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Though the term syllogisms applies to Logical Set theory questions, somehow in the students’ mind the term has got associated with several other types of
questions. Generally students classify the following questions under “Syllogisms”: Logical Set theory, Conclusions, Inferences, Assumptions; Arguments;
Courses of Action; Cause- Effect; and Probably True/Probably False. All these may be correctly seen as verbal reasoning questions rather than syllogisms
questions.

This article tries to give some concepts and methodology to solve these questions, because classes and books are rather lacking in both, though practice
material abounds.

Logical Set theory

These questions ask you to identify a conclusion that follows through logical deduction from the given premises. In order solve these questions correctly
you need to merely understand the knowledge and ignorance dictated by the given data. For example, if the data is All X are Y – the knowledge
(certainty) is that Some Y are X. The ignorance inherent in the data is: we have no knowledge about whether there are or there aren’tY which are
not X. Hence the conclusion that follows from All X are Y is that Some Y are X – this also called the converse of the proposition All X are Y. Since we do not know whether there Y which are not X – a conclusion stating Some Y are not X does not follow form the
proposition. However, a conclusion All Y may be X follows because the possibility exists and the possibility is true. In CET what is true is your
answer and what is false or ‘can’t say’ is not your answer.

This may look complicated on the surface. However, when you understand that there are only 4 statements in Logic (called Categorical Propositions) that one
needs to analyse this way makes Logical Set theory questions child’s play. These statements are: 1. All X are Y 2. Some X are Y 3. Some X are not Y, and 4. No X are Y.

If you analyse Some X are Y, it gives the same conclusion as the first, or Some Y are X. Some X are not Y andSome Y are not X do not follow from this premise because their existence is merely a possibility. Some X may not be Y, and Some Y may not be X follow as possibilities, hence are accepted as conclusions. In other words, Some X are not Y is not your answer,
but Some X may not be Y is your answer.

Similarly, Some X are not Y does not yield any conclusion, but only possibilities. Some X may not be Y and Some Y may not be X
are the possibilities and are accepted as answers. The last of the categorical propositions No X are Y yields No Y are X. No
possibilities arise from this proposition.

Venn diagrams are a convenient method of visually representing the given data and can be used to verify your answer. Syllogisms questions are not limited
to merely three variables as explained above. There is always a third variable too. Hence a typical question May look like:

Some X are Y
, and No X is Z, hence Some Y are not Z. The conclusion in this question, Some Y are not Z, is true because whatever
relationship you establish between Y and Z there will always be some Y which are not Z, as there are some X’s which are Y, and No X is Z , and these Y (XY)
cannot be Z.

Conclusions

This article assumes that you are familiar with the format in which conclusion questions are asked in CET. You are given a couple of sentences or a very
short paragraph, which is called the Main Statements. The Main Statements are followed by two statements generally numbered as I and II. You need to
identify whether I alone is an inference that can be drawn from the main statements, or II alone is an inference, whether both are inferences, neither is
an inference, or they contradict each other (either is an inference).

Before trying to solve questions, let us try to understand what exactly a conclusion is, when the data presented to us is purely verbal. In the
examination, the instructions to these questions sometimes ask you to identify what is implicit, stated, or contrary to the main
statement. The word implicit is our key to what an inference means. What is implicit is not stated in the paragraph but understood. In other words, a conclusion is something that you understand by listening to somebody (or by reading) though it is not expressed by
the speaker or writer in so many words. That means in order to identify a conclusion you have to look for things that are not said, but what become true
indirectly once those words are said or written.

In our daily life we make conclusions all the time. For example, when I ask students why they are late for a lecture, most often the reply is “traffic
jam”. If one is late because of traffic jam, we understand that ‘the person travels by road’. Though this is not stated explicitly it has to be true if
traffic jam has caused his delay. Hence he or she travels by road is a conclusion that we can arrive at from the statement that “I was late because traffic
jam”. If a CET question has to be written from this data, it will most probably look like this:

Main statement: She was late for the class as she was caught in a traffic jam.

Conclusion: She travels by road.

A conclusion is definitely true if the given data is true; it is not explicit in the data (what is explicitly stated in the data; what is explicitly stated
is a restatement and not a conclusion. She was late for the class is a restatement. Conclusion that is something the listener conclusively arrives at by
listening to the speaker – it follows form the data that the speaker has presented.

Inferences

The difference between a conclusion and inference is that while a conclusion is definitely true an inference is only convincingly true. In other words, the
data supports the inference as a strong possibility that cannot be completely ruled out. This happens because the listener actively listening to a speaker
(Main Statements) arrives at certain decisions about the intentions of the speaker. These are inferences. In other words inferences are not clearly
revealed or fully developed by the speaker or writer but understood by the listener.

Or more elaborately an inference is based on the given data and remains true unless proved otherwise. The available data cannot contradict inferences. For
example, all scientific truths are inferences. When we say, ‘a carbon atom has six electrons’ – it based on several independent observations and
experiments. It remains true as long as some scientist disproves it. However, as long as new observation that contradicts this is not available, a carbon atom has six electrons remains true. It is an inference. You can think of other scientific truths and analyse further for clarity.

Assumptions

Assumption questions in competitive exams, more often than not, follow the format of the conclusions questions we saw earlier. If you have understood how
to identify a conclusion, you already know how to identify an assumption. The reason is that assumptions and conclusions are very similar. An assumption is
also what is implicit in the main statement. It is also, hence, the unstated part of the main statement which the writer and the reader take for granted,
leave unexpressed, and undeveloped. The truth of what is written or spoken will depend on the assumptions.

Now, try to uncover the assumptions behind my writing this article. As a reader you may say that the writer believes that “someone will read this article.”
The article is written assuming that someone will read it. The way we conduct ourselves in our day to day life – i.e. what we speak and write in the normal
course of daily living contain a lot many assumptions.

Wouldn’t the above qualify for a conclusion as well? Yes it would. That is because all assumptions are conclusions. However, the reverse is not true. If we
identify the exact assumption of the speaker it becomes an assumption as well as a conclusion. However, by analyse the data and come to our own conclusions
which may not be the speaker’s that conclusion is not an assumption. In other words, conclusions follow the data, assumptions precede the data. If, for
example, after reading this article you conclude that the syllogisms is difficult to understand – it is your conclusion , not necessarily the assumption
behind this article.

More elaborately, an assumption is different from a conclusion in that the assumption is true even before the main statement is made (Reasoning experts
call them a priori conditions) In other words, the truth of the main statement depends on the validity of the assumption. If the assumption is not
true the main statement cannot be made or will be meaningless. This is the only difference between a conclusion and an assumption.

Conclusion is necessarily true and is supported completely by the main statement after the main statement is made. An assumption is true even before
the main statement is made – in other words the main statement is based on the assumption.

To recapitulate conclusions, inferences, and assumptions, let us look at a sample question:

Statement: The railway authorities have decided to considerably increase the passenger fares of only the upper classes and marginally reduce the long
distance freight charges for the next financial year.

1. The upper class passengers may be able to afford the higher fares.

2. The railway authorities have the power to decide the fare structure.

3. There has been considerable reduction in freight load in long distance routes.

4. People generally prefer to travel in low cost airlines than by upper class railway routes.

5. None of these

Q1. Which of the above is an inference that can be drawn from the above statement?

Q2. Which of the above is a conclusion that can be made from the above statement?

Q3. Which of the above is an assumption which is implicit in the above statement?

Answer to question 1 is option 1. Answer to question 2 is option 2. Answer to question 3 is also option 1.

Attend a Special CPLC Workshop on ‘Changes in MBA-CET paper pattern and it’s implications on Test-taking’ on Sat, 5-Mar from 4.00-7.00 p.m. at WeSchool, Matunga Central. FREE Video Lectures of Visual Reasoning questions from Actual CET and 2 MockCET papers in the new format for everyone attending the Workshop.

By now we know that Reasoning forms the most important part of the MBA-CET exam and accounts for about 37.5% of the total questions (75 Qs out of 200). In
fact, it is your ability to do well in reasoning questions that will decide how useful your score is. Thus, mastering reasoning questions forms the key to
getting into the top institutes through MBA CET. One more reason for this is that the kind of reasoning questions asked in the CET are not asked in any
other MBA entrance exams. Hence most students, even those who have prepared for exams like the CAT, struggle in the CET when it comes to reasoning.

Reasoning questions can be categorized into the following 7 types:

1. Logical Puzzles (Mathematical and Verbal)

2. Matrix Arrangement

3. Linear Arrangement

4. Circular Arrangement

5. Logical Data Sufficiency

6. Verbal Reasoning (Syllogisms)

7. Critical Reasoning

8. Special Reasoning Questions

1. Logical Puzzles

Type 1: Math Based Puzzles

1.

Complete the following series: 57 58 118 357 ?

(1) 1315 (2) 1075 (3) 1432 (4) 1071 (5) 1236

2.

If ‘+’ stands for division, ‘-‘ stands for addition, ‘x’ stands for subtraction, ‘÷’ stands for multiplication, then insert the missing signs in the
dashes given below.

4____3____2____20____2 = 0

(1) +, x, -, ÷ (2) -, ÷, x, + (3) -, x, +, ÷ (4) +, x, ÷, – (5) x, +, ÷, –

3.

Starting from a point ‘M’, Shekhar walked 18 metres towards south. He turned to his left and walked 25 metres. He then turned to his left and walked 18
metres. He again turned to his left and walked 35 metres and reached a Point ‘P’. How far is Shekhar from the point ‘M’ and in which direction?

(1) 10 metres West (2) 10 metres East (3) 10 metres South (4) 15 metres West (5) 35 metres West

4.
Four of the following five numbers are alike in a certain way and so form a group. Which is the one that does not belong to the group?

(1) 93 (2) 26 (3) 34 (4) 69 (5) 42

Type 2: Verbal Puzzles

Directions for questions 5 and 6
: Answer the following questions based on the following alpha-numeric series

P T 5 M 3 9 B K R 4 D 8 F G 7 6 Y 2 I H P W J N

5.

4 of the following 5 characters are alike with respect to their position in the above sequence and form a group. Which is the one that does not belong
to that group?

(1) T (2) M (3) K (4) R (5) D

6.

Which character is the 6^th to the right of the 14^th character from the left hand, if the second half of the above series is
reversed?

(1) Y (2) 1 (3) B (4) 9 (5) H

7.
If the word ‘COURAGEOUS’ is written as ‘HFPVTDPVSB’, how will you write the word ‘COWARDLY’?

(1) HFMZDPXB (2) SEMZDPXB (3) HFZMPDXB (2) SEZMDPXB (5) SEMZPDXB

8.

While walking with his friend, Mahesh meets another man whose mother is the wife of Mahesh’s father’s only son. How is the man related to Mahesh?

(1) Son (2) Nephew (3) Cousin (4) Uncle (5) Father

9.

If a word can be formed using the 1^st, 3^rd, 5^th and 8^th letter of the word ‘CONTEMPORARY’ then what would
be the first letter of that word. If no such word can be formed, mark the answer as (4) and if more than one word can be formed, mark the answer as
(5)?

(1) O (2) C (3) N (4) No word (5) More than one word

10.

How many such pairs of letters are there in the word ‘ADVERTISE’, each of which has as many letters between them in the word as they have in the
English alphabet?

(1) None (2) One (3) Two (4) Three (5) None of these

2. Matrix Arrangement

A building of seven floors (the ground floor counted as first floor) is owned by seven different persons (one person owns one floor). Six out of these
seven floors are used for different businesses while one of the floors is vacant.

The floor that has the library is owned by K and it has three floors below it. There are three floors between the Insurance Company and the Newspaper
office. The Grocery and the Newspaper office have one floor between them. The Bank is below the Travel Agency and they have two floors between them.
The Newspaper office is just below the Library.

J’s floor is below K’s floor and there are two floors between them. O owns a floor below P’s floor and there are two floors between them. N’s floor is
immediately below L’s floor. M is one of the owners.

There are usually 5 questions following the above information.

3. Linear Arrangement

Twelve cars viz. Mercedes, Swift, Santro, Accord, Innova, Polo, Punto, Figo, Civic, City, Ferrari and Landrover are parked in two parallel rows
containing six cars each, in such a way that there is an equal distance between adjacent cars. The cars parked in row-l are parked in such a manner
that the driver seated in the cars would face the South. In row-2 cars are parked in such a manner that the drivers seated in these cars would face the
North. Therefore, in the given parking arrangement each car parked in a row faces .another car of the other row.

• Mercedes being a big car must be parked at one of the extreme ends. Mercedes is parked second to the left of Santro. Santro faces Figo.

• Punto and Innova are parked immediately next to each other. Neither is parked next to Figo or Santro.

• Civic is parked in such a manner that its driver when’ seated in the parked car would face South. Civic is parked third to the left of Polo.

• City is parked in such a manner that it faces Ferrari.

Ferrari is parked second to the left of Landrover. Landrover faces North and is not parked next to Figo.

• Swift is parked third to the right of Ferrari and faces Innova.

(NOTE: Left and right parking directions are with reference to the driver as if the driver is seated in the car.)

There are usually 5 questions following the above information.

4. Circular Arrangement

Six friends P, Q, R, S, T and V are sitting around a circular table facing either centre or outside.

• P sits third to the left of R. R faces the centre.

• V sits second to left of P.

• Q sits second to right of V.

• T sits to immediate right of Q.

• Immediate neighbors of P face direction opposite to that of P.

• S sits second to left of R.
There are usually 5 questions following the above information.

5. Logical Data Sufficiency

Directions for questions 13 to 16:

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in
the statements are sufficient to answer the question.

Type 1: Arrangement Based

13.
Who is sitting around Rahul around a rectangular table?

(i)
Mohan and Sunil are sitting next to each other

(ii)
Abhay is sitting to the right of Sunil

Type 2: Relationship Based

14.
How is Q related to D?

(i)
B and C are sisters of D

(ii)
M is the husband of Q

Type 3: Coding Based

15.
What is code for ‘drink’ in a code language?

(i)
‘pic natos’ means ‘go drink it’ in that language

(ii)
‘jana pod’ means ‘drink some water’ in that language

Type 4: Comparison Based

16.
How many people are between P and Q when P, Q, R, S, T, U are arranged in decreasing order of their heights?

(i) P is taller than R but not the tallest

(ii) There are two people who are taller than R, U but shorter than S, T.

6. Verbal Reasoning / Syllogisms

These are questions based on finding conclusions and assumptions based on a set of statements, finding strong and weak arguments from a set of arguments,
finding the degree of truth and falsity in conclusions, determining the correct courses of action, finding which statement is a cause and which one is an
effect, and critical reasoning. We will be dedicating full article to syllogisms and hence will refrain from giving any examples here.

7. Critical Reasoning

India and China make competing plans for the river Brahmaputra’s precious waters. The dams and hydropower projects planned are stated to have a
potential of about20,000 MW. There is, however, apprehension in the Indian water and power ministries that China’s similar dam construction programs
all the same river could adversely affect this potential.

A.
Brahmaputra river passes through both the countries.

B.
India should take the lead and begin construction of dams for hydropower projects before China does.

C.
Building cascades of dams at multiple locations in the river would have massive environmental impacts.

D.
A dam built by China on river Xang, close to Indian border, led to severe floods in India and some parts of China last year.

E.
Similar dams built on the river Xang which passes through both the countries did not affect the power generating capacity of either dam.

Q1. Which of the statements numbered (A); (B), (C), (D) and (E) mentioned above represents an assumption implicit in the given paragraph or an
inference which can be drawn from it?

A. Only A B. Only B C. Only.C D.Only D E. Both A and C

Q2. Which of the statements numbered (A), (B). (C), (D) and (E) mentioned above would weaken the case for both the countries to build dams on the
river?

A. Only A B. Only B C.Only C D.Only D E. Both C and D

Q3. Which of the statements numbered (A), (B), (C), (D) and (E) mentioned above would case India’s apprehensions regarding China’s similar dam
construction projects?

A. A B. B C.C D.D E. E

Q4. Which of the statements numbered (A), (B), (C), (D) and (E) mentioned above would best represent a course of action which can be taken by the
Indian government to counter China’s competing plans?

A. A B. B C.C D.D E. E

8. Special Reasoning Questions

Type 1: Sequential Output Tracing

In these questions, an input statement is given (that can consist of words and numerals). This statement is sequentially arranged in different steps. You
need to crack the logic of re-arrangement and answer the questions pertaining to a different input statement.

Type 2: Decision Making

In these questions, certain conditions for selection of candidates into an institute or an organization are given. Based on these you need to take suitable
course of action on different candidates.

Break-up of Reasoning Questions in the past CET papers.