Study Notes & Short Tricks: Inequalities part-2

As per today’s scenario in the Banking exam even in other exams like SSC, it has become important that to solve a particular problem quickly you have to know the concept behind the question and also the way how to solve that problem quickly. Keeping in mind that thing we are providing here some important study notes and short tricks of various topics of Reasoning Ability so that a student can attempt more questions in less time (especially in Banking and SSC exams) and can make a higher probability of being selected. Best of hard work to all students. Keep using Bankersadda.


1. Direct Inequality :– In this type, relationship symbols between variables are given indirect form.
Example:–
Statement: A=B≥C<D=E≤F
Conclusion:  (a) F>B (b) B≥D
           (û)      (û)
Here, both conclusion (a) and (b) does not follow. As there is relation between F and B, B and D.
And here, variables of both conclusions are different
So, there will no “either-or” case.
Statement: P>M>Q≥Z>N
Conclusions: (a) Q>N (b) P>N
          (ü)              (û)
Statement: X>Y=Z>V<W
Conclusions: (a) Y=V (b) X>V
                            (û)           (ü)
Here, conclusion (a) is wrong as Y is greater than V and conclusion (b) is right.
Statement: P=Q=R≤W<V
Conclusions: (a) Q≤W (b) R≤V
            (ü)      (û)
Here, Conclusion (a) is right and (b) is wrong because R will be less than V (R < V).

Statement: H>M<Q≥R>X<Y
Conclusions: (a) M>R (b) M≤R
           (û)      (û)
Here both conclusions are wrong but variables are same. And by combining both conclusions we are getting all three possibilities of relation between M and R.
So, here answer will be either conclusion (a) or (b) follows.
2. Indirect Inequalities: – In this type, relationship symbols between variables are given in coded form.
Example : – A © B means ‘A’ is smaller than ‘B’
A # B means ‘A’ is greater than ‘B’
A % B means ‘A’ is either smaller than or equal to ‘B’
A $ B means ‘A’ is either greater than or equal to ‘B’
A @ B means ‘A’ is neither smaller than nor greater than ‘B’
Statement: V # S, S © L, L © J
Conclusion: I. V © L II. S © J
For solving coded inequalities, there is one method to decode all coded symbol and decode symbols between statement and conclusion and then check the relationship between variables. But this method is lengthy. And each second is important for students during exam.
So, we are presenting magic box trick to solve these type of questions in less time.

We will divide box in two groups (1) and (2)
Now we are taking an example of Indirect inequality and will explain this magic box trick.
Example: – A © B means ‘A’ is smaller than ‘B’
A # B means ‘A’ is greater than ‘B’
A % B means ‘A’ is either smaller than or equal to ‘B’
A $ B means ‘A’ is either greater than or equal to ‘B’
A @ B means ‘A’ is neither smaller than nor greater than ‘B’

Statement: V # S, S © L, L © J
Conclusions: (i) V © L (ii) S © J
Steps to apply Magic for trick :–
1. First of all we will draw a rectangular box and place all different symbols of inequalities.

2. Now, we decode given information and place that particular code at different symbols place in a rectangular box.

Remember one thing that we can compare variables with same group of coded symbols
i.e. we cannot compare # and © or $ and %.
3. Now we will try to solve the question as in conclusions
I. it is asked V © L ?
As in statement it is given V # S, S © L
So, we cannot compare # and © as they belongs to different group.
And in conclusion II. It is asked S © J ?
 And is statement it is given S © L, L © J
So, S © J is correct.
Example – 2:–
Statement : M # R, R $ J, J @ H
Conclusion: I. M # J II. R $ H
As in conclusions I. It is asked M # J ?
So, we will the find the relation between M and J and we have to compare # and $. And according to Magic box # and $ belongs to same group and priority of # is more than $.
So, conclusions I. is correct.
And in conclusions II. We have to find relation between R and H and for this we have to compare $ and @ and  according to magic box $ and @ belongs to same group and priority of $ is more than @
So, Conclusions II. Is correct.
We have tried our best to give clear and detail concept of Inequalities. Hope you will be able to get it and can solve must do questions of Inequalities in less time.