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

  • question_answer
    It being given that x denotes ' greater than', \[\phi \] denote ' equal to', < denotes ' not less than', \[\bot \] denotes 'not equal to, \[\Delta \]denotes' less than' and + denotes' not greater than', choose the correct statement from the following If \[a\times b\,\Delta \,c,\] it follows that

    A)  \[a\,\phi \,\Delta \,b\]              

    B)  \[b<a\times c\]

    C)  \[a<b+c\]                 

    D)  \[b<a\,\phi \,c\]

    Correct Answer: C

    Solution :

        Using the usual notations, we have (a) The statement is \[a>b<c\Rightarrow a=c<b,\]which is false                  \[[\because c<b]\] (b) The statement is \[a>b<c\Rightarrow b<a>c,\]which is false.                             \[[\because b<a]\] (c) The statement is \[a>b<c\Rightarrow a<b>c,\]which is true                               (d) The statement is \[a>b<c\Rightarrow c<b<a,\]which is false.                 \[[\because b<a]\]


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