Question

In the following question, $\delta ,\star ,\%,@$ and © are used with the following meaning as illustrated below.
${}^{\prime }P\star Q^{\prime }$ means 'P is not greater than Q'.
${}^{\prime }P@Q^{\prime }$ means 'P is neither greater than nor equal to Q'.
${}^{\prime }P\copyright Q^{\prime }$ means 'P is not smaller than Q'.
${}^{\prime }P\%Q^{\prime }$ means 'P is neither smaller than nor greater than Q'.
${}^{\prime }P\delta Q^{\prime }$ means 'P is neither smaller than nor equal to 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 is/are definitely true and give your answer accordingly.
$\star \Rightarrow \le$, @ $\Rightarrow$ >, © $\Rightarrow \le$, % $\Rightarrow$ =, $\delta$ $\Rightarrow$ >
Statements
$Z\%M$
$M\star F$
$F\delta D$
Conclusions
I. $F\%Z$
II. $F\delta Z$
III. $D@Z$

• A. Only I is true
• B. Only either I or II is true
• C. Only II is true
• D. Only III is true
• E. None of the above

Answer 1

The correct option is B Only either I or II is true

Given statements are
Z % M $\Rightarrow$ Z = M ...(i)
M $\star$ F $\Rightarrow$ M $\le$ F ...(ii)
F $\delta$ D $\Rightarrow$ F > D ...(iii)
After combining these statements, we get
Z = M $\le$ F > D
So, F % Z $\Rightarrow$ F = Z; F $\delta$ Z $\Rightarrow$ F > Z
So, either I or II is true.
D @ Z $\Rightarrow$ D < Z relation cannot be established.