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  3. 12th Class
  4. Mental Ability
  5. Coding-Decoding

12th Class Mental Ability Coding-Decoding Question Bank Question - Statements and Conclusion Symbols

  • question_answer
    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. \[A\,\,*\,\,E\]
    Now, in each of the following questions, assuming the given statements to be true, find which of the two conclusions I & 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 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.\[A*E\,\,\,\,\to \,\,A\,\,=\,\,E\]


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