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SSC Sample Paper Mock Test-5 SSC CGL Tear-II Paper-1

  • question_answer
               One cubic metre piece of copper is melted and recast into a square cross-section bar, 36 m long. An exact cube is cut off from this bar. If 1 cu m of  copper cost is Rs. 108, the cost of this cube is

    A)  30 paise                       

    B)  40 paise                                  

    C)  50 paise

    D)  Rs. 1    

    Correct Answer: C

    Solution :

    Volume of bar = Volume of piece of copper \[=1\,\,\,{{m}^{3}}\] length of bar = 36 m                      \[\therefore \]Area of square cross-section of bar \[=\frac{\text{Volume}}{\text{Length}}=\frac{1}{36}\,\,{{m}^{2}}\] \[\therefore \] Side of square cross-section \[=\sqrt{\frac{1}{36}}=\frac{1}{6}\,\,m\] Volume of exact cube which is cut off from bar       \[={{\left( \frac{1}{6} \right)}^{3}}=\frac{1}{6}\times \frac{1}{6}\times \frac{1}{6}=\frac{1}{216}{{m}^{3}}\] Cost of cube = Rs.\[\frac{1}{216}\times 108\]= Rs.\[\frac{1}{2}=50\]paise                        


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