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. \[\mathbf{5+3}\,\,\mathbf{\times }\,\,\mathbf{6}\,\,\mathbf{-}\,\,\mathbf{4}\,\,\mathbf{\div }\,\,\mathbf{2=4}\,\,\mathbf{\times }\,\,\mathbf{3-10}\,\,\mathbf{\div }\,\,\mathbf{2}\,\,\mathbf{+}\,\,\mathbf{7}\,\,\mathbf{7}\,\,\mathbf{-}\,\,\mathbf{8}\,\,\mathbf{+}\,\,\mathbf{40}\,\,\mathbf{\div }\,\,\mathbf{2=?}\]

    A) 4, 7

    B) 5, 7

    C) 6, 4

    D) 6, 10

    Correct Answer: C

    Solution :

    (c) Verifying, option (a) and (b), we find them to incorrect. On Inter changing 6 and 4 on L. H. S.  We get the statement as \[5\,\,+\,\,3\,\,\times \,\,4\,\,-\,\,6\,\,\div \,\,2\] \[=4\,\,\times \,\,3\,\,-\,\,10\,\,\div \,\,2\,\,+\,\,7\] \[\Rightarrow \,\,\,\,\,~5+12-3=12-5+7\] \[\Rightarrow \,\,\,\,\,~14\,\,=\,\,14\] Which is true.


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