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 :
$T\#V$
$V\$X$
$X\ast Y$
Conclusions:
I. $V\$Y$
II. $X\#T$

• 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 A Only conclusion I is true

$$\begin{array}{ccc}\%\Rightarrow =& \$\Rightarrow >& \ast \Rightarrow \ge \\ @\Rightarrow <& \#\Rightarrow \le & \end{array}$$
Statements : T # V, $\Rightarrow T\le V,V\$X\Rightarrow V>X,X\ast Y\Rightarrow X\ge Y$
So, $T\le V>X\ge Y$
Conclusions:
I. $V\$Y\Rightarrow V>Y$ (True)
II.$X\#T\Rightarrow X\le T$ (False)