Direction: In the following questions, the symbols c,  %, \[\mathbf{}\] and \[\mathbf{\#}\] are used with the following meaning as illustrated below: |
| \[P\,\,\,\,Q\] means ?P is neither greater than nor equal to Q?, |
| \[P\,\,\$\,\,Q\] means ?P is not smaller than Q? |
| \[P\,\,\#\,\,Q\] means ?P is neither smaller than nor greater than Q?. |
| \[P\text{ }\left( c \right)\text{ }Q\] means ?P is not greater than Q?. |
| \[P\,%\,Q\] means ?P is neither smaller than nor equal to Q?. |
| Statements: \[H\,%\,M,\,\,N\,\,M,\,\,N\,\$\,T\] |
| Conclusions I. \[M\,\,\,\,T\] II. \[H\,%\,T\] |
| Now in each of the following question assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true? |
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 conclusion I and II are true.
Correct Answer: B
Solution :
\[\begin{array}{*{35}{l}} \text{ }=\text{ }P\text{ }<\text{ }Q \\ S\text{ }=\text{ }P\text{ }\ge \text{ }Q \\ \#\text{ }=\text{ }P\text{ }=\text{ }Q \\ \begin{align} & \text{ }=\text{ }P\text{ }\le \text{ }Q \\ & %\text{ }=\text{ }P\text{ }>\text{ }Q \\ \end{align} \\ \end{array}~~~~~~~~~~~\] (b) Statement: \[H>M,\,\,N\le M,\,\,N\ge T\] \[\therefore \,\,\text{ }H\,\,>\,\,M\,\,\ge \,\,N\,\,\ge \,\,T\] Conclusions I. \[M\,\,<\,\,T\] (5) II. \[H\,\,>\,\,T\] (3)
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