| Directions: In the following questions, the symbols \[\mathbf{\#, , \$,Qand}\] 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 neither greater than nor smaller than Q?. |
| \[P\text{ }\$\text{}Q\] means ?P is not smaller than Q?. |
| \[P\text{ }\text{ }Q\] means ?P is greater than Q?. |
| \[P\text{ }%\text{ }Q\] means ?P is not greater than Q?. |
| Statements: \[J\text{ }%\text{ }V,\text{ }V\text{ }\#\text{ }T,\text{ }T\text{ }\text{ }R\] |
| Conclusions I. \[R\,\,\,\,J\] II. \[R\,\,\#\,\,J\] |
| 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? |
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: D
Solution :
\[P\,\,\text{ }\!\!\#\!\!\text{ }\,\,Q\,\,\to \,\,P\,\,<\,\,Q\] \[P\,\,\,\,Q\,\,\to \,\,P=Q\] \[P\,\$\,Q\,\,\to\,\,P\geQ\] \[P\,\,Q\,\,\to \,\,P>Q\] \[P\,%\,Q\,\,\to \,\,P\le Q\] (d) Statements: \[J\,\,\le \,\,V,\text{ }V\,\,<\,\,T,\text{ }T\,\,>\,\,R\] \[J\,\,\le \,\,V\,\,<\,\,T\,\,<\,\,R\] Conclusions I. \[R\,\,=\,\,J\] (5) II. \[R\,\,<\,\,J\] (5)
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