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SSC Sample Paper SSC CGL - Sample Paper-5

  • question_answer
    If \[a:b=\frac{2}{9}:\frac{1}{3},\] \[b:c=\frac{2}{7}:\frac{5}{14}\] and \[d:c=\frac{7}{10}:\frac{3}{5},\] then a : b : c : d is

    A)  4 : 6 : 7 : 9                  

    B)  16 : 24 : 30 : 35

    C)  8 : 12 : 15 : 7               

    D)  30 : 35 : 24 : 16

    Correct Answer: B

    Solution :

    \[a:b=\frac{2}{9}:\frac{1}{3}=2:3\] \[b:c=\frac{2}{7}:\frac{5}{14}=4:5\] \[d:c=\frac{7}{10}:\frac{3}{5}=7:6\] \[\Rightarrow \]   \[c:d=6:7\] Thus,             \[a:b=2:3\]             \[b:c=4:5\]             \[\underline{c:d=6:7}\] \[a:b:c:d=2\times 4\times 6:3\times 4\times 6:3\times 5\times 6:3\times 5\times 7\]      \[=16:24:30:35\]


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