 follows.
3. Answer - Option E
Explanation -
The least possible Venn diagram for the given statements is as follows:

Conclusions:
1. Only yellow is violet → It means all violet is yellow, hence true.
2. Few dark being neon is a possibility → It means some dark being neon is a possibility, which is possible, hence true.
So, only 1 and 2 follow.
4. Answer - Option A
Explanation -
The least possible Venn diagram for the given statements is as follows:

Conclusions:
1. Only dolls are light → It means all light are dolls, which is true.
2. Only light is doll → It means all dolls are light, which is false.
So, only 1 follows.
5. Answer - Option E
Explanation -
The least possible Venn diagram for the given statements is as follows:

Conclusions:
1. Some guava being banana is a possibility → It’s possible, hence true.
2. All mango being banana is a possibility → It’s possible, hence true.
So, both 1 and 2 follow.

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