What are Inequality Based Questions?
In these questions, you will be provided with a statement consisting of a group of elements. These elements will be having a certain coded relationship among them which is denoted by different inequality symbols like >, <, = etc.
You should know the meaning of different symbols which will help you in finding the relationship between the different elements of a statement.
S.No | Symbol | Meaning |
|---|---|---|
1. | A > B | A is Greater than B. |
2. | A < B | A is Smaller than B |
3. | A = B | A is Equals to B. |
4. | A ≠ B | A is either greater than or smaller than B |
5. | A ≥ B | A is Greater than or Equals to B |
6. | A ≤ B | A is Smaller than or Equals to B |
The table given above shows the six symbols on which the entire inequality is based. But in exam, you will find a statement that will have a relationship between more than 2 elements.
Statement | Conclusion | |
|---|---|---|
1. | P>Q>R |
P>R |
2. | P>Q≥R | |
3. | P≥Q>R | |
4. | P=Q>R | |
5. | P>Q=R | |
6. | P<Q<R |
P<R |
7. | P<Q≤R | |
8. | P≤Q<R | |
9. | P=Q<R | |
10. | P<Q=R | |
11. | P≥Q≥R |
P>R or P=R |
12. | P=Q≥R | |
13. | P≥Q=R | |
14. | P≤Q≤R |
P<R or P=R |
15. | P=Q≤R | |
16. | P≤Q=R | |
17. | P<Q>R | No conclusion can be inferred |
18. | P≤Q>R | |
19. | P<Q≥R | |
20. | P>Q<R | |
21. | P>Q≤R | |
22. | P≥Q<R |
If you understand the above rules, you will be able to attempt all the questions asked in the exam.
Types of Questions asked in Inequality
Now a days, inequality based questions are provided in two types
- Direct Inequality in which direct symbols will be given in the statement.
- Coded Inequality in which coded symbols (like @, %, $ etc) will be given and they signify will be provided separately.
Both kinds of questions can be solved easily once you have gone through the above tables.
Example:
In the following question, the symbols (*, $, #, % and @) are used with the following meanings as illustrated below:
- ‘X%Y’ means ‘X’ is greater than ‘Y’.
- ‘X#Y’ means ‘X’ is smaller than ‘Y’.
- ‘X$Y’ means ‘X’ is either greater than or equal ‘Y’.
- ‘X*Y’ means ‘X’ is either smaller than or equal to ‘Y’.
‘X@Y’ means ‘X’ is equal to ‘Y’.
A) If only conclusion I is true.
B) If only conclusion II is true.
C) If either conclusion I or II is true.
D) If neither conclusion I nor II is true.
E) If both conclusions I and II are true
Statement: P * Q, Q#R, R*S
Conclusions:
I. P # S
II. Q*S
Answer: A
Explanation:
P ≤ Q < R ≤ S.
Rence, P< S which implies Conclusion I is true.
As Q< S which implies conclusion II is not true
Tips and Tricks to solve Inequality based question:
You should keep in mind the priority order while solving these type questions
- Priority 1: < or >
- Priority 2: ≥ or ≤
- Priority 3: =
Trick 1: Whenever in a statement you get both the priority 1 in opposite order (A>B<C) there will be a conflict and thus no conclusion.
If A > B <C Then A < C = False & C > A = False.
But
If A > B >C then A > C = True, C < A = True
Example:
- Statement: A < D > C < E > B
- Conclusions:
1) C > B → False
2) A < E → False
3) D > B → False
In simple way, whenever these two sign comes in opposite direction the answer will be false.
Trick 2: Whenever in a statement you get both the priority 2 in opposite order (A≥ B ≤C) there will be a conflict and thus no conclusion.
If A ≥ B ≤C Then A ≤ C = False & C ≥ A = False.
But
If A ≥ B ≥ C then A ≥ C = True, C ≤ A = True.
Example:
- Statement: B ≥ D ≤ A ≥ F ≤ C
- Conclusions:
1) A ≥ C → False
2) B ≤ F → False
3) D ≥ C → False
Trick 3: When it occurs to you that the statement of order is opposite just change the sign in the alternate direction
If A > B > C > D < E < F
We can say that A > B > F = C < B < A
This was all about tips and tricks to solve Inequality based questions.So try the above tips and tricks on the Inequality based questions.
Comments
Post a Comment