Question

In the following questions, the symbols $\$,\%,@,\copyright$ and $\ast$ are used with the following meaning as illustrated below.
$‘P\%Q^{\prime }$ means 'P is neither greater than nor smaller than Q'.
${}^{\prime }P\$Q^{\prime }$ means 'P is neither smaller than nor equal to Q'.
$‘P\copyright Q^{\prime }$ means `P is neither greater than nor equal to Q'.
$P\ast Q^{\prime }$ means 'P is not greater than Q'.
${}^{\prime }P@Q^{\prime }$ means 'P is not smaller than Q'.
Now, in each of the following questions assuming the given statements to be true, find which of the three conclusions I, II and III given below them is/are definitely true and give your answer accordingly.
$\%\Rightarrow =,@\Rightarrow \ge ,\$\Rightarrow >,\copyright \Rightarrow <,\ast \Rightarrow \le$

Statements
$K@T;T\$N;N\copyright R$
Conclusions
I. $R\$K$
II. $N\ast K$
III. $K\$N$

• A. None is true
• B. Only I is true
• C. Only II is true
• D. Only III is true
• E. All are true

Answer 1

The correct option is D Only III is true

Given statements are
$K@N\Rightarrow K\ge T$ ...(i)
$T\$N\Rightarrow T>N$ ...(ii)
$N\copyright R\Rightarrow N<R$ ...(iii)
From all above statements, we get
$K\ge T>N<R$
I. $R\$K\Rightarrow R>K$ (False)
As, relation cannot be established
II. $N\ast K\Rightarrow N\le K$ (False)
As, $K\ge T>N$
So, K > N
III. $K\$N\Rightarrow K>N$ (True)
As, $K\ge T>N$
So, K > N