Question

In these questions, the symbols $@,\%,\copyright ,\$$ and $\#$ are used with the following meaning as illustrated below.
${}^{\prime }P@Q^{\prime }$ means 'P is neither smaller than nor equal to Q'.
${}^{\prime }P\%Q^{\prime }$ means 'P is neither greater than nor equal to Q'.
${}^{\prime }P\copyright Q^{\prime }$ means 'P is not greater than Q'.
${}^{\prime }P\$Q^{\prime }$ means 'P is not smaller than Q'.
${}^{\prime }P\#Q^{\prime }$ means 'P is neither smaller nor greater than Q'.
Assuming the given statements to be true, find which of the conclusions is definitely true?

Statements
$H@K$
$K\%M$
$M\copyright D$
Conclusions
I. $H@D$
II. $K\%D$

• A. Either Conclusion I or II is true
• B. Only Conclusion I is true
• C. Neither Conclusion I nor II is true
• D. Only Conclusion II is true
• E. Both Conclusions I and II are true

Answer 1

The correct option is D Only Conclusion II is true

P @ Q = P > Q
$P\%Q=P<Q$
P © Q = P $\le$ Q
$P\$Q=P\ge QP\#Q=P=Q$

Statements: $H>K,K<M,M\le D$
$\therefore$ $H>K,D\ge M>K$
Conclusions:
I. $H>D$
II. $K<D$
Hence, only Conclusion II is true.