Question

In the following questions, the symbols @, $\#$, $\$$, $\star$ and % are used with the different meaning as follows.
'A @ B' means 'A is not smaller than B'.
'A $\#$ B' means 'A is neither smaller than nor equal to B'.
'A $\$$ B' means 'A is neither greater than nor smaller than B'.
'A $\star$ B' means 'A is not greater than B'.
'A % B' means 'A is neither greater than nor equal to B'.
In each of the following questions assuming the given statements to be true, find out which of the two conclusions I and II given your answer according.
@ $\Rightarrow \ge$, % $\Rightarrow$ < $\#\Rightarrow >$, $\$$ $\Rightarrow$ =, $\star$ $\Rightarrow$ $\le$
Statements
L $\star$ P; P % V; V $\#$ D
Conclusions
I. L $\star$ V
II. L $\$$ D

• A. If only conclusion I is true
• B. If only conclusion II is true
• C. If either conclusion I or conclusion II is true
• D. If neither conclusion I nor conlusion II is true
• E. If both conclusions I and II are true

Answer 1

The correct option is D If neither conclusion I nor conlusion II is true

Given statements
L $\star$ P $\Rightarrow$ L $\le$ P ...(i)
P % V $\Rightarrow$ P < V ...(ii)
V $\#$ D $\Rightarrow$ V > D ...(iii)
From the above statements L $\le$ P < V > D
I. L $\star$ V $\Rightarrow$ L $\le$ V (False)
As, L $\le$ P < V
So, L < V
II. L $\$$ D $\Rightarrow$ L = D (False)
As, relation cannot be established.