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

12th Class Mental Ability Coding-Decoding Question Bank Question - Mathematical Operation

  • question_answer
    Directions: The two expression on either side of the sign (=) will have the same value if two terms on either side or on the same side are interchanged. The correct terms to be inter-changed have been given as one of the four alternatives under each expressions. Find the correct alternative. If \[\mathbf{A}\text{ }+\text{ }\mathbf{E}\text{ }=\text{ }\mathbf{B}\text{ }+\text{ }\mathbf{D},\text{ }\mathbf{A}\text{ }+\text{ }\mathbf{B}\text{ }>\text{ }\mathbf{C}\text{ }+\text{ }\mathbf{E},\text{ }\mathbf{A}\text{ }+\text{ }\mathbf{D}\text{ }=\]\[\mathbf{2B},\text{ }\mathbf{C}\text{ }+\text{ }\mathbf{E}\text{ }>\text{ }\mathbf{B}\text{ }+\text{ }\mathbf{D}\], then

    A) \[A>B>C>D>E\]

    B) \[C>B>D>A>E\]

    C) \[C>B>A>E>D\]

    D) \[C>A>B>D>E\]

    Correct Answer: D

    Solution :

    (d) \[C+E>B+D,\,\,B+D=A+E\] \[\Rightarrow \]   \[C\,\,+\,\,E\,\,>\,\,A\,\,+\,\,E\],               ... (i) \[C\,\,>\,\,A\]                                         ... (ii) \[A+B>C+E>B+D\] \[A+\text{ }B>\text{ }B+\text{ }D\] \[A>D\]                              ... (iii) \[A+B=2B\] \[A>B>D\]                       ... (iv) \[A+E=B+D,\,\,A>B\] \[\Rightarrow ~~E\,\,<\,\,D\]                           ... (v) \[C\,\,>\,\,A\,\,>\,\,B\,\,>\,\,D\,\,>\,\,E\] From (i), (iii) and (iv), we get: \[C\,\,>\,\,A\,\,>\,\,B\,\,>\,\,D\,\,>\,\,E\].


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