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# Coded Inequalities - Logical Reasoning Part 2

In previous session of coded inequalities we had discussed some basic concepts on coded inequality. To further continue on this topic , this is very important topic for bank exams .

Before starting - Must read Part I of Coded Inequalities

Instead of straightforward sign  like greater than (>), smaller than(<) ,Equal to(=),greater than equal to(≥),smaller than equal to (≤), a particular symbol is given like dollar sign(\$),star(*),percent (%)
so on , so first we have to convert these symbol in normal foam like greater than (>), Equal to (=) so on than we have to apply value of symbol between two variables  and convert the given statement and conclusions and than find whether conclusion is correct or not  with respect to given statement

In the following question , the symbol @,.#,%,\$,©  are used with the following meaning

1.‘P#Q’ means ‘P is neither greater than nor equal to Q’
2.‘P©Q’ means ‘P is neither equal to nor smaller than Q’
3.‘P%Q’ means ‘P is neither smaller than nor greater than Q’
4.‘P\$Q’ means ‘P is not smaller than Q’
5.‘P@Q’ means ‘P is not greater than Q’

### Ques 1. Statements :

Conclusion:
1.W#R
3.W\$R
Which conclusion is true

Solution:
First we have to find the meaning of symbol from above equation
From equation -1
P#Q’ means ‘P is neither greater than nor equal to Q’
So sign for # will be <
P<Q
From equation 2
P©Q’ means ‘P is neither equal to nor smaller than Q’
So sign © will be >
P>Q
From equation 3
P%Q’ means ‘P is neither smaller than nor greater than Q’
So sign for % will be =
P=Q
From equation 4
.‘P\$Q’ means ‘P is not smaller than Q’
So sign for \$ will be
P≥Q
From equation 5
P@Q’ means ‘P is not greater than Q’
So sign for @ will be
P≤Q

So from above equation we have find out the meaning of different symbols and now we can convert the statement  in normal foam.
We have to put the value of symbol in given statement
R@D-R≤D
B\$W-B≥W
So statement is    R≤D>W≤B

Conclusion
1.W#R-    W<R
3.B\$R-     W≥R
Conclusion 1 is incorrect as R is not greater than W, there is not relation between R and W
Conclusion 2 is incorrect as B is not greater than D
Conclusion 3 is incorrect as W is not greater than equal to R.

### Ques 2. Statement

Conclusions
2.M@H
Which conclusion is correct

Solution :
We have to put value of symbol in the given statement
H\$V-     H≥V
V%M-    V=M
So statement  equation is   HV=M<K

Conclusion
From equation we can say that K is greater than V so conclusion is correct.
2.M@G-   M≤H
From equation we can say that H is greater than and equal to M so conclusion is correct
From equation we can say that  this conclusion is incorrect

## For Practice

‘A % B’ means ‘A is smaller than B’
‘A @ B’ means ‘A is neither smaller than nor equal to B’
‘A \$ B’ means ‘A is neither greater than nor equal to B’
‘A * B’ means ‘A is neither greater than nor smaller than B’
‘A # B’ means ‘A is not greater than B’

### Statements:

F @ J, J # R, R * L, L % M

Conclusions:
1        F \$ R
2..      M # R
3.   M % J

a)    None is true
b)    Only I is true
c)    Only II is true
d)    Only either II or III is true
e)    All  are true

### Statements:

T # W, W \$ Q, Q % D, D @ J

Conclusions:
1        J \$ T
2.       T \$ J
3..       T \$ Q

a)    Only I and III are true
b)    Only either I or II is true
c)    Only II and III are true
d)    Only III and either I or II are true
e)    None of these 