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: J @ F, $F\delta N,N\%H$ H copyright G
Conclusions:
I. $G\ast N$
II. N copyright J
III. $F\ast J$
IV. $J\delta G$

• A. Only I and II are true
• B. Only I, II and III are true
• C. Only II, III and IV are true
• D. All, I, II, III and IV are true
• E. None of the above

Answer 1

The correct option is A Only I and II are true

$\begin{array}{ccc}\delta \Rightarrow \le & \%\Rightarrow >& \ast \Rightarrow <\\ copyright\Rightarrow \ge & @\Rightarrow =& \end{array}$
J @ F $\Rightarrow J=F$
$F\delta N\Rightarrow F\le N$
$N\%H\Rightarrow N>H$
H copyright G $\Rightarrow H\ge G$
So, $J=F\le N>H\ge G$
Conclusions:
I. $G\ast N\Rightarrow G<N$ (True)
II. N copyright J $\Rightarrow N\ge J$ (True)
III. $F\ast J\Rightarrow F<J$ (False)
IV. $J\delta G\Rightarrow J\le G$ (False)
So, only I and II are true.