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
V $\star$ W; W $\$$ H; H @ I
Conclusions
I. V $\star$ I
II. I $\star$ W

• 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 conclusion II is true
• E. If both conclusions I and II are true

Answer 1

The correct option is B If only conclusion II is true

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