2. Questions Bank
  3. 11th Class
  4. Mental Ability
  5. Relations and Functions

11th Class Mental Ability Relations and Functions Question Bank Question - Symbols Relation

  • question_answer
    If \[\mathbf{A}+\mathbf{D}=\mathbf{B}+\mathbf{C},\mathbf{A}+\mathbf{E}=\text{ }\mathbf{C}\text{ }+\text{ }\mathbf{D},\text{ }\mathbf{2C}\text{ }<\mathbf{A}+\mathbf{E}\]and \[\mathbf{2A}\text{ }>\text{ }\mathbf{B}\text{ }+\text{ }\mathbf{D}\]then

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

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

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

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

    E) None of these

    Correct Answer: B

    Solution :

    Explanation Option (b) is correct. \[2C<A+E,\,\,A+E=C+D\Rightarrow 2C<C+D\Rightarrow C>D\] \[A+D=B+C,\,\,C<D\Rightarrow A<B\] \[2A>B+D,\,\,A<B\Rightarrow A>D\] \[A+E=C+D,\,\,A>D\Rightarrow E<C\] From (i), (ii), (iii), and (iv), we get: \[B>A>D>C>E\]


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