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: \[J\#R,\,\,R%K,\,\,KD\] |
Conclusions I. \[K\,\,J\] II.\[D\,\,\,\,J\] |
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) (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: A
Solution :
\[\begin{array}{*{35}{l}} \text{ }=\text{ }P\text{ }<\text{ }Q \\ S\text{ }=\text{ }P\text{ }\ge \text{ }Q \\ \#\text{ }=\text{ }P\text{ }=\text{ }Q \\ \begin{align} & \text{ }=\text{ }P\text{ }\le \text{ }Q \\ & %\text{ }=\text{ }P\text{ }>\text{ }Q \\ \end{align} \\ \end{array}~~~~~~~~~~~\] (a) Statement: \[J\text{ }=\text{ }R,\text{ }R\text{ }>\text{ }K,\text{ }K\text{ }<\text{ }D\] \[\therefore \text{ }J=R>K<D\] Conclusions I. \[K\,\,<\,\,J\] (3) II. \[D\,\,<\,\,J\] (5)You need to login to perform this action.
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