Question

Directions: In the following questions, the symbols $\$,\ast ,\%,\delta ,$ and @ are used with the following meaning as illustrated below.
${}^{\prime }P\ast Q^{\prime }$ means 'P is neither greater than nor equal toQ'.
${}^{\prime }P@Q^{\prime }$ means 'P is neither smaller than nor equal to Q'.
${}^{\prime }P\delta Q^{\prime }$ 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 greater than nor smaller than Q'.
Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given is/are definitely true and give your answer accordingly.

Statements:
$D\$T$
$T\delta H$
$H@N$
Conclusions:
I. $H\$D$
II. $H@D$

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

Answer 1

The correct option is C Either conclusion I or II is true

After studying the given relation and logical facts the required answer as follows.
$D\$T\Rightarrow D=T,T\delta H\Rightarrow T\le H$ , H @ N $\Rightarrow H>N$
So, $D-T\le H>N$
Conclusions:
I. $H\$D\Rightarrow H=D$ (False)
II. H @ D $\Rightarrow H>D$ (False)
So, either I or II will be true.