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
$V\copyright K;K@B;B\$M$
Conclusions
I. $V\copyright B$
II. $M\copyright K$
III. $M\copyright V$

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

Answer 1

The correct option is C Only II is true

Given statements are
$V\copyright K\Rightarrow V<K$ ...(i)
$K@B\Rightarrow K\ge B$ ....(ii)
$B\$M\Rightarrow B>M$
After combining these statements, we get
I. $V\copyright B\Rightarrow V<B$ (False)
As, a relation cannot be established between V and B.
II. $M\copyright K\Rightarrow M<K$ (True)
As, $K\ge B>M$
So, K > M
III. $M\copyright V\Rightarrow M<V$ (False)
As, no relation can be established.