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SSC Sample Paper SSC (Group-C) Sample Test Paper-1

  • question_answer
    If \[+\]means division, \[\,-\]means multiplication. \[\,\div \] means subtraction. \[\,\times \]means addition and \[\,<\] means less than, then which of the following is false?            

    A)  \[\left( 10+2 \right)\div 7<\left( 10\div 7 \right)+2\]

    B)  \[\left( 10-7 \right)\times 2<\left( 10\times 2 \right)-7\]

    C)  \[\left( 10\times 7 \right)-2<\left( 10-2 \right)\times 7\]  

    D)  \[\left( 10\div 2 \right)+7<\left( 10+7 \right)\times 2\]

    Correct Answer: C

    Solution :

     
    \[+\Rightarrow \div \] \[-\Rightarrow \times \] \[\div \Rightarrow -\]
    \[\times \Rightarrow +\] \[<\,\Rightarrow \,<\]
    Option [a]     \[\left( 10+2 \right)\div 7<\left( 10\div 7 \right)+2\] \[\Rightarrow \left( 10\div 2 \right)-7<\left( 10-7 \right)\div 2\] \[\Rightarrow \,\,\,5-7>3\div 2\] \[\Rightarrow \,\,-2<\frac{3}{2}\] Option [b] \[\left( 10-7 \right)\times 2<\left( 10\times 2 \right)-7\] \[\Rightarrow \,\,\left( 10\times 7 \right)+2<\left( 10+2 \right)\times 7\] \[\Rightarrow \,\,70+2<\text{ }12\times 7\] \[\Rightarrow \,\,72<84\] Option [c] \[\left( 10\times 7 \right)-2<\left( 10-2 \right)\times 7\] \[\Rightarrow \,\,\left( 10+7 \right)\times 2<\left( 10\times 2 \right)+7\] \[\Rightarrow \,\,17\times 2<20+7\] \[\Rightarrow \,\,3427\] Option [d] \[(10\div 2)+7<(10+7)\times 2\] \[\Rightarrow \,\,(10-2)\div 7<(10\div 7)+2\] \[\Rightarrow \,\,\frac{8}{7}<\frac{10}{7}+2\] \[\Rightarrow \,\,\frac{8}{7}<\frac{10+14}{7}\] \[\Rightarrow \,\,\frac{8}{7}<\frac{24}{7}\]


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