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SSC Sample Paper SSC CGL - Sample Paper-27

  • question_answer
    If a : b = 2 : 3 and b : c = 4 : 5, then the value of \[{{a}^{2}}:{{b}^{2}}:bc\] is

    A) 4 : 9 : 5            

    B) 16 : 36 : 45

    C) 16 : 36 : 20                   

    D) 4 : 36 : 40

    Correct Answer: B

    Solution :

    \[\therefore \] \[a:b:=2:3\] \[\Rightarrow \]   \[{{a}^{2}}:{{b}^{2}}:=4:9=\frac{4}{9}:1\] and       \[b:c=4:5\]             \[{{b}^{2}}:bc=16:20=1:\frac{20}{16}\] \[\therefore \]      \[{{a}^{2}}:{{b}^{2}}:bc=\frac{4}{9}:1:\frac{20}{16}\] \[=\frac{4}{9}:1:\frac{5}{4}\]             \[=16:36:45\]


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