Question

In the following qudestions, the symbols $\delta$, $\star$, %, @ and $\#$ are used with the following meaning as illustrated.
'A % B' means 'A is neither greater than nor equal to B'.
'A $\#$ B' means 'A is neither smaller than nor equal to B'.
'A $\delta$ B' means 'A is neither smaller than nor greater than B'.
'A $\star$ B' means 'A is not smaller than B'.
'A @ B' means 'A is not greater than B'.
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 give your answer accordingly.
% $\Rightarrow <$, @ $\Rightarrow$ $\le$ $\#\Rightarrow >$, $\delta$ $\Rightarrow$ =, $\star$ $\Rightarrow$ $\le$
Statements
H @ K; K $\delta$ N; N % T
Conclusions
I. T $\#$ K
II. N $\delta$ H
III. H % N

• A. Only I is true
• B. Only II is true
• C. Only III is true
• D. Only either II or III is true
• E. Only either II or III and I is true.

Answer 1

The correct option is E Only either II or III and I is true.

Given statements are
H @ K $\Rightarrow$ H $\le$ K ...(i)
K $\delta$ N $\Rightarrow$ K = N ...(ii)
N % T $\Rightarrow$ N < T ...(iii)
After combining these statements, we get H $\le$ K = N < T
I. T $\#$ K $\Rightarrow$ T > K (True)
As, K = N < T
So, T > K
II. N $\delta$ H $\Rightarrow$ N = H Or
III. H % N $\Rightarrow$ H , N
So, I is true and either II or III is true.