Question

In the following questions, the symbols @, $\#$, $\$$, $\star$ and % are used with the defferent 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
F $\#$ R; H % R; L $\star$ H
Conclusions
I. F $\#$ L
II. R @ L

• 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 A If only conclusion I is true

Given statements are
F $\#$ R $\Rightarrow$ F > R ...(i)
H % R $\Rightarrow$ H < R ...(ii)
L $\star$ H $\Rightarrow$ L $\le$ H ...(iii)
From the above statements F > R > H $\ge$ L
I. F $\#$ L $\Rightarrow$ F > L (True)
As, F > R > H $\ge$ L
So, F > L
II. R @ L $\Rightarrow$ R $\ge$ L (False)
As, R > L