Question

In the following questions, the symbols copyright, $\delta ,\$,\ast and\%$, are used with the following meaning as illustrated below.
${}^{\prime }P\delta Q^{\prime }$ means 'P is not greater than Q'.
${}^{\prime }P\%Q^{\prime }$ means 'P is not smaller than Q'.
'P copyright Q' means 'P is neither greater than nor smaller than Q'.
${}^{\prime }P\$Q^{\prime }$ means 'P is greater than Q'.
${}^{\prime }P\ast Q^{\prime }$ means 'P is smaller than Q'.
Now, in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true?
Statements: H copyright F, F $R,R\ast KConclusions:I.R\ast HII.K$ F

• A. If only Conclusion I is true
• B. If only Conclusion II is true
• C. If either Conclusion I or II is true
• D. If neither Conclusion I nor II is true
• E. If both Conclusions I and II are true

Answer 1

The correct option is A If only Conclusion I is true

$P\delta Q\Rightarrow P\le Q$
$P\%Q\Rightarrow P\ge Q$
P copyright Q $\Rightarrow$ P = Q
$P\$Q\Rightarrow P>QP\ast Q\Rightarrow P<Q$
Statements: H = F, F > R, R < K
Conclusions: I. R < H
II. K > F
So, only Conclusion I is true.