Direction: In each question given below certain symbols are used with the following meaning. |
\[P\,\Delta \,Q\] means ?P is greater than Q?. |
\[P\,\,\,\,Q\] means ?P is either greater than or equal to Q?. |
\[P\,\,*\,\,Q\] means ?P is equal to Q.?. |
\[P\,\,\#\,\,Q\] means ?P is either smaller than or equal to Q?. |
\[P\,\,\$\,\,Q\] means ?P is smaller than Q?. |
Statements: \[A\,\,*\,\,B,\,\,C\#A,\,\,D\,\Delta \,C,\,\,B\,\,E\] |
Conclusions I. \[A\,\Delta \,E\] II. \[A\,\,*\,\,E\] |
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 Conclusions I & II are true.
Correct Answer: C
Solution :
\[P\,\Delta \,Q\,\,\to \,\,P>Q\] \[P\,\,\,\,Q\,\,\,\,\to \,\,\,P\,\,\ge \,\,Q\] \[P\,\,*\,\,Q\,\,\,\to \,\,P\,\,=\,\,Q\] \[P\,\text{ }\!\!\#\!\!\text{ }\,Q\,\,\to \,\,P\,\,\le \,\,Q\] \[P\,\$\,Q\,\,\toP\,\,<\,\,Q\] (c) Statements: \[A\,\,\,*\,\,B\text{ }\to \text{ }A\,\,=\,\,B\] \[C\,\,\#\,\,A\,\,\to \,\,C\le A\] \[D\,\Delta \,C\,\,\,\to \,\,D>C\] \[B\,\,\,\,E\,\,\,\to \,\,B\ge E\] \[\therefore \,\,\,D>C<A=B\ge E\] Conclusions I. \[A\,\Delta \,E\,\,\,\to \,\,A>E\] II.\[A*E\,\,\,\,\to \,\,A\,\,=\,\,E\]You need to login to perform this action.
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