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7th Class Mathematics Related to Competitive Exam Question Bank Mathematical Operations

  • question_answer
    If \[\text{A}\,\text{+}\,\text{D}\,\text{}\,\text{C}\,\text{+}\,\text{E,}\]\[\text{C}\,\text{+}\,\text{D}\,\text{=}\,\text{2B}\]and \[\text{B}\,\text{+}\,\text{E}\,\text{}\,\text{C}\,\text{+}\,\text{D,}\]it necessarily follows that

    A)  \[\text{A}\,\text{+}\,\text{B }\,\text{2}\,\text{D}\]               

    B)  \[\text{B}\,\text{+}\,\text{D}\,\text{}\,\text{C}\,\text{+}\,\text{E}\]

    C)  \[\text{A}\,\text{+}\,\text{D}\,\text{}\,\text{B}\,\text{+}\,\text{E}\]            

    D)  \[\text{A}\,\text{+}\,\text{D}\,\text{}\,\text{B}\,\text{+}\,\text{C}\]

    Correct Answer: D

    Solution :

         \[A+D>C+E\] \[\Rightarrow A+D>\left( 2B-D \right)+E\left( \because C+D=2B \right)\] \[\Rightarrow A+D>\left( B+E \right)+\left( B-D \right)\] \[\Rightarrow A+D>\left( C+D \right)+\left( B-D \right)\] \[\Rightarrow A+D>B+C.\]


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