Question

In the following question, the symbols @, copyright, $\$$, %, @, copyright and $\star$ are used with the following meaning as illustrated below.
'P % Q' means 'P is not smaller than Q'.
'P $\$$ Q' means 'P is not greater than Q'.
'P $\star$ Q' means 'P is neither greater than nor equal to Q'.
'P copyright Q' means 'P is neither smaller than nor greater than Q'.
'P @ Q' means 'P is neither greater than nor smaller to Q'.
Now, in each of the following questions assuming the given statements to be true, find out which of the three conclusions I, II and III given below them is/are definitely true and given your answer accordingly.
% $\Rightarrow \ge$, $\$$ $\Rightarrow$ $\le$ $\star \Rightarrow <$, @ $\Rightarrow$ =, copyright $\Rightarrow$ >
Statements
R @ K; K $\$$ F; F $\star$ N
Conclusions
I. N copyright R
II. F @ R
III. F copyright R

• A. Only I is true
• B. Only either II or III are true
• C. Only I and either II or III are true
• D. Only III is true
• E. None of the above.

Answer 1

The correct option is C Only I and either II or III are true

Given statements are
R @ K $\Rightarrow$ R = K ...(i)
K $\$$ F $\Rightarrow$ K $\le$ F ...(ii)
F $\star$ N $\Rightarrow$ F < N ...(iii)
From the above statements,
R = K $\le$ F < N
I. N copyright R $\Rightarrow$ N > R (True)
As, R $\le$ F < N
So, N > R
II. F @ R $\Rightarrow$ F = R or
III. F copyright R $\Rightarrow$ F > R
So, only I and either II or III are true.