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

  • question_answer
    DIRECTIONS: In the following question, the symbols, ©, ©, =, * and * are used with the following meanings 'A © B' means 'A is greater than B'; 'A © B' means 'A is greater than or equal to B'; 'A = B' means 'A is equal to B'; 'A * B' means 'A is smaller than B', 'A * 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 * U Conclusions:             I. R * N II. U © 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: \[U=V,V<N,R\le U\] Relation between\[R\]and\[N\] \[R\le U,\]\[U=V,\]\[V<N\Rightarrow R<N\] i.e.,\[R*N\] So, I is true. (II) Relation between\[U\]and\[N\]: \[U=V,\]\[V<N\Rightarrow U<N\]i.e., \[U*N\] So, \[U\underline{}\,N\]i.e. \[U\ge N\]is not true. Thus, II is false.


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