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: \[V\text{ }\$\text{}D,\text{}D\text{}\text{}R,\text{}R\text{}%\text{}F\] |
Conclusions I. \[R\,\,\,\,V\] II.\[V\,\,\,\,F\] |
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: D
Solution :
\[\begin{array}{*{35}{l}} \text{ }=\text{ }P\text{ }<\text{ }Q \\ S\text{ }=\text{ }P\text{ }\ge \text{ }Q \\ \#\text{ }=\text{ }P\text{ }=\text{ }Q \\ \begin{align} & \text{ }=\text{ }P\text{ }\le \text{ }Q \\ & %\text{ }=\text{ }P\text{ }>\text{ }Q \\ \end{align} \\ \end{array}~~~~~~~~~~~\] (d) Statement: \[V\,\,\ge \,\,D,\text{ }D\,\,\le \,\,R,\text{ }R\,\,>\,\,F\] \[\therefore \text{ }V\ge D\le R<F\] Conclusions I. \[R\,\,<\,\,V\] (5) II. \[V<F\] (5)You need to login to perform this action.
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