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
$R\copyright D$
$D\$M$
$M\ast J$
Conclusions
I. $J\$D$
II. $J\%D$

• 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 A Either Conclusion I or II is true

P @ Q = P > Q
P $\%$ Q = P < Q
P © Q = P $\le$ Q
$P\$Q$ = P $\ge$ Q
$P\ast Q=P=Q$
Statements: R $\le$ D, D $\ge$ M, M =J
$\therefore$ R < H $\le$T > K
Conclusions:
I. $T\le R$
II. $K<H$
Hence, either Conclusion I or II is true