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: \[B\,\,\,\,E,\,\,E\,\,\#\,\,S,\,\,S\,\,\$\,\,Z\] |
| Conclusions I. \[Z\,\,\,\,E\] II. \[E\,\,\#\,\,Z\] |
| 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: C
Solution :
\[\begin{array}{*{35}{l}} \text{ }=\text{ }P\text{ }<\text{ }Q \\ S\text{ }=\text{ }P\text{ }\ge \text{ }Q \\ \#\text{ }=\text{ }P\text{ }=\text{ }Q \\ \begin{align} & \text{ }=\text{ }P\text{ }\le \text{ }Q \\ & %\text{ }=\text{ }P\text{ }>\text{ }Q \\ \end{align} \\ \end{array}~~~~~~~~~~~\] (c) Statement: \[B<E,\,\,E=S,\,\,S\ge Z\] \[\therefore \,\,\,\text{ }B<E=S\ge Z\] Conclusions I. \[Z\,\,<\,\,E\] (3 5) II. \[E\,\,=\,\,Z\] (5 3)
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