# LR - Syllogisms - Previous Year CAT/MBA Questions

You can practice all previous year OMET questions from the topic LR - Syllogisms. This will help you understand the type of questions asked in OMET. It would be best if you clear your concepts before you practice previous year OMET questions.

**IIFT 2017 LR | LR - Syllogisms**

In the following question, two statements are given followed by four conclusions. Taking the given statements to be true, decide which of the given conclusions logically follows from the given statements:

**Statements:**

Some rivers are plateau.

No plateau is mountain.

**Conclusions:**

- Some plateau are rivers.
- Some mountains are rivers.
- Some rivers are not mountains.
- All mountains are rivers.

- A.
Only I follows

- B.
Both II and III follow

- C.
Both I and III follow

- D.
Both I and II follow

Answer: Option C

**Explanation** :

Since Some rivers are plateau, it definitely follows that Some plateau are rivers. Hence, conclusion I follows. This eliminates option 2.

Now, No plateau is mountain. However, that does not mean that the sets of rivers and mountain have to intersect with each other. Hence, conclusions II and IV may or may not follow. This eliminates option 4.

Now, any river that is a plateau cannot be a mountain (as No plateau is mountain). Hence, there are definitely some rivers that are not mountains i.e. conclusion III follows.

Hence, option (c).

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**IIFT 2016 LRDI | LR - Syllogisms**

Choose the conclusion which logically follow from the given statement irrespective of commonly known facts.

**Statement:**

All branches are flowers.

All flowers are leaves**Conclusion :**

I. All branches are leaves

II. All leaves are branches

III. All flowers are branches

IV. Some leaves are branches

- A.
None follows

- B.
Only I and IV follow

- C.
Only II and III follow

- D.
All follow

Answer: Option B

**Explanation** :

Since all branches are flowers, and all flowers are leaves, it implies that all branches are leaves and some leaves are branches.

Hence, conclusions I and IV follow.

Hence, option (b).

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**IIFT 2015 LRDI | LR - Syllogisms**

**From the given statements, choose the conclusions which follow logically:**

**Statements:**

i. Some iphones are mobiles

ii. Some mobiles are ipads

iii. Some ipads are tablets

**Conclusions:**

I. Some tablets are iphones

II. Some mobiles are tablets

III. Some ipads are iphones

IV. All iphones are tablets

- A.
Only I & II follow

- B.
Only I, II & III follow

- C.
Only II & III follow

- D.
None of these

Answer: Option D

**Explanation** :

The statements i, ii and iii can be represented as shown above

From the figure, Set of iphones do not intersect with the set of ipads and the set of tablets, and the set of mobiles do not intersect with the set of tablets.

Consider the conclusions,

From the figure, first three conclusions are not true. In this set, the fourth conclusion cannot be concluded.

Hence, option (d).

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**IIFT 2014 LRDI | LR - Syllogisms**

**In the question below, a statement is followed by three assumptions numbered I, II and III. An assumption is something supposed or taken for granted. You have to consider the statement and the following assumptions and decide which assumptions are implicit in the statement.**

It is believed by many economists that to realize a 7 percent GDP growth rate in India, which is very much attainable, the gross fixed capital formation in the country must increase to 30 percent of GDP from the present level of 28 percent.

I. The target of 7 percent GDP growth is not feasible.

II. GDP growth rate is directly related to capital formation rate.

III. The GDP growth rate in a country is the only indicator of country’s economic development.

- A.
Both I and II

- B.
Both II and III

- C.
Both III and I

- D.
None of A, B or C

Answer: Option D

**Explanation** :

Assumption I is not implicit, since it states that 7% GDP growth is not feasible while the passage mentions that it is “very much attainable”.

Assumption II is implicit, since the passage does say that in order to attain a target GDP growth rate, there must be an increase in capital formation rate. Therefore, the two are directly related.

Assumption III is not implicit, since we cannot assume that there are no other indicators of a country's economic development besides the GDP growth rate. The passage provides no basis for such an assumption.

Since there is no option for 'Only II', we select option 4.

Hence, the correct answer is option 4.

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**IIFT 2014 LRDI | LR - Syllogisms**

**The statement below is followed by three outcomes numbered I, II and II. An outcome is either a step of administrative decision to be undertaken for improvement, or a follow-up for further action, or natural response by stakeholders, etc. on the basis of the information provided in the statement. Everything mentioned in the statement is to be assumed to be true, on the basis of which the most logically followed course of action has to be decided.**

**Statement:**

The city council of Brownwood City has decided to install a plant of mineral water to provide the citizens mineral water bottles at US $ 1 per bottle as against bottles costing US $ 1.5 being sold by local private players.

I. All the local private companies selling bottled water in Brownwood City will have to close their operations.

II. The city council of Brownwood City will have to provide for the losses from this project in its budget.

III. The normal tap water supply of Brownwood City will have no takers and that will have to be discontinued.

- A.
None of I, II or III

- B.
Only II

- C.
Both II and III

- D.
All I, II and III

Answer: Option A

**Explanation** :

Outcome I does not follow; just because mineral water will be sold at a cheaper rate by the city council, this does not mean that all private companies selling bottled mineral water will close down altogether.

Outcome II does not follow; since their increased sales will probably more than make up for any losses incurred due to lower prices.

Outcome III does not follow; it is ludicrous to assume that people will be willing to do away with normal tap water just because mineral water is being sold at a somewhat reasonable rate.

Hence, the correct answer is option 1.

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**XAT 2012 VARC | LR - Syllogisms**

All who studied commerce enjoy sports. No tax consultant enjoys sports. All those who enjoy sports love classical music.

If the above sentences are true, which of the following also must be true?

- A.
No one who enjoys classical music is a tax consultant by profession.

- B.
Every tax consultant enjoys classical music.

- C.
No tax consultant enjoys classical music.

- D.
No tax consultant studied commerce.

- E.
No one who studied commerce enjoy classical music.

Answer: Option D

**Explanation** :

All those who studied commerce are incorporated in the sports category and no tax consultant enjoys sports. Thus, no tax consultant studied commerce.

Hence, the correct answer is option 4.

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**IIFT 2012 LRDI | LR - Syllogisms**

**Statement 1: **All chickens are birds.

**Statement 2:** Some chickens are hens.

**Statement 3:** Female birds lay eggs.

If the above statement are facts, then which of the following must also be a fact?

I. All birds lay eggs.

II. Hens are birds.

III. Some chickens are not hens.

- A.
II only

- B.
II and III only

- C.
I, II and III

- D.
None of the statement is a known fact

Answer: Option D

**Explanation** :

Statements I and II can be represented as venn diagrams in the following ways:

As ‘Female birds lay eggs’, so ‘All birds lay eggs’ is incorrect.

Conclusion ‘Hens are Birds’ may or may not be true as can be seen from the Venn diagrams.

Conclusion ‘Some chickens are not hens’ is also not definitely true as can be seen from the third Venn diagram.

Hence, option (d).

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**IIFT 2012 LRDI | LR - Syllogisms**

**Statement 1:** Pictures can tell a story.

**Statement 2:** All storybooks have pictures.

**Statement 3:** Some storybooks have words.

If the above statement are facts, then which of the following must also be a fact?

I. Pictures can tell a story better than words can.

II. The stories in storybook are very simple

III. Some storybooks have both words and pictures.

- A.
I only

- B.
II only

- C.
III only

- D.
None of the statement is a known fact

Answer: Option C

**Explanation** :

Since all storybooks have pictures and some storybooks have words, so some storybooks definitely have both words and pictures.

The other two conclusions cannot be derived from the statements.

Hence, option (c).

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**IIFT 2011 LR | LR - Syllogisms**

**Each of the questions below starts with a few statements, followed by four conclusions numbered 1, 2, 3 and 4. You have to consider every given statement as true, even if it does not conform to the accepted facts. Read the conclusions carefully and then decide which of the conclusion(s) logically follow(s) from the given statements, disregarding commonly known facts.**

Statements:

a. Some boys are scholars

b. Some teachers are boys

c. All scholars are observers

Conclusions:

1. Some scholars are boys

2. Some scholars are not boys

3. Some observers are boys

4. Some teachers are scholars

- A.
1, and 3 follow

- B.
1, 3, and 4 follow

- C.
Either 1 or 2 and 3 follow

- D.
None of the above

Answer: Option A

**Explanation** :

Some boys are scholars:

There are two possible deductions from this statement.

i) All scholars are boys (i.e. the set of scholars is a subset of boys)

ii) Some scholars are boys (i.e. the intersection of the sets of scholars and boys is not a null set)

Some teachers are boys

There are two possible deductions from this statement.

i) All boys are teachers (i.e. the set of boys is a subset of teachers)

ii) Some boys are teachers (i.e. the intersection of the sets of teachers and boys is not a null set)

All scholars are observers.

There are two possible deductions from this statement.

i) All observers are scholars (i.e. the set of observers and scholars are identical)

ii) Some observers are scholars (i.e. the set of observers is a subset of scholars)

Let us analyze the conclusions:

1) Some scholars are boys.This is true for both the cases that have been mentioned above,

2) Some scholars are not boysThis may or may not be true because there are chances that all scholars may also be boys.

3) Some observers are boys.We know that either all or some observers are scholars (i.e. the set of observers is definitely a subset of the set of scholars) and the intersection of the sets of scholars and boys is not a null set. This means that some observers will always be boys. Hence conclusion 3 is true.

4) Some teachers are scholars.The intersection of set of boys and scholars is not a null set and the intersection of set of boys and teachers is not a null set. But this doesn’t mean that the intersection of boys and teachers will also be a null set. There may or may not be some teachers who are scholars.

Thus this statement is incorrect.

Hence, option (a).

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**IIFT 2011 LR | LR - Syllogisms**

**Each of the questions below starts with a few statements, followed by four conclusions numbered 1, 2, 3 and 4. You have to consider every given statement as true, even if it does not conform to the accepted facts. Read the conclusions carefully and then decide which of the conclusion(s) logically follow(s) from the given statements, disregarding commonly known facts.**

Statements:

a. All teachers are professors

b. All professors are researchers

c. All researchers are consultants

Conclusions:

1. Some consultants are teachers

2. All professors are consultants

3. Some researchers are teachers

4. All professors are teachers

- A.
Only 1 and 2 follow

- B.
Only 1 and 3 follow

- C.
Either 1 or 4 follow

- D.
None of the above

Answer: Option D

**Explanation** :

All teachers are professors.

This means that either the set of teachers is identical to the set of professors or the set of teachers is a subset of the set of professors.

All professors are researchers.

This means that either the set of researchers is identical to the set of professors or the set of professors is a subset of the set of researchers.

All researchers are consultants.

This means that either the set of researchers is identical to the set of consultants or the set of researchers is a subset of the set of consultants.

Let us analyze the conclusions now

1) Some consultants are teachers

This is true as the set of teachers will atleast be a subset of professors which atleast will be a subset of researchers which will atleast be a subset of consultants.

2) All professors are consultants.

Set of professors will always be atleast a subset of researchers which will always be atleast a subset of consultants.

Hence this statement is also true.

3) Some researchers are teachers.

From the analysis of statement 1, we know that this statement is also true.

4) All professors are teachers.This is untrue because the set of professors is not a subset of teachers.

Hence, option (d).

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