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: E © U, C * E, C © B Conclusions:             I. U = C II. E © b

    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: B

    Solution :

        Given statements\[E\ge U,\]\[C<E,\]\[C>B\] Relation between\[U\]and\[C\]: \[U\le E,\]\[E>C\Rightarrow \]no definite conclusion. So, I is not true. (II) Relation between\[E\]and\[B\]: \[E<C,\] \[C>B\Rightarrow E>B\]i.e., \[E\,\,B\] So, II is true.


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