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Direction: In the question, the symbols @, ©, $, % and  are used with the following meaning as illustrated below:

'P $ Q' means 'P is neither greater than nor equal to Q'.

'P @ Q' means 'P is neither smaller than nor equal to Q'.

'P S Q' means 'P is not greater than Q'.

'P % Q' means 'P is not smaller than Q'.

'P © Q' means 'P is neither greater than nor smaller than Q'

Now in each of the following questions assuming the given statements to be true, find which of the three conclusions I, II and III given below them is/are definitely true and give your answer accordingly

Statements :

T $ M, M © R, R @ K. K % W

Conclusions:       I. W $ R

II. K $ M

III. R@T

A)  Only I and II are true

B)  Only II and III are true

C)  Only I and III are true

D)  All I, II and III are true

E)  None of these

Correct Answer: D

Solution :

           

T $ M  \[\Rightarrow \] T<M

M©R \[\Rightarrow \] M=R

\[RK\Rightarrow \,\,\,R>K\]

\[K\,%\,W\text{ }\,\,\Rightarrow \text{ }K\,\,\underline{>}\,\,W\]

            Therefore, \[T<M=R>K\,\,\underline{>}\,\,\,W\]             Conclusions            

I.W $ R \[\Rightarrow \] W < R: True

II. K $ M \[\Rightarrow \] K < M: True

III R@T \[\Rightarrow \] R>T: True