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
F $\$$ B; B @ H; H % K
Conclusions
I. B % F
II. K @ F
III. K $\$$ B

• A. Only I is true
• B. Only II is true
• C. Only III is true
• D. Only I and III are true
• E. None of these

Answer 1

The correct option is D Only I and III are true

Given statements are
F $\$$ B $\Rightarrow$ F $\le$ B ...(i)
B @ H $\Rightarrow$ B = H ...(ii)
H % K $\Rightarrow$ H $\ge$ K ...(iii)
From the above statements F $\le$ B = H $\ge$ K
I. B % F $\Rightarrow$ B $\ge$ F (True)
As, B = H $\le$ F
So, B $\ge$ F
II. K @ F $\Rightarrow$ K = F (False)
As, F $\le$ B $\ge$ K
III. K $\$$ B $\Rightarrow$ K $\le$ B (True)
As, B = H $\ge$ K
So, no relation can be established.
So, B $\ge$ K.