8th Class Mathematics Related to Competitive Exam Question Bank Mathematical Operations

  • question_answer
    DIRECTIONS: In the following questions, the symbols, \[\text{+ and  }\!\!\times\!\!\text{ ,4 and 6}\], \[\text{+ and  }\!\!\times\!\!\text{ ,4 and 6}\], =, * and \[4+12=16\] are used with the following meanings ?A \[16=16,\] B? means ?A is greater than B?; ?A \[4\times 6-2=14\]B? means ?A greater than or equal to B?; ?A = B? means ?A is equal to B?; ?A * B? means ?A is smaller than B?; ?A \[\times \text{to }\div ,2\text{and}4\]B? means ?A is either smaller than or equal to B?; Now in each of the following questions, assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true. Statements:  U = V, V * N, R \[(6\div 2)\times 3=0\] U Conclusion:  I. R * N II. U \[\div and\times ,2and3\]N

    A) if only if conclusion I is true

    B) if only conclusion II is true

    C) if either I or II is true

    D) if neither I nor II is true

    Correct Answer: A

    Solution :

        Given statements: \[\Rightarrow \] Relation between R and N \[\Rightarrow \]\[\Delta \]\[\Rightarrow \]i.e. R*N So, I is true. II. Relation between U and N: \[p\Delta q\]\[\Rightarrow \] \[p\square p\] i.e., U * N So, \[p\phi q\] i.e. \[p\times q\] is not true. Thus, II is false.


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