In this article, we'll go over the concept of reasoning inequality, as well as the kind of questions that might be asked. As well as some time-saving methods and tricks for answering Inequality. Here, candidates will also discover some sample questions about Inequality.

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**Types of Inequality Questions in Reasoning**

Under the Inequality topic, a few statements are provided which provide the relationship between some variables, followed by some conclusions and you need to figure out which of the conclusions provided are by the statements and answer accordingly.

Before moving on to the types of Inequality questions that you may encounter in various bank exams such as IBPS Clerk, IBPS PO exam, and more, first, let us have a quick look over the meaning of different symbols.

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**Tips to Solve Inequality Questions in Bank Exams**

Now, you may come across several conditions under this topic. Thus, here are some tips to solve Inequality Questions in bank exams such -

1. **When the signs face in the same direction for all the given variables**. For instance, for 3 variables, the following cases are possible -

- A > B > C - Here, A > B, B > C and A > C hold true
- A > B ≥ C - Here, A > B, B > C, B = C and A > C hold true (A ≥ C would be wrong)
- A ≥ B > C - Here A > B, A = B, A > C and B > C hold true
- A ≥ B ≥ C - Here A > B, A > C, B > C, A = B, B = C and A = C hold true
- A > B = C - Here A > B, A > C and B = C hold true
- A ≥ B = C - Here, A > B, A > C, B = C and A = C hold true
- A = B > C - Here, A = B, A > C and B > C hold true
- A = B ≥ C - Here, A > C, A = B, A = C, B > C and B = C hold true

2. **When the sign among the given variables changes**. Several cases may be formed in this case. For instance,

- A > B < C - Here, A > B and C > B hold true. No relationship can be established between A and C.
- A ≥ B < C - Here following conclusions may be drawn -

(a) A > B and C > B hold true. No relationship can be established between A and C.

(b) C > B and C > A when A = B hold true. - A ≥ B ≤ C - Here, the following conclusions may be drawn -

(a) A > B, C > B and no relationship can be established between A and C.

(b) A = C when B = C

(c) A > B and A > C when B = C

(d) C > B and C > A when A = B - A > B ≤ C - Here following are possible -

(a) A > B, C > B and no relationship can be established between A and C.

(b) A > B and A > C when B = C - A < B > C - Here B > A and B > C hold true. No relationship can be established between A and C.
- A ≤ B > C - here following are possible -

(a) B > A and B > C hold true. No relationship can be established between A and C.

(b) B > C and A > C when A = B - A < B ≥ C - here following are possible -

(a) B > A and B > C hold true. No relationship can be established between A and C.

(b) B > A and C > A when B = C - A ≤ B ≥ C - here following are possible -

(a) B > A and B > C hold true. No relationship can be established between A and C.

(b) B > A and C > A when B = C

(c) B > C and A > C when A = B

3. **The case of either/or -**

Consider the following statement - A > B < C = D ≤ E. For such a case, no relationship can be established between A and E directly. However, if conclusions are provided as -

Conclusion I . A > E

Conclusion II D < B

Conclusion III. A ≤ E

For this case, clearly, Conclusion II is wrong. However, for I and III, either of the two will follow because, for two given variables, either one of the following will be true -

(a) A > E

(b) A < E

(c) A = E

Hence either I or III will follow.

Practice is the key to success. Regular practice of bank test series will enable you to have a clear concept of this topic and score good marks in the exam.

**Key takeaways from the Inequality Topic**

- If a similar sign is present between the variables, the relationship can be established between them. For instance, A > B > C ≥ D ≥ E, here relationship can be determined for all the given variables.
- However, make sure that the similar sign does not break while drawing answers from the conclusions provided. Take the above example, A > B > C ≥ D ≥ E, Here A > D or A > E would be correct but A ≥ D or A ≥ E would be wrong because the sign > breaks the continuity and is replaced by ≥ in the given statement.
- Whenever the signs between the variables change for a given statement, the relationship cannot be established unless a case of either/ or is given in the conclusion.

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