## Target SBI PO 2017: Reasoning Inequalities (200 Questions)

REASONING INEQUALITIES
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.
For the sake of convenience, the relationship between certain statements and their meaning is given below in a tabular form.
 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.
Let us take some patterns likely to be asked in the exam
 S.No 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. PR or P=R 12. P=Q≥R 13. P≥Q=R 14. P≤Q≤R PR No conclusion can be inferred 18. P≤Q>R 19. PQQ≤R 22. P≥Q
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
Explanation:
P ≤ Q < R ≤ S.
Hence, 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.