Logical Inequalities

About Logical Inequalities

Logical inequalities are seen in most of the MBA papers, they cover sections of quantitative aptitude as well as logical reasoning section of the MBA papers. Logical inequalities are the question which involves statements which are either true/false, thus causing the inequality.

Types of questions under Logical Inequalities

These are questions which create a level of confusion of inequality, where the candidate needs to validate the answer based on the legitimacy of the statements given. Some of the few topics where these type of questions arise in an MBA paper are  

  • Conclusion type- these questions are seen in the Quanitative Aptitude section where 2 statements are given and there can be multiple alternatives:
  1. Both statements hold true
  2. Statement 1 is true, statement 2 is false 
  3. Statement 2 is true, statement 1 is false 
  4. Both statements are false

If a situation arises, when either one of the statements is true, then it Is a logical inequality, whereas if both statements are true or both are false then it is a logically equivalent situation.

  • Greater than/Less than type- in such situations 2 statements are given which have a correlation between each other in terms of numerical values being smaller or larger than each other and then 4 adjoining questions are given:
  1. Values in Statement 1 are greater than those in Statement 2 
  2. Values in Statement 2 are greater than those in Statement 1
  3. Values in both statements are equal
  4. None of the above 

In these types of questions when one is greater than and the other is less than, a logical inequality is created.

  • Reasoning Type – symbols are used to denote values and the applicant needs to solve a statement concerning those symbols which denote the values.

Topics for logical inequalities

  • Symbols 
  • Greater than/less than
  • Relations 
  • True/False 
  • Statements

Logical Inequalities in MBA papers

  • All the MBA papers apart from CAT & XAT do have questions on this topic. 
  • However, the weightage for questions varies in different exams

Here are some of the Logical inequality questions from different MBA papers 

 

Logical Inequalities
YearNo. of questionsGood AttemptsDifficulty Level
202088Easy
201977Easy
201899Moderate

Details on This Page

Some of the questions from previous year papers

1) Statements:

1. A > B = C

2. G < D > C

            Conclusions:

1. A < C

2. A = G

           Answer Options:

          (a) Only conclusion I hold true. 

          (b) Only conclusion II holds true.

          (c) Either conclusion I or II holds true.

          (d) Neither conclusion I nor II holds true.

          (e) Both conclusions I and II hold true.

 

2)   In the given statements, the relations are represented as follows:

‘P # Q‘ means ‘P is not smaller than Q’.

‘P $ Q‘ means ‘P is neither smaller than nor equal to Q’.

‘P % Q‘ means ‘P is neither greater than nor smaller than Q’.

‘P ^ Q’ means ‘P is not greater than Q’.

‘P & Q’ means ‘P is neither greater than nor equal to Q’.

Statements:

1. X # Y

2. Y $ Z

3. A & Z

Conclusions:

1. Z & X

2. A $ Y

Answer Options:

(a) Only conclusion I hold true.

(b) Only conclusion II holds true.

(c) Either conclusion I or II holds true.

(d) Neither conclusion I nor II holds true.

(e) Both conclusions I and II hold true.

If Statement A is alone to answer but Statement B cant answer the question alone

If Statement B is alone to answer the but Statement B cant answer the question alone

The question cannot be answered by statement A or statement B alone but can be answered by combining these two statements.

The question can be answered by statement A alone and statement B alone

 

The question cannot be answered by statement A or statement B alone and cannot be answered even by combining these two statements.

 

Preparation Strategy for Logical Inequalities

Level 1 : Easy

Understand the concepts and try to solve easy questions from modules or books of renowned authors and understand your level of comfort with the topic. Try to solve easy questions from books, and see how well versed you are with the topics, focus more on the relation and symbol-based questions as these form the major chunk of MBA papers.

Level 2: Medium

Try to solve complete practice sheets of the topic and see what is the percentage of correct questions in the paper. Try solving different sets of practice sheets without looking at the answer key and solve questions in sets of 10. Devote 30 minutes a day to this topic and see the accuracy each day.

Level 3: Advanced level  

Solve time-based mocks and try to score as high as possible in logical inequality questions in the MBA paper. After seeing the results of the mocks, it is time to formulate the final strategy for attempting logical inequality based questions in the MBA papers, a quick revision of the important topics which have been seen in the previous year MBA papers will help one analyze what are the questions to be attempted and how many of these type to be attempted.