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
N @ W; W $\#$ H; H % T
Conclusions
I. H % N
II. T $\#$ 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 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
N @ W $\Rightarrow$ N $\ge$ W ...(i)
W $\#$ H $\Rightarrow$ W > H ...(ii)
H % T $\Rightarrow$ H < T ...(iii)
From the above statements, we get N $\ge$ W > H < T
I. H % N $\Rightarrow$ H < N (True)
As, N $\ge$ W > H
So, N > H
II. T $\#$ W $\Rightarrow$ T > W (False)
As, relation cannot be established between T and W.