The inequality topic is one of the most important parts of the Reasoning section in the LIC AAO Exam. In the LIC AAO Prelims exam, 4 to 5 questions are asked from this topic. In the LIC AAO Mains exam too, inequality questions are asked in the form of Data Sufficiency problems/ statements. Therefore, inequality questions are an important source of securing good marks in the Reasoning section. To solve these questions, you need to know the basic concepts to solve them with accuracy. In this blog, we are discussing the basic concepts to solve Inequality questions in LIC AAO exam.
Inequality questions are a part of the Logical Reasoning subject and are often asked in the Reasoning Ability section of the LIC AAO Exam. These are also called Mathematical Inequalities. Inequality Reasoning questions are questions that involve inequality expressions like <, >, <=, >=, and = (inequality signs). There are different types of inequality reasoning questions. The most common types of inequality questions are basic inequalities, either/or case inequality, and coded inequality.
The inequality symbols are expressed as below:
| Symbol | Meaning |
| A > B | A is greater than B |
| A < B | A is less than B |
| A = B | A is equal to B |
| A ≥ B | A is either greater than or equal to B |
| A ≤ B | A is either less than or equal to B |
| A ≠ B | A is either greater than or less than B |
There are three types of Inequalities which is used more often in the LIC AAO exam. These are explained below:
In this type of inequality question, a comparison between different elements is given, and the relation between any 2 elements is asked.
In this type of question, we cannot decide a definite relation between two elements. From the given 2 relations, either relation 1 or 2 can be true.
In this type of question, codes will be assigned to symbols, and the expression will be given using those codes. To solve it, you need to decode the symbols and find the relation between the elements.
For solving basic inequality problems, you need to check the order of the symbols used. For solving the either-or case, you need to check the complementary pairs and derive the conclusions. To solve coded inequality questions, you need to decode the symbols used (for example, A% B means A is the father of B).
Basic rules for solving Inequality questions are provided below:
| Statement | Conclusion |
| A > B >C | A > C |
| A > B ≥ C | |
| A ≥ B > C | |
| A = B > C | |
| A > B = C | |
| A < B < C | A < C |
| A < B ≤ C | |
| A ≤ B < C | |
| A = B < C | |
| A < B = C | |
| A ≥ B ≥ C | A > C or A = C |
| A = B ≥ C | |
| A ≥ B = C | |
| A ≤ B ≤ C | A < C or A = C |
| A = B ≤ C | |
| A ≤ B = C | |
| A < B > C | No conclusion can be inferred |
| A ≤ B > C | |
| A < B ≥ C | |
| A > B < C | |
| A > B ≤ C | |
| A ≥ B < C |
Basic rules for solving inequalities either-or case questions are provided below:
| Complementary Pair | Conditions |
| > + = | Elements in both conclusions should be the same. Both are individually false. The combination of the relation should be true. |
| < + = | |
| > + < + = | |
| ≤ + > | Elements in all conclusions should be the same. The relation between the elements in all the cases should be “can’t say” |
| > + ≤ |
Try to solve the questions provided below by yourself and keep a timer beside you to check how much time you need to solve them.
Question 1: In the question, assuming the given statements to be true, find which of the following conclusions (s) among the three conclusions is/are true and then give your answer accordingly.
Statement:
R < A ≤ U < L > M, N < T = K < R, M = Z ≤ O
Conclusions:
I. L > N
II. T ≤ U
III. R ≤ O
A) Only conclusion I is true
B) Only I and II are true
C) Only conclusion II is true
D) Only II and III are true
E) Only conclusion III is true
Question 2: In the question, assuming the given statements to be true, find which of the following conclusion(s) among the three conclusions is/are true and then give your answer accordingly.
Statement:
Z ≥ T ≥ O > D = L; D ≤ K = R; R < M ≥ N
Conclusions:
I. T ≥ K
II. M > L
III. O > R
A) Only conclusion II and III are true.
B) Only conclusion III is true.
C) Only conclusion I is true.
D) All conclusions are true.
E) Only conclusion II is true.
Question 3: In the question, assuming the given statements to be true, find which of the following conclusion(s) among the three conclusions is/are true and then give your answer accordingly.
Statement:
L < J = K ≥ T < R, G = O > P ≤ L, U = R < M
Conclusions:
I. M > T
II. G > J
III. U > L
A) Only conclusion II and III are true.
B) Only conclusion III is true.
C) Only conclusion I is true.
D) All conclusions are true.
E) Only conclusion II is true.
Question 4: Which of the following should be placed in the blank spaces (in the same order from left to right) in order to complete the given expression ‘_ ≥ _ < _ ≤ _’ in such a way that it makes the expression R > J definitely true?
A) J, E, N, R
B) R, E, J, N
C) N, R, E, J
D) J, R, E, N
E) N, J, E, R
Question 5: In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and then give your answer accordingly.
Statement:
R≥O=L>T>K; K=U<M; J≤M=D
Conclusions:
I. R>U
II. L>M
III. J<K
A) Only conclusion I and II are true
B) Only conclusion I is true
C) Only conclusion II and III are true
D) Only conclusion I and III are true
E) All the conclusions are true.
To boost your accuracy in the Inequality questions, try to attempt more questions from PracticeMock topic tests. You will be able to solve these questions within seconds once you get well-versed in the basic concepts to solve them. Check your performance in tests and analyse your weak areas, and try to secure full marks in each test. Practicing inequality questions regularly will help you in fetching a decent marks in the reasoning section of the LIC AAO exam.
Also read other related blogs:
| LIC AAO Syllabus and Exam Pattern | LIC AAO Previous Year Cut-offs |
| LIC AAO Eligibility Criteria | LIC AAO Salary |
| LIC AAO Study Plan | LIC AAO Preparation Strategy |
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No. there is no negative marking in the LIC AAO exam.
To solve inequality questions, you can add, subtract, multiply, or divide a quantity on each side of the equation and reach at a conclusion.
To solve coded inequality accurately, follow the basic rules of inequality.
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