Question

In these questions, the symbols @, %, ©, $, 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'.
${}^{\prime }P\ast Q^{\prime }$ means 'P is neither smaller nor greater than Q'.
Assuming the given statements to be true, find which conclusions is definitely true?
Statements:
$W\ast D$
$Z\copyright B$
$B\$H$
Conclusions:
I. $H\ast Z$
II. $B\%W$

• 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 C Neither Conclusion I nor 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: W = D, Z $\le$ B, B $\ge$ H
$\therefore$ W = D, Z $\le$ B $\ge$ H
Conclusions:
I. $H=Z$
II. $B<W$
Hence, neither Conclusion I nor II is true