Question

Directions: In the following questions, the symbols $\delta$ @ copyright $\%$ and $\ast$ are used with the following meaning as illustrated below.
'P copyright Q' means 'P is not smaller than Q'.
${}^{\prime }P\%Q^{\prime }$ means 'P is neither smaller than nor equal to Q'.
${}^{\prime }P\ast Q^{\prime }$ means 'P is neither greater than nor equal to Q'.
${}^{\prime }P\delta Q^{\prime }$ means 'P is not greater than Q'.
'P @ Q' means 'P is neither greater than nor 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 III and IV given below them is/are definitely true and give your answer accordingly
Statements: B copyright T, $T\ast R,R\%F$ F @ K
Conclusions:
I. $B\%R$
II. $F\ast T$
III. $R\%K$
IV. $K\ast T$

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

Answer 1

The correct option is D Only III is true

$\begin{array}{ccc}\delta \Rightarrow \le & \%\Rightarrow >& \ast \Rightarrow <\\ copyright\ge & @\Rightarrow =& \end{array}$
B copyright T $\Rightarrow B\ge T$
$T\ast R\Rightarrow T<R$
F @ K $\Rightarrow F=K$
So, $B\ge T<R>F=K$
Conclusions:
I. $B\%R\Rightarrow B>R$ (False)
II. $F\ast T\Rightarrow F<T$ (False)
III. $R\%K\Rightarrow R>K$ (True)
IV. $K\ast T\Rightarrow K<T$ (False)
So, only III is true.