The document Coded Inequalities, Introduction and Examples (with Solutions), Reasoning (Part - 2) LR Notes | EduRev is a part of the LR Course Reasoning Aptitude for Competitive Examinations.

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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 statemen

**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 :**

**R@D,D©W,B$W**

**Conclusion:**

1.W#R

2.B©D

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**

D©W-D>W

B$W-B**≥W**

**So statement is R≤D>W≤B**

**Conclusion**

1.W#R- W<R

2.B©D- B>D

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**

**H$V,V%M,K©M**

Conclusions

1.K©V

2.M@H

3.H©K

Which conclusion is correct

**Solution :**

**We have to put value of symbol in the given statement**

H$V- H**≥V**

V%M- V=M

K©M- K>M

**So statement equation is H**≥**V=M<K**

**Conclusion**

**1.K**©V- K>V

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

3.H©K- H>K

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

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