Question

In these questions, the symbols $@,\#,\$,\%$ and $\ast$ are used with different meanings as follows.
${}^{\prime }A@B^{\prime }$ means 'A is not smaller than B'.
${}^{\prime }A\#B^{\prime }$ means 'A is neither smaller than nor equal to B'.
${}^{\prime }A\$B^{\prime }$ means 'A is neither greater than nor smaller than B'.
${}^{\prime }A\%B^{\prime }$ means 'A is not greater than B'.
${}^{\prime }A\ast B^{\prime }$ means 'A is neither greater than nor equal to B'.
In each question, four statements showing relationships have been given, which are followed by three conclusions I, II and III. Assuming that the given statements are true, find out which conclusion(s) is/are definitely true and give your answer accordingly.
$@\Rightarrow \ge ,\%\Rightarrow ,\#\Rightarrow >,\ast \Rightarrow >,\$\Rightarrow =$

Statements
$R@J;J\%F;F\ast E;E\%M$
Conclusions
I. $M\#J$
II. $F\%M$
III. $M\ast R$

• A. Only I follows
• B. Only II follows
• C. Only III follows
• D. Only I and II follow
• E. All follow

Answer 1

The correct option is A Only I follows

Given statements are
$R@J\Rightarrow R\ge J$ ...(i)
$J\%F\Rightarrow J\le F$ ...(ii)
$F\ast E\Rightarrow F<E$ ...(iii)
$E\%M\Rightarrow E\le M$ ...(iv)
From the above statements,
$R\ge J\le F<E\le M$
I. $M\#J\Rightarrow M>J$ (True)
As, $J\le F<E\le M$
So, M > J
II. $F\%M\Rightarrow F\le M$ (False)
As, $F<E\le M$
So, M > F
III. $M\ast R\Rightarrow M<R$ (False)
As, relation cannot be established