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SSC Sample Paper Mock Test-3 SSC CGL Tear-II Paper-1

  • question_answer
       Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 56, then difference of first and third numbers is

    A)  12                               

    B)  20

    C)  24                               

    D)  48

    Correct Answer: D

    Solution :

    Let the three numbers are x, y and z. According to the question, \[x=2y\]                                                ?(i) \[\therefore \]      \[y=x/2\]                                    ...(ii) and       \[\frac{x+y+z}{3}=56\] \[\Rightarrow \]   \[x+y+z=56\times 3\] \[\Rightarrow \]   \[x+y+z=168\] \[\Rightarrow \]   \[x+\frac{x}{2}+z=168\] \[\Rightarrow \]   \[\frac{3x+2x}{2}=168\] \[\Rightarrow \]   \[3x+2z=168\times 2=336\] \[\Rightarrow \]   \[3x+2\times 2x=336\] \[\Rightarrow \]               \[7x=336\] \[\therefore \]                  \[x=48\] \[\therefore \]                  \[z=2x=2\times 48=96\] \[\therefore \]Difference between first and third numbers \[=96-48=48\]


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