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

  • question_answer
    DIRECTIONS: Below are given some symbols indicating some relations given against them Read these symbols carefully and then answer the questions given below. There are four options to each question, of which only one is correct. Find the correct answer. \[\Delta =\]greater than;          \[+=\]not greater than \[\theta =\] equal to;               \[\phi =\]not equal to \[\times =\] less than,              \[\square \,=\]not less than \[a\times b\,\theta \,c\]implies that

    A)  \[a\,\square \,c\,\theta \,b\]                  

    B)  \[b\times a\,\square \,c\]

    C)  \[c\,\square \,b+a\]                

    D)  \[a\,\phi \,b\,\square \,c\]

    Correct Answer: D

    Solution :

         \[a\times b\,\theta \,c\] is equivalent to \[a<b=c.\]Hence between a and b, we have \[a<b\] or \[a\ne b\] or \[a>b\] Further \[b=c\] implies that b and c are inter changeable. Hence (a), (b) and (c) are not possible. [Observe that (b) states \[b<a\] which means \[a>b\] which is not possible. Similarly in (c) \[b>a\] which means\[a<b\]which contradicts the hypothesis.] Is the correct answer which states that \[a\ne b\] and\[b>c.\] Both statements are possible.


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