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SSC Sample Paper SSC CGL - Sample Paper-21

  • question_answer
    If \[p:q=r:s=t:u=2:3,\] then \[(mp+nr+ot):(mq+ns+ou)\] is equal to

    A) 1 : 3                             

    B) 1 : 2

    C) 2 : 3                 

    D) 3 : 2

    Correct Answer: C

    Solution :

    \[\because \]\[p:q=r:s=t:u=2:3\] \[\Rightarrow \]   \[p=\frac{2}{3}q,\] \[r=\frac{2}{3}s,\] \[t=\frac{2u}{3}\] \[\therefore \] \[\frac{mp+nr+ot}{mp+ns+ou}=\frac{\frac{2}{3}mq+\frac{2}{3}ns+\frac{2}{3}ou}{mq+ns+ou}\]                         \[=\frac{2}{3}\left( \frac{mq+ns+ou}{mq+ns+ou} \right)\]                         \[=\frac{2}{3}=2:3\]    


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