Question

Directions: In these questions, certain symbols have been used to indicate the relationship between elements as follows.
$A\%B$ means 'A is neither smaller than nor greater than B'.
$A\$B$ means 'A is greater than B'.
$A\ast B$ means 'A is either greater than or equal to B'.
$A@B$ means 'A is smaller than B'.
$A\#B$ means 'A is either smaller than or equal to B'.
In each question, three statements showing relationships have been given, which are followed by two conclusions, I and II. Assume that the given statements are true. Find out which conclusion(s) is/are definitely true?

Statements :
$F\ast G$
$G\%H$
$H\$K$
Conclusions:
I. $H@F$
II. $F\%H$

• A. Only conclusion I is true
• B. Only conclusion II is true
• C. Either conclusion I or II is true
• D. Neither conclusion I nor II is true
• E. Both conclusions I and II are true

Answer 1

The correct option is D Neither conclusion I nor II is true

$$\begin{array}{ccc}\%\Rightarrow =& \$\Rightarrow >& \ast \Rightarrow \ge \\ @\Rightarrow <& \#\Rightarrow \le & \end{array}$$
Statements : $F\ast G\Rightarrow F\ge G,G\%H\Rightarrow G=H,H\$K\Rightarrow H>K$
So, $F\ge G=H>K$
Conclusions:
I. $H@F\Rightarrow H<F$ (False)
II. $F\%H\Rightarrow F=H$ (False)