Question

In the following questions, used with the following meanings
(i) $A\#B$ means A is not greater than B.
(ii) $A\$B$ means A is neither smaller than nor equal to B.
(iii) $A?B$ means A is neither greater than nor smaller than B.
(iv) $A\ast B$ means A is neither greater than nor equal to B.
(v) A @ B means A is not smaller than B.
Now, in each of the following questions, assuming the given statements to be true, find out which of the two conclusions I and II given below them is/are definitely true.
Statements : P $ Q, R @ S, P $\ast$ R
Conclusions:
I. Q $\ast$ R
II. P # S

• 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

Answer 1

The correct option is A If only Conclusion I is true

P > Q ...(i)
R $\ge$ S .....(ii)
P < R ....(iii)
From Eqs. (i) and (iii), we get
R > P > Q $\Rightarrow$ R > Q or Q < R
Hence, I is true.
From Eqs. (ii) and (iii), we get
P < R $\ge$ S $\Rightarrow$ No conclusion
Hence, II is not true.